‹ Aperçu historique sur l'origine et le développement des méthodes en géométrie, particulièrement de celles qui se rapportent à la géométrie moderne, suivi d'un mémoire de géométrie sur deux principes généraux de la science, la dualité et l'homographie;Chapitre 49 sur 99 · L'APERÇU HISTORIQUE · texte numérisé non relu

L'APERÇU HISTORIQUE

AboulWefa,495, 526.

Aboul Hhassan Ali, 496.

Abraham Abenezree, 499.

Adalbolde» SK)7.

Adhelard,509.

AguiIoo,516.

Ahmed benGhalil, 550.

Albalegnius, 494, 526.

Albcrt-le-Graod, 51i, 517.

Albumazar, 5iO.

Alkindos, 492, 496.

Aleuia,430, 504.

Alfarabius, 510,518.

Alfraganus» 5iO.

Alhaxen,498,509.

Almansor, 489.

Alâteditts» 4S3, 478.

Ampère, 405, 220, 390, 415.

Anderson (Alexandre), 42, 127, 282, 283, 442, 527.

Andrès, 505, 504, 511.

Angelîs, 93.

Apian (P.), 445.

ApoltoDÎus, 7, 9, 15, 17-23, 58, 41, 42, 46, 80,89, 116, 119, 121, 124, 210, 285, 314, 325, 331, 476, 489, 500, 513, 514, 518,

Apulée, 505.

Arago , 208, 356.

Arcbimède, 15-17. 21-23, 48, 56, 59, 77, 90, 116, 162, 163, 210, 273, 358, 428, 475, 476, 489, 514, 515, 523, 546,

Archytas, 6, 427, 434, 463.

Argyrus , 523.

Aristëe, 7, 21, 46, 89, 513, 514.

Aristote, 22, 59, 288, 544.

Augustin (Saint), 461, 462.

Auver (Christophe), 540.

Bauhet de Heziriac, 38Â, 418, i27, U5.

Bacon (Roger), 464.

Bailly, 38, 456, 482.

Baillct, 86.

Barbara (Daniel), 481.

Barlaam, S3ô.

Barocci, 434.

Barrow, 109, 142. 498.

Bayer, 474.

Bayle, 330.

Bcnugrood, 77, 78, 293, 331, 333.

Hèdc, 450, 465, 472, 502, 505, 50^. 506.

Bernard (Éd.), 474, 520, 523, HU.

Bernardin Bntdi, 272, 514, 520, 521. 524,

Bernclin, 507.

nprnoiilli (Jacques), 19, 65, 69, 97, 103,

Bcriioulli (Jean). 69, 97, 141 , 216, 258, 392,

Renedipli» (J.-B.), 215, 443, 538, 540.

BoHson, 282.

IlesHarion , 526.

Rpughoni, 138.

BlniBcara Arlisrya, 418, 419, 420, 425, 426,

Biagiodc Parme, 524.

imiy(no), 44.^513.

ltinH,«6,i20, 244, 390, 415.

Biot, 105.

Blniicnniii, 273.

Blanchinus, 527, 540.

Bobillier, 233, 390, 399, 401.

Boèce, 389, 433, 427, 457, 458, 499,461.

Borelli, 7.

Boscovich, 433.

Bosse, 76, 78, 83, 85, 86, 87, 217, 39), 333,

Bossut, 71, 131,338.

Bouillaud, 16, 383.

Bouvclles, 480, 486.

Bradwardin, 513, 521, 533.

Brahë, 485.

Bragclongne, 1S1.

Brahmegupla, 418, 419, 420-447, 450, 451,

Braikenridgc, 37, 101, 151, 159, 336, 40S. Bressms,293.

Brewslcr, 105.

Bpeysig,2l7.

Brianchon, 34, 78, 83, 98, 191, 214, 393.

Broscius , 486-487.

Bruno, 46.

Buffon, 63.

Buhae-oodd-deen , 492.

Burja,139.

Butéon, 447-539.

Byrge, 4831

Culim-t {)).), 474.

TamiTiT, 53.

Cnmiittnii*. 423, 478, 479, 508, bIt-514,

!ilH.

<:n|idlii (MarlinnuH), 458, 461, 463, 472. CiiruvNKe, 2tf!i.

Cardan, 214, 291, 433,443,489, 49t, 482.

Carnot, 73, 117, 134. 184, 310-213, 216,

Casiri, 392, 432, 490, 492, 493.

