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Johann Heinrich Lambert

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Johann Heinrich Lambert ( German: [ˈlambɛɐ̯t] ; French : Jean-Henri Lambert ; 26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic of Mulhouse , generally identified as either Swiss or French , who made important contributions to the subjects of mathematics , physics (particularly optics ), philosophy , astronomy and map projections .

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90-454: Lambert was born in 1728 into a Huguenot family in the city of Mulhouse (now in Alsace , France ), at that time a city-state allied to Switzerland . Some sources give 26 August as his birth date and others 28 August. Leaving school at 12, he continued to study in his free time while undertaking a series of jobs. These included assistant to his father (a tailor), a clerk at a nearby iron works,

180-656: A religious group of French Protestants who held to the Reformed ( Calvinist ) tradition of Protestantism. The term, which may be derived from the name of a Swiss political leader, the Genevan burgomaster Besançon Hugues (1491–1532), was in common use by the mid-16th century. Huguenot was frequently used in reference to those of the Reformed Church of France from the time of the Protestant Reformation . By contrast,

270-423: A scientific mission to Peru , to measure the length of a degree of latitude in the meridian arc near the equator . Ten years were spent in this operation, a full account of which was published by Bouguer in 1749, La figure de la terre (French for "the figure of the earth "). In 1746 he published the first treatise of naval architecture, Traité du navire , which among other achievements first explained

360-527: A Dutch and a German word. In the Dutch-speaking North of France , Bible students who gathered in each other's houses to study secretly were called Huis Genooten ("housemates") while on the Swiss and German borders they were termed Eid Genossen , or "oath fellows", that is, persons bound to each other by an oath . Gallicised into Huguenot , often used deprecatingly, the word became, during two and

450-430: A Spanish member of his South American expedition) which an observer may see infrequently in fog when sun breaks through (for example, on a mountain) and looks down-sun – effectively a " Fog bow " (as opposed to a "rain-bow"). It is "An infrequently observed meteorological phenomenon; a faint white, circular arc or complete ring of light that has a radius of 39 degrees and is centred on the antisolar point. When observed, it

540-517: A combined reference to the Swiss politician Besançon Hugues (died 1532) and the religiously conflicted nature of Swiss republicanism in his time. It used a derogatory pun on the name Hugues by way of the Dutch word Huisgenoten (literally 'housemates'), referring to the connotations of a somewhat related word in German Eidgenosse ('Confederate' in the sense of 'a citizen of one of

630-433: A completely Catholic origin. As one legend holds, a gateway area in the streets of Tours was haunted by the ghosts of le roi Huguet (a generic term for these spirits), "because they were wont to assemble near the gate named after Hugon, a Count of Tours in ancient times, who had left a record of evil deeds and had become in popular fancy a sort of sinister and maleficent genius. This count may have been Hugh of Tours , who

720-509: A decidedly Calvinistic influence . Although usually Huguenots are lumped into one group, there were actually two types of Huguenots that emerged. Since the Huguenots had political and religious goals, it was commonplace to refer to the Calvinists as "Huguenots of religion" and those who opposed the monarchy as "Huguenots of the state", who were mostly nobles. Like other religious reformers of

810-524: A definitive political movement thereafter. Protestant preachers rallied a considerable army and a formidable cavalry, which came under the leadership of Admiral Gaspard de Coligny. Henry of Navarre and the House of Bourbon allied themselves to the Huguenots, adding wealth and territorial holdings to the Protestant strength, which at its height grew to sixty fortified cities, and posed a serious and continuous threat to

900-569: A few short posts he was rewarded (1763) by an invitation to a position at the Prussian Academy of Sciences in Berlin, where he gained the sponsorship of Frederick II of Prussia , and became a friend of Euler . In this stimulating and financially stable environment, he worked prodigiously until his death in 1777. Lambert was the first to introduce hyperbolic functions into trigonometry . Also, he made conjectures about non-Euclidean space. Lambert

990-560: A half centuries of terror and triumph, a badge of enduring honour and courage. Some disagree with such non-French linguistic origins. Janet Gray argues that for the word to have spread into common use in France, it must have originated there in French. The "Hugues hypothesis" argues that the name was derived by association with Hugues Capet , king of France, who reigned long before the Reformation. He

