Page 167 - 20 Euclides

Parménides 11, 29, 34, 41, 111 rectángulo 40,45,52, 64, 90,91, 96--103,
paso al línúte 134, 135, 137 116, 124, 127, 139
pirámide 46,107, 119, 125,127 regla 33,44,45,50, 71,99, 140
volumen de la 46
Pitágoras de Samos 8, 11 Saint Vmcent, Gregorius 140
Platón 8, 11, 15-17, 29, 31-33, 35, 37-39, segmento rectilíneo 10, 65, 82, 93
41-43, 50, 90, 102, 111, 118, 153, 158, súnil de la línea 37, 38
160 síntesis 7-9, 13, 16, 17, 32, 43, 53, 56, 59,
polígono regular 45, 4 7, 133-135, 139 82,101, 158
cuadrado 40, 45, 52, 58, 89-91, 96, Sófocles 160
98-100, 114-116, 118, 132, 133, 135, sólidos8, 104, 109, 112, 119, 120
138-140, 146,152,153 cubo o hexaedro 33, 47, 102
hexágono 45 dodecaedro 47, 102-104, 106
octógono 133,135, 138 icosaedro 47, 102--104, 106
pentadecágono 45 octaedro 47, 102
pentágono 45,53,54, 101, 104 platónicos 9, 17, 46,47,60, 102, 103
triángulo equilátero 45, 135 tetraedro 47,102,104
postulado 8,9, ll,27,33, 42-44,47, 49,50,
53-56, 58-61, 63--67, 69-71, 74-76, 81, 82, Tales de Mileto 8, 11
86,90,93, 112, 113, 117,126, 143, 148 tángram 5, 44, 60, 63, 87, 89, 90, 92-94, 96,
de Arquímedes 126 98( 100, 121,123,125,127,131, 132
de las paralelas 8, 11, 60, 61, 66, 67, Teeteto 9, 17, 29,33,46,47
69, 71, 74, 75,90,93 Teodoro de Cirene 9, 29, 32, 33, 46, 115
Proclo 7,9, 11, 15-17,20,29,30,32,39,48, teorema 17, 21, 22, 32, 33, 35, 40, 42-47, 53,
49,61,64,85 54,87,92, 96,97, 99, 114, 124, 131, 132,
proporción 5, 8, 11, 44, 45, 46, 95, 100, 103, 134, 148-150, 152,161
104,107, 109,118,124, 125, 150 de Pitágoras 40, 44, 45, 96, 99, 114,
pseudoesfera 77 131, 132, 152
Ptolomeo, Claudio 8, 9, 11, 15, 17, 30, 41, de Tales 8, 45, 134
49 teoría
Ptolomeo I, Sóter 15, 17 de la proporción 5, 8, 11, 44, 45, 107,
Ptolomeo II, Filadelfo 15 109, 124, 125
punto 10, 20, 22, 26, 39, 42-44, 50, 52-56, de tipos de Russell 162
58, 65-75, 77, 82, 84, 93, 99-104, 112, tractriz 77
116,122, 123,126, 140,161 triángulo 10, 19, 20, 24, 26, 40, 44, 45, 52-55,
58,59,64-68, 71, 73, 76, 79,80,84,90-
Rafael 23, 41 96,98, 99, 101, 103, 104, 109, 115,116,
Ratdolt, Erhard 44, 158, 159 121-124, 126,127, 132-135, 138, 139
razón 19,20, 22, 24,45,49,58,59, 77,82, criterios de igualdad 64, 96
84, 100-102, 106, 110, 113-120, 131, rectángulo 44,45,52,64,96,99, 115,
135,139, 144, 147 116, 124, 138, 139
áurea 100, 101 semejanza 124
recta 20,22,24,26,43,45,49-56,58,65-74, trivio 7
77, 78, 82--85,97, 107,109,116, 119,
122, 124,131, 137, 161 unidad 42,51, 79, 113-115, 119, 138, 143,
perpendicular 52, 68, 71,84,96, 104, 144,146, 150,153
119
rectas paralelas 52, 71-73, 83 Zenón 11, 29,34,41, 109-111, 117

ÍNDICE 167