Cassini ,56.

nm

Cassiodore, 289, 423, 461, 462, 525.

Castillon, 284, 328, 500.

Cavatierl, 22, 55, 57, 61, 68, 90, 9i, 94, iOO,

Cë8ap(J.),457,463.

Ceva (J.), 93, 216, 258, 292, 293, 294, 554. Cbamber, 523.

Cbarlemagne, 504.

Cbaiurveda, 421, 423, 428, 437, 446, 449. Cboquet, 346.

Cicéron, 457, 469.

Clairault, 69, 138, 141, 146, 167, 532, 553. ClairauU(J'),138.

Clavius. 443, 479, 497, 512, 515, 558.

Clicbtovée, 466, 473.

Colebrooke, 418, 419, 420, 422, 465, 490.

ColoDia, 334.

Columelle, 458, 459, 460.

Comiers, 512.

CommandiD, 30, 41, 497, 520, 538.

Comte, 284, 415.

Copernic, 462, 495, 529.

Coriolis, 554.

Cossali, 524.

Cotes, 144, 146.

Coupcier, 141, 238.

Cousinery, 1 37, 1 96, 268.

Cramer, 152, 328.

Crelle, 206, 215,

Ctésibius, 543.

Curabelle, 86, 87, 330, 331, 332.

Cusa (Nicolas de), 481, 523, 529.

D'Alembert, 63, 164, 168, 238, 241, 289,

Dandelin , 21 5, 220, 250, 286, 287.

Dante (Egnazio) , 348.

Dasypodius, 271, 273, 474, 553.

Daunou, 464.

Dawson, 74.

De Beaune, 96, 110.

De Cballes , 272, 433.

Dëe , 497.

DeGua,152.

Delarabre, 24, 27,419, 431. 465, 470, 476,

De la Rue, 533, 355.

Delorme (Philibert) , 355.

Demëtrius, 29.

Deroonferrand , 390.

De Murr, 527.

Deran, 355.

Desargues , 54, 39, 47, 67, 72, 73, 74-88. 90,

Descartes, 22, 28, 28, 37, 52, 53, 57, 58, 60, 65, 68, 71, 75, 76, 81, 86, 91, 94-97, 104, H, 113, 116, 140, 143, 161, 256, 257, 277, 288, 330, 350, 417, 482, 548.

De Stainville, 371.

D'Herbe]ot,488, 491.

Dinostrate , 7, 50.

Diodes, 7,48,411,535.

Dion Cassius, 481.

Dionis du Séjour, 1 52.

Dionysidore, 533.

Diophante, 11, 99, 282, U2, 489, 490, 557.

Doppelmayer, 446.

Dumolinet, 559.

Dupin (Ch.), 65, 108, 213, 214, 220, 243, 244, 556, 586, 390.

Durrande , 238.

Durer (Albert), 135, 216, 529, 555.

Eisenman, 284.

Encontre, 57i.

£ratostbëne,7, 2i, 46.

£rrard,445.

Euclide, 9-U, 16, 2i, 37, 39, 46, 67, i\6.

Eudoxe, 6, 9.

Euler, 45, 55, 66, 152, 153, 475, 244, 244,

30i, 305, 328, 442, 448, 432, 433, 486. Eutodus, 49, 422, 543.

Fabre dTtaples, 464, 516, 524.

Fabri, 69.

Fabricius, 510, 544, 520, 543.

Fatio de Duiller, 412.

Faucber, 357.

Pergola , 46, 66.

Fermât, 22, 41, 57, 58, 60, 61-68, 79, 86,

Fibonacci (Léonard de Pise), 432, 433, 434,

Flamsteed , 56.

Flauti,30, 46, 66, 293.

Fontenelle, 269.

Fourier, 63.

Français , 67.

Francbini, 491, 514.

Fresnel, 105.

Frezier, 141,333, 355.

Friscblin , 290.

Frisius (Gemma), 291, 466.

Frontinus, 431, 457, 458, 459.

Fu8s, 53, 153, 188, 236, 293, 328, 432.

Galilée, 16, 68, 93, 103, 210, 411, 482, 527,

Ganesa,422, 440, 447, 534.

Garbinski, 31.

Gaultier, 65, 206, 207.

Gauricus, 514.

Gauss, 215. Geber, 483, 489.

Gellibrand, 55.

Geminus, 8, 20, 24.