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1080-717: A leader of the Swiss Reformation , establishing a Protestant republican government in Geneva. Jean Cauvin ( John Calvin ), another student at the University of Paris, also converted to Protestantism. Long after the sect was suppressed by Francis I, the remaining French Waldensians , then mostly in the Luberon region, sought to join Farel, Calvin and the Reformation, and Olivétan published a French Bible for them. The French Confession of 1559 shows

1170-616: A network of weather stations around the world, in which the various weather configurations (rain, clouds, dry ...) would be recorded – the methods that are still used nowadays. He also devoted himself to the improvement of the measuring instruments and accurate concepts for the advancement of meteorology. This results in his published works in 1769 and 1771 on hygrometry and hygrometers. Huguenot Christianity • Protestantism The Huguenots ( / ˈ h juː ɡ ə n ɒ t s / HEW -gə-nots , UK also /- n oʊ z / -⁠nohz ; French: [yɡ(ə)no] ) are

1260-564: A private tutor, secretary to the editor of Basler Zeitung and, at the age of 20, private tutor to the sons of Count Salis in Chur . Travelling Europe with his charges (1756–1758) allowed him to meet established mathematicians in the German states, The Netherlands, France and the Italian states. On his return to Chur he published his first books (on optics and cosmology) and began to seek an academic post. After

1350-584: A theory of the generation of the universe that was similar to the nebular hypothesis that Thomas Wright and Immanuel Kant had (independently) developed. Wright published his account in An Original Theory or New Hypothesis of the Universe (1750), Kant in Allgemeine Naturgeschichte und Theorie des Himmels , published anonymously in 1755. Shortly afterward, Lambert published his own version of

1440-522: A widow, in the summer of 1561. In 1561, the Edict of Orléans declared an end to the persecution, and the Edict of Saint-Germain of January 1562 formally recognised the Huguenots for the first time. However, these measures disguised the growing tensions between Protestants and Catholics. These tensions spurred eight civil wars, interrupted by periods of relative calm, between 1562 and 1598. With each break in peace,

1530-469: Is also known as "the father of naval architecture ". Bouguer's father, Jean Bouguer , one of the best hydrographers of his time, was Regius Professor of hydrography at Le Croisic in lower Brittany , and author of a treatise on navigation . He taught his sons Pierre and Jan at their home, where he also taught private students. In 1714, at the age of 16, Pierre was appointed to succeed his deceased father as professor of hydrography. In 1727 he gained

1620-412: Is credited with the first proof that π is irrational using a generalized continued fraction for the function tan x. Euler believed the conjecture but could not prove that π was irrational, and it is speculated that Aryabhata also believed this, in 500 CE. Lambert also devised theorems about conic sections that made the calculation of the orbits of comets simpler. Lambert devised a formula for

1710-507: Is usually in the form of a separate outer ring around an anticorona." The term Bouguer anomaly , referring to small regional variations in the Earth's gravity field resulting from density variations in underlying rocks, is named after him. A large bronze statue of him stands at the port in Le Croisic; see Works by Jean Fréour . [REDACTED]   This article incorporates text from

1800-556: The Église des Protestants réformés (French Protestant church). Huguenot descendants sometimes display this symbol as a sign of reconnaissance (recognition) between them. The issue of demographic strength and geographical spread of the Reformed tradition in France has been covered in a variety of sources. Most of them agree that the Huguenot population reached as many as 10% of the total population, or roughly 2 million people, on

1890-631: The Cévennes , most Reformed members of the United Protestant Church of France , French members of the largely German Protestant Reformed Church of Alsace and Lorraine , and the Huguenot diaspora in England and Australia , all still retain their beliefs and Huguenot designation. The availability of the Bible in vernacular languages was important to the spread of the Protestant movement and development of

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1980-626: The Edict of Fontainebleau , revoking the Edict of Nantes and declaring Protestantism illegal. The revocation forbade Protestant services, required education of children as Catholics, and prohibited emigration. It proved disastrous to the Huguenots and costly for France. It precipitated civil bloodshed, ruined commerce, and resulted in the illegal flight from the country of hundreds of thousands of Protestants, many of whom were intellectuals, doctors and business leaders whose skills were transferred to Britain as well as Holland, Switzerland, Prussia, South Africa and other places they fled to. 4,000 emigrated to

2070-519: The Edict of Nantes . The Edict reaffirmed Roman Catholicism as the state religion of France, but granted the Protestants equality with Catholics under the throne and a degree of religious and political freedom within their domains. The Edict simultaneously protected Catholic interests by discouraging the founding of new Protestant churches in Catholic-controlled regions. With the proclamation of

