‹ Aperçu historique sur l'origine et le développment des méthodes en géométrie, particulièrement de celles qui se rapportent à la geométrie moderne, suivi d'un mémoire de géométrie sur deux principes généraux de la science, la dualité et l'homographieChapitre 53 sur 95 · L'APERÇU HISTORIQUE · texte numérisé non relu

L'APERÇU HISTORIQUE

Aboiil Wcfa, 495, 526.

Aboul Hhassan Ali, 496.

Abraham Abenezrœ, 492.

Adalbolde, 507.

Adhelard, 509. Aguilon, 516.

Ahmed ben Ghalil, 550.

Albalcgnius, 494, 526.

Albfirt-le-Grand, 511, 517.

Albiimazar, 510.

Alkindus, 492, 496.

Alcuin, 450, 504." Alfarabius, 510, 518.

Alfraganus, 510.

Alhazen, 498, 509.

Almansor, 489.

Alsiedius, 425, 478.

Ampère, 105, 220, 590,415.

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

Andrcs, 505,504, 511.

Angelis, 95.

Apian (P.), 445.

Apollonius, 7, 9, 15, 17-23, 38,41, 42, 46, 80,89, 116, 119,121,124, 210,285, 514, 325, 331, 476, 489, 500. 513, 514, 518,

Apulée, 503.

Arago, 208, 356.

Archimède, 15-17, 21-23, 48, 56, 59, 77, 90, H 6, 162, 165, 210, 273, 358, 428, 475, 476, 489, 514, 515, 523, 546,

Archytas, 6, 427, 434, 463.

Argyrus, 525.

Aristéc, 7,21,46,89, 513,514.

Aristole, 22, 59, 288, 5i4.

Augustin (Sainl), 461, 462.

Auvcr (Christophe), 540.

Bachct de Mëziriac, 285, 418, 427, 445.

Bacon (Roger), 464.

Bailly, 58, 456, 482.

Baillct, 86.

Barbaro (Daniel), 481.

Barlaam, 525.

Barocci, 454.

Barrow, 109, 142, 498.

Bayer, 474.

Bayle, 550.

Beaugrand, 77, 78, 292, 551, 555.

Bède, 450, 465, 472, 502, 505, 505, 506.

Bernard (Éd ), 474, 520, 525, 524.

Bernardin Baldi, 272, 514, 520, 521, 524,

Bernelin, 507.

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

Bernoulli (Jean), 69, 97, 141, 216, 258, 292,

Benedictis (J.-B.), 215, 445, 558, 540.

Basson, 282.

Bessarion, 526.

Beughem, 128.

Bhascara Acharya, 418, 419, 420, 425, 426,

Biagio de Parme, 524.

Billy (De), 445, 515.

Binet, 66, 220, 244, 590,415.

Biot, 105.

Blancanus, 275.

Blanchinus, 527, 540.

Bobillier, 252, 590, 599, 401.

Boèce, 289, 425, 427, 457, 458, 459, 461,

Borelli, 7.

Boscovich, 455.

Bosse, 76, 78, 85, 85, 86,87,217, 292, 535,

Bossut, 71, 151,238.

Bouillaud, 16, 283.

Bouvelles, 480, 486.

Bradwardin, 512, 521, 525.

Brahé, 485.

Bragelongne, 151.

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

Braikenridge, 57, 101, 151, 159, 556, 405 Bressius, 292.

Brewster, 105. Breysig, 217.

Brianehon, 54, 78, 83, 98, 191, 214, 293,

Broscius, 486-487.

Bruno, 46.

BuflFon, 65.

Buhae-oodd-deen, 492.

Burja, 159.

Butéon, 447-559.

Byrge, 485.

Calniet (D.), 474.

Caraerer, 55.

Campanus, 425, 478, 479, 508, 511-514,

Capella (Marlianus), 458, 461, 462, 472. Caravage, 295.

Cardan, 214, 291, 455, 442, 489, 491, 492, 520, 527, 555, 538, 559, 540, 555.

Carnot, 72, 117, 124, 184, 210-213, 216, 258,293,528,342,570,501.