Gérard de Crémone, 509, 519.

Gerbert (Sylvestre 11), 458, 464, 465, 466,

Gergonne,83, 107, 115, 191, 215, 238,255,

Gesncr(C.),517, 544.

Gbetaldi (Marin) , 42, 283.

Giannini, 42.

Girard (Albert), 283, 440, 546.

Goens (W.), 459.

Golius, 500.

Goudin , 1 52.

Goujet, 504.

Grandi (Guido), 31, 93, 102, 441.

Greaves, 467.

Grégoire de Nazianze, 543.

Grégoire de Saint- Vincent, 90-93, 94, 426,

Grégory, 93.

Guarini,120, 345.

Gudennann, 239.

Gaeneau d'Aumont, 238.

Guillaume de M&lmesbury, 465, 504.

Guignée, iâ7.

Guldin , 29, 57, 90.

Hachette, 2i4, 217, 241, 248, 284, 356, 547.

Haenel, 445, 457.

Hager, 559.

Halber, 508. '

Halley, i% 20, 41, 47, 56, 125, 140. 153,

Hamet ben Musa , 432, 434, 489, 492.

HainîltoQ,108, 286.

Haseo ben Musa , 432, 454, 489, 492.

Hassan ben Haithem , 498-504, 527.

Heilbronner, 272, 445, 468, 514, 52i, 528,

Hcnrion , 460.

Heriger, 507.

Hermann (Jacques), 69, 82, 112, 141.

Hcrmann Contractus, 508.

Hermotime de Colophon , 9.

Héron d'Alexandrie, 7, 271, 451, 435, 454,

Héron-le-Jeune , 431, 434, 544.

Herschel,105, 162, 240. Hipparque, 24, 235, 293.

Hippias , 8.

Hippocrate de Chio , 5, 9.

Horace, 457.

Hudde,99.

Huct, 467, 474.

Hugo de Oniérique, 42.

Humboldt, 558, 559.

Huret (Grégoire), 79, 331.

Hutton, 419.

Huygens, 69, 91, 93,101-109,1 10, 127, 142, 143, 156, 161, 210, 252, 498, 527, 553.

Hypsicle, 9, 489, 511, 513, 514.

Ibn Younis, 495, 526.

Isidore-le-Grand, 514.

Isidore de Millet, 49.

Isidore de Séville, 458, 461, 462, 525. Ivory, 165, 394, 396.

Jacob (Simon) , 44, 445.

Jaeobi,166, 215.

Jacquier, 82, 145, 346.

Jamblique , 557.

Jean de Séville (Johannes Hispalensis), 510, 519, 535.

Jeaurat, 346.

Jordan Nemorarius , 433, 434, 464, 492, 51 1 ,

Jourdain , 509.

Jousse (Mathurin), 355.

Kastner, 479.

Kepler, 7, 22, 52, 56, 61, 90, 104, 157, 210, 288, 252, 479, 482-486, 489, 493, 508, 51 4.

Killingword , 523.

Kircher, 283, 478, 481

Lacroix, 10,^254,356,358.

Lagny, 354.

Lagrange, 56, 61, 63, ii2, 155, 465, 165,

168, i69, 488, 252, 267, 528, 412, 486. La Hirc, 19, 48, 69, 87, 88, 90, 118-450,

Lalande, 346, 514.

La]oubère,69, 95, 440.

Laloubèrc (Simon), 559.

Lambert, 55, 86, 443, 155, 154, 469, 185-

Lamé, 247.

Landeo, 174.

Laplace, 65, 254.

Lawson , 284.

Lefébure de Fourcy, 556.

LefraDçois,218, 219. Legendre, 465, 468, 257, 395, 446, 556.

Leibniz, 22, 62, 69, 70, 76, 86, 94, 97, 440,

Lejeune-Dirichlet, 245.

Léon, 9.

Léonard de Pise. {Voir Fibonacci.)

Léonard de Vinci. ( Voir Vinci.)

Léotaud, 95.

Le Poivre, 450-455, 157, 142, 242, 248, 346.

Leroy, 242, 556.

Leslic,42, 455, 475,284.

Lexell,487, 188,256,528.

Lhospital, 69, 82, 104, 112, 127, 170, 471,

Lhuilier, 237, 284, 328.

Libri, 68, 417, 418, 432, 452, 465, 490, 492,

Livet, 570.

Lomazzo, 551.