2160-545: The Edict of Versailles , commonly called the Edict of Tolerance , signed by Louis XVI in 1787. Two years later, with the Declaration of the Rights of Man and Citizen of 1789 , Protestants gained equal rights as citizens. Pierre Bouguer Pierre Bouguer ( French: [buˈge] ) (16 February 1698, Le Croisic – 15 August 1758, Paris) was a French mathematician , geophysicist , geodesist , and astronomer . He

2250-456: The French Wars of Religion , fought intermittently from 1562 to 1598. The Huguenots were led by Jeanne d'Albret ; her son, the future Henry IV (who would later convert to Catholicism in order to become king); and the princes of Condé . The wars ended with the Edict of Nantes of 1598, which granted the Huguenots substantial religious, political and military autonomy. Huguenot rebellions in

2340-663: The Thirteen Colonies , where they settled, especially in New York, the Delaware River Valley in Eastern Pennsylvania, New Jersey, and Virginia. The English authorities welcomed the French refugees, providing money from both government and private agencies to aid their relocation. Those Huguenots who stayed in France were subsequently forcibly converted to Roman Catholicism and were called "new converts". After this,

2430-690: The United Kingdom , the United States , South Africa , Australia , and a number of other countries still retain their identity. The bulk of Huguenot émigrés moved to Protestant states such as the Dutch Republic , England and Wales (prominently in Kent and London), Protestant-controlled Ireland , the Channel Islands , Scotland , Denmark , Sweden , Switzerland , the electorates of Brandenburg and

2520-569: The 1534 Affair of the Placards , however, he distanced himself from Huguenots and their protection. Huguenot numbers grew rapidly between 1555 and 1561, chiefly amongst nobles and city dwellers. During this time, their opponents first dubbed the Protestants Huguenots ; but they called themselves reformés , or "Reformed". They organised their first national synod in 1558 in Paris. By 1562,

2610-511: The 1620s resulted in the abolition of their political and military privileges. They retained the religious provisions of the Edict of Nantes until the rule of Louis XIV, who gradually increased persecution of Protestantism until he issued the Edict of Fontainebleau (1685). This ended legal recognition of Protestantism in France and the Huguenots were forced to either convert to Catholicism (possibly as Nicodemites ) or flee as refugees; they were subject to violent dragonnades. Louis XIV claimed that

2700-568: The 1760s Protestantism was no longer a favourite religion of the elite. By then, most Protestants were Cévennes peasants. It was still illegal, and, although the law was seldom enforced, it could be a threat or a nuisance to Protestants. Calvinists lived primarily in the Midi ; about 200,000 Lutherans accompanied by some Calvinists lived in the newly acquired Alsace , where the 1648 Treaty of Westphalia effectively protected them. Persecution of Protestants diminished in France after 1724, finally ending with

2790-453: The Academy of Sciences. He also invented a heliometer , afterwards perfected by Joseph von Fraunhofer . He was afterwards promoted in the Academy to the place of Maupertuis, and went to reside in Paris. Bouguer's Mémoire presented to the Academy of Sciences in 1734 and published in 1736 was the first treatise on the theory of dome. In 1735 Bouguer sailed with Charles Marie de La Condamine on

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2880-611: The Atlantic coast in La Rochelle , and also spread across provinces of Normandy and Poitou . In the south, towns like Castres , Montauban , Montpellier and Nîmes were Huguenot strongholds. In addition, a dense network of Protestant villages permeated the rural mountainous region of the Cevennes . Inhabited by Camisards , it continues to be the backbone of French Protestantism . Historians estimate that roughly 80% of all Huguenots lived in

2970-632: The Bible into one of France's regional languages, Arpitan or Franco-Provençal , had been prepared by the 12th-century pre-Protestant reformer Peter Waldo (Pierre de Vaux). The Waldensians created fortified areas, as in Cabrières , perhaps attacking an abbey. They were suppressed by Francis I in 1545 in the Massacre of Mérindol . Other predecessors of the Reformed church included the pro-reform and Gallican Roman Catholics, such as Jacques Lefevre (c. 1455–1536). The Gallicans briefly achieved independence for