Casiri, 292, 452, 490, 492, 495.

Cassini, 56.

Cassiodoie, 289, 423, 401, 402, 525.

Caslillon, 284, 528, 500.

Cavalieri, 22, 55, 57, 01, 08, 90,91,94, 100,

César (J.), 457, 403.

Ccva (J.), 93, 210, 258, 292, 293, 294, 554. Chamber, 523.

Charlemagne, 504.

Chalurveda, 421, 423, 428, 437, 440, 449. Choquet, 340.

Cicéron, 457, 409.

Clairaut, 09, 138, 141, 140, 107, 532, 555. Clairaut(J'), 138.

Clavius, 443, 479, 497, 512, 515, 538.

Clichlovëe, 400, 475.

olebrooke, 418, 419, 420, 422, 405, 490.

Colonia, 334.

Columelle, 458,459, 400.

Comiers, 512.

Commandin, 30, 41, 497, 520, 538.

Comte, 284, 415.

Copernic, 402, 495, 529.

Coriolis, 554.

Cossali, 524.

Cotes, 144, 146.

Courcier, 141, 238.

Cousinery, 137, 190, 208.

Cramer, 152, 328.

Crelle, 200, 215.

Ctésibius, 543.

Curabelle, 80, 87, 330, 331, 352.

Cusa (i\ieoIas de), 481, 523, 529.

D'Alembert, 63, 104, 168, 238, 241, 289,

Dandclin, 215, 220, 250, 280, 287.

Dante (Egnazio), 348.

Dasypodius, 271, 273, 474, 553.

Daunou, 40i.

Dawson, 74.

De Beaune, 96, 110.

De Challes, 272, 433.

Dée, 497.

De Gua, 152.

Delambre, 24, 27, 419, 451, 405, 470, 470,

De la Rue, 355, 555.

Delorme (Philibert), 555.

Démctrius, 29.

Deraonfcrrand, 390.

De Murr, 527.

Deran, 355.

Desargues, 54, 39, 47, 07, 72, 75, 74-88, 90,

Descartes, 22, 28, 28, 37, 52, 53, 57, 58, 00, 05, 08,71, 75, 70, 81, 80, 91, 94-97, 104, 11,113, 110, 140,143,101,236,257,277, 288, 350,350,417,482,548.

De Stainville, 571.

D'Herbelot, 488, 491.

Dinostrate, 7, 50.

Dioclès, 7,48,411, 533.

Dion Cassius, 481.

Dionis du Séjour, 152.

Dionysidore, 533.

Diophanle, 11, 99, 282, 442, 489, 490, 557.

Doppelmayer, 440.

Dumolinet, 559.

Du pin (Ch), 03, 108, 215, 214, 220, 245, 244, 550, 580, 590.

Durrande, 238.

Durer (Albert), 155, 216, 529, 533.

Eiscnman, 284.

Encontre, 571.

Eralosthcnc, 7,21, 4G.

Errard, 445.

Euclide, 9-14, 16, 21, 57, 39, 46, 67, 116,

Eudoxc, 6, 9.

Euler, 45, 53, 66, 152, 153, 175, 214, 241,

301, 305, 328, 412, 418, 432, 455, 486. Eutocius, 49, 422, 545.

Fabrc d'ÉlapIes, 464, 516, 524.

Fabri, 69.

Fabriciiis, 510, 514, 520, 545.

Fatio de Duiller, 112.

Faucher, 357.

Fergola, 46, 66.

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

Fibonacci (Léonard de Fisc), 432, 435, 454,

Flamsteod, 56.

Flaiili, 30, 46, 66, 293.

Fontenclle, 269.

Fourier, 65.

Français, 67.

Franchini, 491, 514.

Fresnel, 105.

Frezier, 141, 335, 355.

Frischiin, 290.

Frlsius (Gemma), 291, 466.

Frontinus, 451, 457, 458, 459.

Fuss, 53, 455, 188, 256, 295, 528, 452.

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

Ganesa, 422, 440, 447, 534.

Garbinski, 51.

Gaultier, 65, 206, 207.

Gauricus, 514.