Lorenzini , 93.

Lucas di Borgo. [Voir Pacioli).

Lucrèce, 457.

LudoIphVan Ceulen, 292, 452, 455, 445, 538. Lunis (Guillaume de), 524.

Mac Cullagh, 108.

Mac-Uurin, 46, 57, 101, 124, 442, 445,

Macrobe , 461 .

Magini, 55.

Magnus,257, 259.

Mahomet fiagdadin, 497.

Mahomet ben Husein , 550.

Malfatti,528.

Malebranche, 557.

Malus, 407, 555.

Mamoun(Al.), 489, 491.

Margarila philosophica, 289, 422, 435, 454,

Marinoni, 446.

Marinus , 49.

Mascheroni, 214.

Maternus (Julius Firmicus), 458.

Mauduit, 127.

Maurice, 102.

Maurolycus, 420, 294, 295, 545, 496, 516.

Memmius, 558.

Mendoza, 544.

Menechme, 6, 49.

Menelaus, 25, 26, 255, 294, 489,

Mentelius, 514.

Mercator, 95.

Mersenne, 71, 75, 79, 84, 86, 89, 404, 283,

Metius (Pierre), 55.

Mcusnier, 301.

MiJichius, 489.

Millon, 334.

Milnes, 170.

inding, 555.

ôbius, 215.

ohammed bcn Musa , 432, 434, 452, 455,

ongc, 33, 56, 66, 87, H7, 124, 125, 139,

ootesquicu, 94.

Montfaucon, 463.

Monlucla, 29, 44, 91, 104, 128, 130, 272,

Morsianus, 466.

Morton, 390.

Murdoch, 146. Murhard, 128, 445,479.

Musa ben Schakcr, 432, 489, 517.

Mydorge, 88, 91, 216.

JP^assir-Eddin , de Thous^ 284, 501.

XSaudë, 432.

reil,64, 101.

[eper, 55, 282, 534.

^P^estor (Dionysius), 558.

r^ewlon, 7, 10, 22, 38, 53, 59, 69, 76, 80, 81, 90, 91, 101, 102, 104, 135, 142, 143, 1U.146, 154, 155, 157-162, 167, 169,

Niccfron, 85, 445.

Nicolas, 69, 93,216.

Nicole, 146, 151.

Nicomaque, 462, 516, 534, 557.

Nicomède, 7, 23, 410.

Nonius, 99, 140.

Olivier, 33, 356.

OttaÎDO, 44, 328.

Oronce Fincc, 291, 433, 446, 466, 534.

Ozanam, 44, 68, 86, 346.

l'acioli (Lucas di Borgo), 423, 433, 434,

512,513,520,533,539. Pagani, 272.

Paolo di Digomari, surnommé Paolo deir

Abbaco, 473, 524.

Pappus, 7, 12, 14, 17, 26, 28-46, 57, 59,

Paracelse, 479.

Parent, 138, 242.

Pascal^ 31, 34, 48, 63, 68-74, 76, 78, 81, 88,

Peccam, 518.

Pclctier, 479, 489, 491, 512, 539.

Pcllos, 473, 534.

Pemberton, 155.

Pcrier, 70.

Perse, 472.

Pcrseus, 8, 271.

Pëlitol,217.

Peucer, 422.

Peverone, 460, 534.

Peyrard, 17, 21,48.

Pcz (B.), S05, 506, 508.

PhilondeTyane,7, 29.

Pithou, 507.

Pitiscus, 55.

Pitot,139.

Planude, 464, 469.

Platon, 5, 7, 290, Ai\, 426, 454, 463, 514.

Platon de Tivoli, 5iO.

Pline, 457.

Playfair, 284.

Plucker, 24 5, 288.

Plutarque, 472, 514.

Poinsot, 48, i12, 252, 253, 415,416,478,

Poisson, 62, 66, 166, 356, 556.

Polybc, 472.

Poncelct, 34, 37, 70, 74, 83» 88, 90, 134.

Porta, 246.

Pozzo, 136.

Prœtorius, 432, U4, 445. 446.

Proclus, 8, 9, 12, 24, 31, 48, 89, 272, 274»

276, 426, 463, 497, 51 4« Prosdocimo, 509, 524.

Ptolémëe, 25, 26, 27, 235, 291, 431, 489,

Purbach, 291, 446, 452, 515, 526, 559.