3060-593: The Catholic crown and Paris over the next three decades. [no source] The Catholic Church in France and many of its members opposed the Huguenots. Some Huguenot preachers and congregants were attacked as they attempted to meet for worship. The height of this persecution was the St. Bartholomew's Day massacre in August, 1572, when 5,000 to 30,000 were killed, although there were also underlying political reasons for this as well, as some of

3150-509: The Composition of Terrestrial and Celestial Maps by Waldo Tobler (1972)). Lambert did not give names to any of his projections but they are now known as: The first three of these are of great importance. Further details may be found at map projections and in several texts. Lambert invented the first practical hygrometer . In 1760, he published a book on photometry, the Photometria . From

3240-412: The Edict of Nantes, and the subsequent protection of Huguenot rights, pressures to leave France abated. However, enforcement of the Edict grew increasingly irregular over time, making life so intolerable that many fled the country. The Huguenot population of France dropped to 856,000 by the mid-1660s, of which a plurality lived in rural areas. The greatest concentrations of Huguenots at this time resided in

3330-523: The French Huguenot population was reduced from about 900,000 or 800,000 adherents to just 1,000 or 1,500. He exaggerated the decline, but the dragonnades were devastating for the French Protestant community. The exodus of Huguenots from France created a brain drain , as many of them had occupied important places in society. The remaining Huguenots faced continued persecution under Louis XV . By

3420-623: The French church, on the principle that the religion of France could not be controlled by the Bishop of Rome, a foreign power. During the Protestant Reformation, Lefevre, a professor at the University of Paris , published his French translation of the New Testament in 1523, followed by the whole Bible in the French language in 1530. William Farel was a student of Lefevre who went on to become

3510-596: The French crown offered increasingly liberal political concessions and edicts of toleration. Following the accidental death of Henry II in 1559, his son succeeded as King Francis II along with his wife, the Queen Consort, also known as Mary, Queen of Scots . During the eighteen months of the reign of Francis II, Mary encouraged a policy of rounding up French Huguenots on charges of heresy and putting them in front of Catholic judges, and employing torture and burning as punishments for dissenters. Mary returned to Scotland

3600-510: The French crown. Louis XIV inherited the throne in 1643 and acted increasingly aggressively to force the Huguenots to convert. At first he sent missionaries , backed by a fund to financially reward converts to Roman Catholicism. Then he imposed penalties, closed Huguenot schools and excluded them from favoured professions. Escalating, he instituted dragonnades , which included the occupation and looting of Huguenot homes by military troops, in an effort to forcibly convert them. In 1685, he issued

3690-464: The French throne. The crown, occupied by the House of Valois , generally supported the Catholic side, but on occasion switched over to the Protestant cause when politically expedient. The French Wars of Religion began with the Massacre of Vassy on 1 March 1562, when dozens (some sources say hundreds ) of Huguenots were killed, and about 200 were wounded. It was in this year that some Huguenots destroyed

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3780-462: The Huguenots (with estimates ranging from 200,000 to 1,000,000 ) fled to Protestant countries: England, the Netherlands, Switzerland, Norway, Denmark, and Prussia—whose Calvinist Great Elector Frederick William welcomed them to help rebuild his war-ravaged and underpopulated country. Following this exodus, Huguenots remained in large numbers in only one region of France: the rugged Cévennes region in

3870-536: The Huguenots killed priests, monks, and nuns, attacked monasticism, and destroyed sacred images, relics, and church buildings. [no source] Most of the cities in which the Huguenots gained a hold saw iconoclast riots in which altars and images in churches, and sometimes the buildings themselves torn down. Ancient relics and texts were destroyed; the bodies of saints exhumed and burned. [no source] The cities of Bourges, Montauban and Orléans saw substantial activity in this regard. The Huguenots transformed themselves into

3960-491: The Huguenots were nobles trying to establish separate centres of power in southern France. Retaliating against the French Catholics, the Huguenots had their own militia. Early in his reign, Francis I ( r.  1515–1547 ) persecuted the old, pre-Protestant movement of Waldensians in southeastern France. Francis initially protected the Huguenot dissidents from Parlementary measures seeking to exterminate them. After

4050-454: The Huguenots' trust in the Catholic throne diminished, and the violence became more severe, and Protestant demands became grander, until a lasting cessation of open hostility finally occurred in 1598. The wars gradually took on a dynastic character, developing into an extended feud between the Houses of Bourbon and Guise , both of which—in addition to holding rival religious views—staked a claim to