Gauss, 215 Geber, 485, 489.

Gellibrand, 55.

Gerainus, 8, 20, 24.

Gérard de Crémone, 509, 519.

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

Gergonne, 85, 107, 115, 191, 215, 258, 255,

Gesner(C.), 517, 544.

Ghetaldi (Marin), 42, 285.

Giannini, 42.

Girard (Albert), 285, 440, 546.

Goens (W.), 459.

Golius, 500.

Goudin, 152.

Goujet, 504.

Grandi (Guido), 31, 95, 102, 141.

Greaves, 467.

Grégoire de Nazianze, 543.

Grégoire de Saint- Vincent, 90-93, 94, 126,

Grégory, 95.

Guarini, 120, 345.

TABLK DES AUTËCKS.

Gudcrmann, 231).

Gucncuu d'Auinonl, 238.

Guillaume de Malmcsbury, 463, 504.

Guisnc'c, 127.

Guldin, 2y, 57, UO.

Ilacheltc, 214, 217, 241, 248, 284, 550, 547.

Iliieiicl, 445, 457.

Ilagcr, 559.

llalbcr, 508.

llalley, 12, 20, 41, 47, 5G, 125, 140, 155,

Ilamet bcn Musa, 432, 434, 489, 492.

Ilamillon, 108, 286.

liascn bon Musa, 452, 454, 489, 492.

Hassan ben Ilaiihem, 498-501, 527.

Ilcilbroniier, 272, 445, 468, 514, 521, 528,

Heni'ion, 460.

llcrigcr, 507.

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

HcnnaiHi Contraclus, 508.

Horinoiinic de Colopbon, 9.

Héron d'Alexandrie, 7, 271, 431, 433,434,

llcron-le- Jeune, 431, 434, 544.

Uerschel, 105, 162, 240.

Hipparque, 24, 235, 293.

llippias, 8.

Hippocrate de Chio, 5, 9.

Horace, 457, Hudde, 99.

Huct, 467, 474.

Hugo de Oinériquc, 42.

Humboldt, 558, 559.

Ilurct (Grégoire), 79, 331.

Hullon, 419. Huygens, 69, 91,93, 101-109, 110, 127, 142,

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

Ibn Yoùnis, 495, 526.

Isidore-le-Grand, 514.

Isidore de Millet, 49.

Isidore de Séville, 458, 461, 462, 525. Ivory, 163,394,596.

Jacob (Simon), 44, 445.

Jacobi, 166,215.

Jacquier, 82, 145, 546.

Jamblique, 557.

Jean de Séville {Johannes llispalensis), 510, 519, 533.

Jcaurat, 346.

Jordan Nemorarius, 433, 434, 464, 492, 511,

Jourdain, 509.

Jousse (.Mathurin), 355.

Kiistncr, 479.

Kepler, 7, 22, 52, 56, 61, 90, 104, 157, 210, ii88, 252, 479, 482-485, 489, 493, 508, 514.

Killingword, 523.

Kircher, 283, 478, 481.

Lacroix, iO, 234-, 356, 358.

Lagny, 334.

Lagrange, 56, 61, 63, 112, 153, 163, 165,

168, 169, 188, 252, 267, 328, 412, 486. La Hirc, 19, 48, 69, 87, 88, 90, M 8-1 30,

Lalande, 346, 514.

Laloubère, 69, 93, 140.

Laloubère (Simon), 559.

Lambert, 55, 86, 143, 153, 154, 169, 185-

Lamé, 247.

Landen, 174.

Laplace, 63, 234.

Lawson, 284.

Lefébure de Fourcy, 356.

Lefrançois, 218,219.

Legendre, 165, 168, 237, 393, 446, 556. Leibniz, 22, 62, 69, 70, 76,86, 91,97, 110,

Lejeune-Dirichlet, 215.

Léon, 9.

Léonard de Pise. {Vuir Fibonacci.)

Léonard de Vinci. (Voir Vinci.)

Léotaud, 93.

Le Poivre, 130-135, 137, 142, 212, 218, 346.

Leroy, 242, 356.