Pytbagore, 4, 290, 426, 454, 465, 487, 472,

Quetelet, 91, 105, 106, 107, 115, 162, 215, 218, 220, 238, 248, 267, 272, 286, 350, 352, 386, 390, 398, 411.

Rabuel,i40.

Radulfus Laudonensis, 508.

Ramus, 272, 433, 479, 483, 486, 514, 517,

RegiomonUnus, 291, 444, 447, 489, 495,

Reisch. (Voir Margarita philosophica.) Renaldini, 283.

Ricei (Micbel Ange) , 93.

Ricber, 534.

Rigault (N.), 459.

Risen (Adam) , 540.

Robertson, 517.

Roberval, 57, 58-64, 69, 90, 92, 94, 96, 104,

Rocbat, 329.

Rodolphe de Bruges, 510, 514* Roemer, 86, 161.

Roger Bacon, 511, 517, 519.

Romanus (Adrianus), 53, 443, 538.

Rosen , 452, 490.

Rudolff (Christopbe), 540.

Sacro Bosco, 464, 466, 511, 515, 518, 519.

Saladini, 513.

Sauveur, 243.

Saville, 273, 283.

Savosarda, 432, 510, 517.

Scaliger (J.) , 443, 446.

Scheubel, 489.

Schoner (J.), 291, 466, 471, 528.

Schooten, 93, 98, 126, 472, 244,283^292,

Scbroter, 466.

Schubert, 1 39, 293.

Scorza, 46.

Sëdillot,496.

Sédillot (L. Am.), 493, 494, 49«, 498» 499. Sénèque, 457.

Serenus, 47.

Sereous (Ch.), 356.

Senrois, 83, 98, 213, 329, 371, 453.

S'Gravesande, 346.

Simon de Bredoa, 293.

Simpson (Th.), 53, 75, 495.

Simson (R.), 13, 34, 37, 41, 42, 43, 67, 68,

Sirigati, 136, 348.

Sluze, 68, 93, 99, 127, 498.

SneUius , 42, 65, 1 40, 224, 292, 432, 433.

Sorlin, 237.

Sporus, 7.

Steiner, 206, 215, 239, 288, 390, 401.

Slevin, 89, 91, 98, 135, 140, 216, 292, 346,

Stewart (M.), 42, 143, 154. 169, 173-185,

Stifel, 291, 486, 489, 538, 539.

Stirling, 145, 151.

Strachey, 418, 419.

Sturm, 83, 316,341,350.

Targioni, 510.

Tartak», 215, 289, 423, 431, 433, 434, 448, 489, 491, 492, 520, 533, 536, 538, 539. Taylor,346,418,420.

Terquem,419.

Tiraboschi, 511.

Thaïes, 4.

Thebit ben Corah, 493, 496, 520.

Tbëodose, 25, 235, 489, 510.

Thëon, 5. 534, 557.

Theudius de Magnésie, 9.

Thœtète, 9.

Torricelli , 69, 93.

Tschirnhausen , 106, 110-114, 553.

Ubaldi(Guido),89, 98.

Valla (G.), 434, 460.

Vallée, 242, 356.

Van Heuraet, 64, 101 .

Van Rees, 218,286.

Varignon,357,412, 545.

Vairon, 457.

Velaer, 559.

Venturi, 431, 498, 517, 531, 543.

Verhalst, 105.

Verner, 190, 532. 533.

VIctorius, 508.

Viète, 5, 52-55, 65, 74, 282, 417, 442, 443, 493, 494, 538, 541, 542.

Vignier, 507.

Vignole, 136,348.

Villedieu (Alexandre), 515, 519.

Villoison, 474, 505.

Vincent de Beauvais, 289, 423, 464, 465,

Vinci (Léonard de), 410, 529, 530-532.

Virgile, 457.

Vitellion,498.511,518.

Vitruve, 457.

Viviani,7, 93, 141,512, 514.

Vossius (Gérard- Jean), 272, 510, 514,

Vossius (Isaac), 464, 474.

Wallacc, 284.

Wallis, 68, 69, 99, iOi, iÔ9, 122, 426, 441,

Ward (J.), 474.

Waring, 453,218.

Wcidler, 346, 467, 474, 544, 528.

WItt (Jean de), 100, 426, 459, 266.

Wolf, 428.

Wren.56, 69, 93, 109,242.

Wright, 440.

Wronski, 284.

Zamberti, 423, 479, 542.

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