4140-791: The Palatinate in the Holy Roman Empire , and the Duchy of Prussia . Some fled as refugees to the Dutch Cape Colony , the Dutch East Indies , various Caribbean colonies, and several of the Dutch and English colonies in North America. A few families went to Orthodox Russia and Catholic Quebec . After centuries, most Huguenots assimilated into the various societies and cultures where they have settled. Remnant communities of Camisards in

4230-449: The Protestant populations of eastern France, in Alsace , Moselle , and Montbéliard , were mainly Lutherans . In his Encyclopedia of Protestantism , Hans Hillerbrand wrote that on the eve of the St. Bartholomew's Day massacre in 1572, the Huguenot community made up as much as 10% of the French population. By 1600, it had declined to 7–8%, and was reduced further late in the century after

4320-629: The Reformed Church in France. The country had a long history of struggles with the papacy (see the Avignon Papacy , for example) by the time the Protestant Reformation finally arrived. Around 1294, a French version of the scriptures was prepared by the Roman Catholic priest, Guyard des Moulins . A two-volume illustrated folio paraphrase version based on his manuscript, by Jean de Rély, was printed in Paris in 1487. The first known translation of

4410-567: The Reformed Church) who were involved in the Amboise plot of 1560: a foiled attempt to wrest power in France from the influential and zealously Catholic House of Guise . This action would have fostered relations with the Swiss. O. I. A. Roche promoted this idea among historians. He wrote in his book, The Days of the Upright, A History of the Huguenots (1965), that Huguenot is: a combination of

4500-535: The Reformed areas revolted against royal authority. The uprising occurred a decade following the death of Henry IV , who was assassinated by a Catholic fanatic in 1610. His successor Louis XIII , under the regency of his Italian Catholic mother Marie de' Medici , was more intolerant of Protestantism. The Huguenots responded by establishing independent political and military structures, establishing diplomatic contacts with foreign powers, and openly revolting against central power. The rebellions were implacably suppressed by

4590-466: The angles change in a way that forbids the existence of similar hyperbolic triangles, as only triangles that have the same angles will have the same area. Hence, instead of the area of the triangle's being expressed in terms of the lengths of its sides, as in Euclidean geometry, the area of Lambert's hyperbolic triangle can be expressed in terms of its angles. Lambert was the first mathematician to address

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4680-406: The assumption that light travels in straight lines, he showed that illumination was proportional to the strength of the source, inversely proportional to the square of the distance of the illuminated surface and the sine of the angle of inclination of the light's direction to that of the surface. These results were supported by experiments involving the visual comparison of illuminations and used for

4770-498: The astronomers who began with establishing general laws and middle movements without bothering too much with details first. [...] Should one not do the same in meteorology? It is a sure fact that meteorology has general laws and that it contains a great number of periodic phenomena. But we can but scarcely guess these latter. Only few observations have been made so far, and between these one cannot find connections. To obtain more and better data of meteorology, Lambert proposed to establish

4860-503: The calculation of illumination. In Photometria Lambert also cited a law of light absorption, formulated earlier by Pierre Bouguer he is mistakenly credited for (the Beer–Lambert law ) and introduced the term albedo . Lambertian reflectance is named after him. He wrote a classic work on perspective and contributed to geometrical optics . The non- SI unit of luminance, lambert , is named in recognition of his work in establishing

4950-514: The central part of the country, were also contested between the French Reformed and Catholic nobles. Demographically, there were some areas in which the whole populations had been Reformed. These included villages in and around the Massif Central , as well as the area around Dordogne , which used to be almost entirely Reformed too. John Calvin was a Frenchman and himself largely responsible for

5040-477: The country of Tourraine and Amboyse, it became in vogue after that enterprise." Some have suggested the name was derived, with intended scorn, from les guenon de Hus (the 'monkeys' or 'apes of Jan Hus '). By 1911, there was still no consensus in the United States on this interpretation. The Huguenot cross is the distinctive emblem of the Huguenots ( croix huguenote ). It is now an official symbol of

5130-465: The day that they were forced to wait till night to assemble, for the purpose of praying God, for preaching and receiving the Holy Sacrament; so that although they did not frighten nor hurt anybody, the priests, through mockery, made them the successors of those spirits which roam the night; and thus that name being quite common in the mouth of the populace, to designate the evangelical huguenands in