Leslie, 42, 135, 175, 284.

Lexell, 187, 188, 236, 328.

Lhospiial, 69, 82, 104, 112, 127, 170, 171,

Lhuilier, 237, 284, 328.

Libri, 68, 417, 418, 432, 452, 463, 490, 492,

Livet, 370.

Lomazzo, 531.

Lorenzini, 93.

Lucas di Borgo. {Voir Pacioli).

Lucrèce, 457.

Ludolph Van Cculen,292, 432, 433,445,538, Lunis (Guillaume de), 524.

Mac Cullagh, 108.

Mac-Laurin, 16, 37, 101, 124, 142, 143,

Macrobe, 461.

Magini, 55.

Magnus, 237, 239.

Mahomet Bagdadin, 497.

Mahomet ben Husein, 550.

Malfatti, 328.

Malebranche, 357.

Malus, 107, 355.

Mamoun (AL), 489, 491.

Margarila philosophica, 289, 422, 433, 434,

Marinoni, 446.

Marin us, 49.

Mascheroni, 214.

Maternus (Julius Firniicus), 458.

Mauduit, 127.

Maurice, 102.

Maurolycus, 120, 291, 293, 345, 496, 516.

Memmius, 538.

Mendoza, 544.

Menechme, 6, 49.

Menelaus, 25, 26, 235, 291, 489.

Mentelius, 514.

Mercator, 93.

Mersenne, 71, 73, 79, 81, 86, 89, 104, 281

Metius (Pierre), 55, Meusnier, 301.

Milichius, 489.

Millon, 33i.

Milncs, 170.

Wiiuling, 555.

Mobius, î215.

Mohammed bcn Musa, 43*2, 43i^, 452, 435,

Mongc, 32, 56, 66, 87, 117, 124, 125, 139,

Montesquieu, 9i.

Monlfaucon, 463.

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

Morsianus, 466.

Morlon, 390.

Murtloeli, 146.

Murhard, 128,445, 479.

Musa bon Schaker, 432, 489, 517.

Mydorge, 88, 91, 216.

Nassir-Eddin, de Thou?, 284, 501.

Naudé, 432.

Neil, 6i, 101.

Nepcr, 55, 282, 534.

Nestor (Dionysius), 558.

Newton, 7, 10, 22, 38, 53, 59, 69, 76, 80, 81, 90, 91, 101, 102, 104, 135, 142, 143, 144-1/. 6, 154, 155, 157-162, 167, 109,

Nieéron, 85, 445.

Nicolas, 69,93, 216.

Nicole, 146, 151.

Nicomaque, 462, 516, 534, 557.

Nieomède, 7, 23, 410.

Nonius, 99, 140.

Olivier, 33, 336.

Oltaïno, 44, 328.

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

Ozanam, 44, 68, 86, 346.

Pacioli (Lucas di Borgo), 423, 433, 434,

Pagani, 272.

Paolo di Digomari, surnomme Paolo dell'

Abbaco, 473, 524.

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

Paracelsc, 479.

Parent, 138,242.

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

Peccam. 518.

Peletier, 479, 489. 491, 512, 559.

Pellos, 473, 534.

Pembcrton, 155.

Pcricr, 70.

Perse, 472.

Pcrseus, 8, 271.

Pétitot, 217.

Peucer, 422.

Pevcrone, 400, 334

Peyrard, 17, 21, 48.

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

Philon de Tyanc, 7, 29.

Pilhou, 507.

Pitiscus, 55.

Pitot, 159.

Planudc, 464,469

Platon, 5, 7, 290, A\ !, 426, 434, 463, 514.

Platon de Tivoli, 510.

Plino, 457. •

Playfair, 284.

Plucker, 215, 288.

Plutarque, 472, 514.

Poinsot, 48, M 2, 252, 253, 415, 416, 478,

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

Polybc, 472.

Poncclct, 34, 37, 70, 74, 83, 88, 90, 134, 136, 147, 158, 191, 199, 215, 218, 219, 223, 232, 243, 248, 250, 258, 264, 284, 288, 293, 305, 310, 314, 329, 342, 408, 5i7.