5220-403: The defect C△ = π — (α + β + γ). That is, the area of a hyperbolic triangle (multiplied by a constant C) is equal to π (radians), or 180°, minus the sum of the angles α, β, and γ. Here C denotes, in the present sense, the negative of the curvature of the surface (taking the negative is necessary as the curvature of a saddle surface is by definition negative). As the triangle gets larger or smaller,

5310-540: The dismantling of the city's fortifications. A royal citadel was built and the university and consulate were taken over by the Catholic party. Even before the Edict of Alès (1629), Protestant rule was dead and the ville de sûreté was no more. By 1620, the Huguenots were on the defensive, and the government increasingly applied pressure. A series of three small civil wars known as the Huguenot rebellions broke out, mainly in southwestern France, between 1621 and 1629 in which

5400-488: The earlier theoretical proposals of Tobias Mayer , greatly extending these early ideas. Lambert was assisted in this project by the court painter Benjamin Calau . In his main philosophical work, Neues Organon ( New Organon , 1764, named after Aristotle 's Organon ), Lambert studied the rules for distinguishing subjective from objective appearances, connecting with his work in optics . The Neues Organon contains one of

5490-428: The estimated number of Huguenots peaked at approximately two million, concentrated mainly in the western, southern, and some central parts of France, compared to approximately sixteen million Catholics during the same period. Persecution diminished the number of Huguenots who remained in France. As the Huguenots gained influence and displayed their faith more openly, Roman Catholic hostility towards them grew, even though

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5580-501: The eve of the St. Bartholomew's Day massacre in 1572. The new teaching of John Calvin attracted sizeable portions of the nobility and urban bourgeoisie . After John Calvin introduced the Reformation in France, the number of French Protestants steadily swelled to ten percent of the population, or roughly 1.8 million people, in the decade between 1560 and 1570. During the same period there were some 1,400 Reformed churches operating in France. Hans J. Hillerbrand, an expert on

5670-521: The eve of the St. Bartholomew's Day massacre. Since then, it sharply decreased as the Huguenots were no longer tolerated by both the French royalty and the Catholic masses. By the end of the sixteenth century, Huguenots constituted 7–8% of the whole population, or 1.2 million people. By the time Louis XIV revoked the Edict of Nantes in 1685, Huguenots accounted for 800,000 to 1 million people. Huguenots controlled sizeable areas in southern and western France. In addition, many areas, especially in

5760-405: The exact number of fatalities throughout the country is not known, on 23–24 August, between 2,000 and 3,000 Protestants were killed in Paris and a further 3,000 to 7,000 more in the French provinces. By 17 September, almost 25,000 Protestants had been massacred in Paris alone. Beyond Paris, the killings continued until 3 October. An amnesty granted in 1573 pardoned the perpetrators. Following

5850-441: The first appearances of the term phenomenology , and it includes a presentation of the various kinds of syllogism . According to John Stuart Mill , The German philosopher Lambert, whose Neues Organon (published in the year 1764) contains among other things one of the most elaborate and complete expositions of the syllogistic doctrine , has expressly examined which sort of arguments fall most suitably and naturally into each of

5940-451: The following account as to the origin of the name, as cited by The Cape Monthly : Reguier de la Plancha accounts for it [the name] as follows: "The name huguenand was given to those of the religion during the affair of Amboyse, and they were to retain it ever since. I'll say a word about it to settle the doubts of those who have strayed in seeking its origin. The superstition of our ancestors, to within twenty or thirty years thereabouts,

6030-413: The four figures; and his investigation is characterized by great ingenuity and clearness of thought. A modern edition of the Neues Organon was published in 1990 by the Akademie-Verlag of Berlin. In 1765 Lambert began corresponding with Immanuel Kant . Kant intended to dedicate the Critique of Pure Reason to Lambert, but the work was delayed, appearing after Lambert's death. Lambert also developed

6120-418: The general properties of map projections (of a spherical Earth). In particular he was the first to discuss the properties of conformality and equal area preservation and to point out that they were mutually exclusive. (Snyder 1993 p77). In 1772, Lambert published seven new map projections under the title Anmerkungen und Zusätze zur Entwerfung der Land- und Himmelscharten , (translated as Notes and Comments on

6210-457: The introduction and spread of the Reformed tradition in France. He wrote in French, but unlike the Protestant development in Germany , where Lutheran writings were widely distributed and could be read by the common man, it was not the case in France, where only nobles adopted the new faith and the folk remained Catholic. This is true for many areas in the west and south controlled by the Huguenot nobility. Although relatively large portions of

6300-419: The killings many Protestants fled to the Kentish coast among other places. The pattern of warfare, followed by brief periods of peace, continued for nearly another quarter-century. The warfare was definitively quelled in 1598, when Henry of Navarre, having succeeded to the French throne as Henry IV , and having recanted Protestantism in favour of Roman Catholicism in order to obtain the French crown, issued

6390-423: The nebular hypothesis of the origin of the Solar System in Cosmologische Briefe über die Einrichtung des Weltbaues (1761). Lambert hypothesized that the stars near the Sun were part of a group which travelled together through the Milky Way , and that there were many such groupings ( star systems ) throughout the galaxy . The former was later confirmed by Sir William Herschel . In astrodynamics he also solved

6480-549: The object of which is to define the quantity of light lost by passing through a given extent of the atmosphere , and became the first known discoverer of what is now more commonly known as the Beer-Lambert law . He found the light of the sun to be 300 000 times more intense than that of the moon , and thus made some of the earliest measurements in photometry . In 1730 he was made professor of hydrography at Le Havre , and succeeded Pierre Louis Maupertuis as associate geometer of

6570-448: The peasant population became Reformed there, the people, altogether, still remained majority Catholic. Overall, Huguenot presence was heavily concentrated in the western and southern portions of the French kingdom, as nobles there secured practise of the new faith. These included Languedoc-Roussillon , Gascony and even a strip of land that stretched into the Dauphiné . Huguenots lived on

6660-562: The prize given by the French Academy of Sciences for his paper On the masting of ships , beating Leonhard Euler ; and two other prizes, one for his dissertation On the best method of observing the altitude of stars at sea , the other for his paper On the best method of observing the variation of the compass at sea . These were published in the Prix de l'Académie des Sciences. In 1729 he published Essai d'optique sur la gradation de la lumière ,

6750-549: The problem of determination of time of flight along a section of orbit, known now as Lambert's problem . His work in this area is commemorated by the Asteroid 187 Lamberta named in his honour. Lambert propounded the ideology of observing periodic phenomena first, try to derive their rules and then gradually expand the theory. He expressed his purpose in meteorology as follows: It seems to me that if one wants to make meteorology more scientific than it currently is, one should imitate

6840-421: The regions of Guienne , Saintonge- Aunis - Angoumois and Poitou . Montpellier was among the most important of the 66 villes de sûreté ('cities of protection' or 'protected cities') that the Edict of 1598 granted to the Huguenots. The city's political institutions and the university were all handed over to the Huguenots. Tension with Paris led to a siege by the royal army in 1622 . Peace terms called for

6930-406: The relationship between the angles and the area of hyperbolic triangles . These are triangles drawn on a concave surface, as on a saddle , instead of the usual flat Euclidean surface. Lambert showed that the angles added up to less than π ( radians ), or 180°. The defect (amount of shortfall) increases with area. The larger the triangle's area, the smaller the sum of the angles and hence the larger

7020-557: The return of persecution under Louis XIV , who instituted the dragonnades to forcibly convert Protestants, and then finally revoked all Protestant rights in his Edict of Fontainebleau of 1685. In 1986, the Protestant population sat at 1% of the population. The Huguenots were concentrated in the southern and western parts of the Kingdom of France . As Huguenots gained influence and more openly displayed their faith, Catholic hostility grew. A series of religious conflicts followed, known as

7110-590: The south. There were also some Calvinists in the Alsace region, which then belonged to the Holy Roman Empire . In the early 18th century, a regional group known as the Camisards (who were Huguenots of the mountainous Massif Central region) rioted against the Catholic Church, burning churches and killing the clergy. It took French troops years to hunt down and destroy all the bands of Camisards, between 1702 and 1709. By

7200-700: The states of the Swiss Confederacy'). Geneva was John Calvin 's adopted home and the centre of the Calvinist movement. In Geneva, Hugues, though Catholic , was a leader of the "Confederate Party", so called because it favoured independence from the Duke of Savoy . It sought an alliance between the city-state of Geneva and the Swiss Confederation . The label Huguenot was purportedly first applied in France to those conspirators (all of them aristocratic members of