Porta, 216.

Pozzo, 136.

Prœtorius, 432, 444, 445, 446.

Pi'ocius, 8, 9, 12, 24, 31, 48, 89, 272, 274, 276, 426, 463, 497, 514.

Prosdocimo, 509, 524,

Ptolcmce, 25, 26, 27, 2-35, 291, 451,489, 494, 498, 509,515, 516.

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

Pythagore, 4, 290, 426, 434, 463, 467, 472, 478, 508,514, 529, 558.

Quetelct, 91, 105, 106, 107, 115, 162,215, 218, 220, 238, 248. 267, 272, 286, 350, 552, .586, 590, 398, 411.

RabucJ, 140.

Radulfus Lauduncnsis, 508.

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

Rcgiomontanus, 291, 444, 447, 489, 495,

Rcisch. (Voir Margarila philosopliica.) Renaldini, 285.

Ricci (Michel Ange), 95.

Richcr, 534.

Rigault (N.), 459.

Risen (Adam), 540.

Roberlson, 517.

Robcrval, 57, 58-61, 09, 90, 92, 94, 96, 104,

Rochat, 329.

Rodolphe de Bruges, 510, 511.

Roemcr, 86, 161.

Roger Bacon, 511,517, 519.

Romanus (Adi-ianus), 53, 445, 538.

Rosen,452, 490. Rudolf! (Christophe), 540.

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

Saladini, 513.

Sauveur, 243.

Savillc, 273, 283

Savosarda, 432,510, 517.

Scaliger (J.), 443, 446.

Scheubcl, 489.

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

Sehooten, 93, 98, 126, 172, 214, 283, 292,

Schrotcr, 466.

Schubert, 139, 293.

Scorza, 46.

Scdillot, 496.

Scdillot (L. Am.), 493, 494, 496, 498, 499. Sdnèque, 457.

Sercnus, 47

Sercnus (Ch.), 356.

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

S'Gravcsande, 54G.

Simon de Bredori, 295.

Simpson (Th.), 53, 7o, 495.

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

Sirigali, 156, 3i8.

Sluzc, 68, 93, 99, 127,498.

Sncllius, 42, 55, 140, 224, 292, 432, 433.

Sorlin, 237.

Spoi'us, 7.

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

Slcvin, 89. 91, 98, 133, 140, 216, 292, 346,

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

Stifd, 291, 486, 489, 538, 559.

Stirling, 145, 151.

Strachcy, 418,419.

Slurm,85, 316, 341,350.

Targioni, 510.

Tartalca, 215, 289, 423, 431, 433, 454, 418,

489, 491, 492, 520, 533, 536, 538, 559. Taylor, 546,418,420.

Tciqucm, 419.

Tiraboschi, 511.

Thaïes, 4.

Thebit bcn Corah, 493, 496, 520. Théodosc, 25, 255, 489, 310.

Théon, 5, 534, 557.

Theudius de Magnésie, 9.

Thœtcte, 9.

Torricelli, 69, 93.

Tschirnhausen, 100, 110-114, 553.

Ubaldi (Guido), 89, 98.

Valla (G.), 454, 460.

Vallée, 242, 356.

Van Hcnraet, 64, 101.

Van Rees, 218, 286.

Varignon, 557, 412, 545.

Varron, 457.

Vclscr, 559.

Venluri, 451, 498, 517, 531, 545.

Verhulst, 105.

Vcrncr, 120, 532, 535.

Victorius, 508.

Vièlc, 5, 52-55, 65, 74, 282, 417, 442, 443, /i93, 494, 538,541,542.

Vignicr, 507.

Vignole, 136, 348.

Villcdieu (Alexandre), 515, 519.

Villoison, 474, 505.

Vincent de Beauvais, 289, 425, 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, 101, 409, 122, 126, Uï,

Ward (J.), 474.

Waring, 153, 218.

Weidiep, 346, 467, 474, 514, 428.

Wilt (Jean de), 100, 126, 159, 266.

Wolf, 128.

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

Wright, 140.

Wronski, 284.

Zamberti, 423, 479, 512.

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