7290-420: The study of photometry . Lambert was also a pioneer in the development of three-dimensional colour models . Late in life, he published a description of a triangular colour pyramid ( Farbenpyramide ), which shows a total of 107 colours on six different levels, variously combining red, yellow and blue pigments, and with an increasing amount of white to provide the vertical component. His investigations were built on

7380-461: The subject, in his Encyclopedia of Protestantism: 4-volume Set claims the Huguenot community reached as much as 10% of the French population on the eve of the St. Bartholomew's Day massacre , declining to 7 to 8% by the end of the 16th century, and further after heavy persecution began once again with the Revocation of the Edict of Nantes by Louis XIV in 1685. Among the nobles, Calvinism peaked on

7470-590: The time of his death in 1774, Calvinism had been all but eliminated from France. Persecution of Protestants officially ended with the Edict of Versailles , signed by Louis XVI in 1787. Two years later, with the Revolutionary Declaration of the Rights of Man and of the Citizen of 1789, Protestants gained equal rights as citizens. A term used originally in derision, Huguenot has unclear origins. Various hypotheses have been promoted. The term may have been

7560-451: The time, Huguenots felt that the Catholic Church needed a radical cleansing of its impurities, and that the Pope represented a worldly kingdom, which sat in mocking tyranny over the things of God, and was ultimately doomed. Rhetoric like this became fiercer as events unfolded, and eventually stirred up a reaction in the Catholic establishment. [no source] Fanatically opposed to the Catholic Church,

7650-586: The tomb and remains of Saint Irenaeus (d. 202), an early Church father and bishop who was a disciple of Polycarp . The Michelade by Huguenotes against Catholics was later on 29 September 1567. In what became known as the St. Bartholomew's Day massacre of 24 August – 3 October 1572, Catholics killed thousands of Huguenots in Paris and similar massacres took place in other towns in the following weeks. The main provincial towns and cities experiencing massacres were Aix , Bordeaux , Bourges , Lyons , Meaux , Orléans , Rouen , Toulouse , and Troyes . Although

7740-513: The use of the metacenter as a measure of ships' stability. His later writings were nearly all upon the theory of navigation and naval architecture. In January 1750 he was elected a Fellow of the Royal Society . A crater on Mars was named in his honour. A lunar crater and an asteroid were also named after him. His name is also recalled as the meteorological term Bouguer's halo (also known as Ulloa's halo , after Antonio de Ulloa ,

7830-536: The western and southern areas of France. Today, there are some Reformed communities around the world that still retain their Huguenot identity. In France, Calvinists in the United Protestant Church of France and also some in the Protestant Reformed Church of Alsace and Lorraine consider themselves Huguenots. A rural Huguenot community in the Cevennes that rebelled in 1702 is still called Camisards , especially in historical contexts. Huguenot exiles in

7920-864: Was disliked for his cowardice. Additionally, it is related, that, it was believed, (that of these spirits) instead of spending their time in Purgatory, came back to rattle doors and haunt and harm people at night. Protestants went out at nights to their lascivious conventicles, and so the priests and the people began to call them Huguenots in Tours and then elsewhere." The name, Huguenot, "the people applied in hatred and derision to those who were elsewhere called Lutherans, and from Touraine it spread throughout France." The prétendus réformés ('supposedly reformed') were said to gather at night at Tours , both for political purposes, and for prayer and singing psalms . Reguier de la Plancha (d. 1560) in his De l'Estat de France offered

8010-528: Was regarded by the Gallicians as a noble man who respected people's dignity and lives. Janet Gray and other supporters of the hypothesis suggest that the name huguenote would be roughly equivalent to 'little Hugos', or 'those who want Hugo'. Paul Ristelhuber, in his 1879 introduction to a new edition of the controversial and censored, but popular 1566 work Apologie pour Hérodote , by Henri Estienne , mentions these theories and opinions, but tends to support

8100-694: Was such that in almost all the towns in the kingdom they had a notion that certain spirits underwent their Purgatory in this world after death, and that they went about the town at night, striking and outraging many people whom they found in the streets. But the light of the Gospel has made them vanish, and teaches us that these spirits were street-strollers and ruffians. In Paris the spirit was called le moine bourré ; at Orléans, le mulet odet ; at Blois le loup garon ; at Tours, le Roy Huguet ; and so on in other places. Now, it happens that those whom they called Lutherans were at that time so narrowly watched during

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