INDEX
(The numbers refer to the paragraphs)
Abel (1802-1829), [179]
Analogy, [24]
Analytic geometry, [21], [118], [119], 120, [146], [176], [180]
Anharmonic ratio, [46], [161], [184], [185]
Apollonius (second half of third century B.C.), [70]
Archimedes (287-212 B.C.), [176]
Aristotle (384-322 B.C.), [169]
Asymptotes, [111], [113], [114], [115], 116, [117], [118], [148]
Axes of a conic, [148]
Axial pencil, [7], [8], [23], [50], [54]
Axis of perspectivity, [8], [47]
Bacon (1561-1626), [162]
Brianchon (1785-1864), [84], [85], [86], 88, [89], [90], [95], [105], [113], [174], [184]
Calculus, [176]
Carnot (1796-1832), [179]
Cauchy (1789-1857), [179], [181]
Cavalieri (1598-1647), [162]
Center of a conic, [107], [112], [148]
Center of involution, [141], [142]
Center of perspectivity, [8]
Central conic, [120]
Chasles (1793-1880), [168], [179], [180], 184
Circle, [21], [73], [80], [145], [146], [147]
Circular involution, [147], [149], [150], 151
Circular points, [146]
Class of a curve, [183]
Classification of conics, [110]
Collineation, [175]
Concentric pencils, [50]
Cone of the second order, [59]
Conjugate diameters, [114], [148]
Conjugate normal, [151]
Conjugate points and lines, [100], 109, [138], [139], [140]
Constants in an equation, [21]
Contingent relations, [180], [181]
Continuous correspondence, [9], [10], 21, [49]
Corresponding elements, [64]
Cross ratio, [46]
De Beaugrand, [170]
Degenerate pencil of rays of the second order, [58], [93]
Degenerate point-row of the second order, [56], [78]
De la Hire (1640-1718), [168], [171], 175
Desargues (1593-1662), [25], [26], [40], 121, [125], [162], [163], [164], [165], [166], 167, [168], [169], [170], [171], [174], [175]
Descartes (1596-1650), [162], [170], 171, [174], [176]
Descriptive geometry, [179]
Diameter, [107]
Directrix, [157], [158], [159], [160]
Double correspondence, [128], [130]
Double points of an involution, [124]
Double rays of an involution, [133], 134
Duality, [94], [104], [161], [180], [182]
Dupin (1784-1873), [174], [184]
Eccentricity of conic, [159]
Equation of conic, [118], [119], [120]
Euclid (ca. 300 B.C.), [6], [22], [104]
Euler (1707-1783), [166]
Fermat (1601-1665), [162], [171]
Foci of a conic, [152], [153], [154], [155], 156, [157], [158], [159], [160], [161], [162]
Fourier (1768-1830), [179]
Fourth harmonic, [29]
Fundamental form, [7], [16], [23], [36], 47, [60], [184]
Galileo (1564-1642), [162], [169], [170], 176
Gauss (1777-1855), [179]
Gergonne (1771-1859), [182], [184]
Greek geometry, [161]
Hachette (1769-1834), [179], [184]
Harmonic conjugates, [29], [30], [39]
Harmonic elements, [86], [49], [91], 163, [185]
Harmonic lines, [33], [34], [35], [66], [67]
Harmonic points, [29], [31], [32], [33], 34, [35], [36], [43], [71], [161]
Harmonic tangents to a conic, 91, [92]
Harvey (1578-1657), [169]
Huygens (1629-1695), [162]
Hyperbola, [110], [111], [113], [114], [115], 116, [117], [118], [162]
Imaginary elements, [146], [180], [181], 182, [185]
Infinitely distant elements, [6], [9], 22, [39], [40], [41], [104], [107], [110]
Infinity, [4], [5], [10], [12], [13], [14], [15], 17, [18], [19], [20], [21], [22], [41]
Involution, [37], [123], [124], [125], [126], 127, [128], [129], [130], [131], [132], [133], 134, [135], [136], [137], [138], [139], [140], 161, [163], [170]
Kepler (1571-1630), [162]
Lagrange (1736-1813), [176], [179]
Laplace (1749-1827), [179]
Legendre (1752-1833), [179]
Leibniz (1646-1716), [173]
Linear construction, [40], [41], [42]
Maclaurin (1698-1746), [177], [178]
Measurements, [23], [40], [41], [104]
Mersenne (1588-1648), [168], [171]
Metrical theorems, [40], [104], [106], 107, [141]
Möbius (1790-1868), [179]
Monge (1746-1818), [179], [180]
Napier (1550-1617), [162]
Newton (1642-1727), [177]
Numerical computations, [43], [44], 46
One-to-one correspondence, [1], [2], 3, [4], [5], [6], [7], [9], [10], [11], [24], [36], 87, [43], [60], [104], [106], [184]
Opposite sides of a hexagon, [70]
Opposite sides of a quadrilateral, 28, [29]
Order of a form, [7], [10], [11], [12], [13], 14, [15], [16], [17], [18], [19], [20], [21]
Pappus (fourth century A.D.), 161
Parabola, [110], [111], [112], [119], [162]
Parallel lines, [39], [41], [162]
Pascal (1623-1662), [69], [70], [74], [75], 76, [77], [78], [95], [105], [125], [162], 169, [171], [172], [173]
Pencil of planes of the second order, [59]
Pencil of rays, [6], [7], [8], [23]; of the second order, [57], [60], [79], [81]
Perspective position, [6], [8], [35], [37], 51, [53], [71]
Planes on space, [17]
Point of contact, [87], [88], [89], [90]
Point-row, [6], [7], [8], [9], [23]; of the second order, [55], [60], [61], [66], [67], [72]
Points in space, [18]
Pole and polar, [98], [99], [100], [101], 138, [164], [166]
Poncelet (1788-1867), [177], [179], 180, [181], [182], [183], [184]
Principal axis of a conic, [157]
Projection, [161]
Protective axial pencils, [59]
Projective correspondence, [9], [35], 36, [37], [47], [71], [92], [104]
Projective pencils, [53], [64], [68]
Projective point-rows, [51], [79]
Projective properties, [24]
Projective theorems, [40], [104]
Quadrangle, [26], [27], [28], [29]
Quadric cone, [59]
Quadrilateral, [88], [95], [96]
Roberval (1602-1675), [168]
Ruler construction, [40]
Scheiner, [169]
Self-corresponding elements, [47], 48, [49], [50], [51]
Self-dual, [105]
Self-polar triangle, [102]
Separation of elements in involution, 148
Separation of harmonic conjugates, 38
Sequence of points, [49]
Similarity, [106]
Skew lines, [12]
Sphere, [21]
Steiner (1796-1863), [129], [130], [131], 177, [179], [184]
Steiner's construction, [129], [130], 131
Superposed point-rows, [47], [48], [49]
Surfaces of the second degree, [166]
System of lines in space, [20], [23]
Systems of conics, [125]
Tangent line, [61], [80], [81], [87], [88], 89, [90], [91], [92]
Tycho Brahe (1546-1601), [162]
Verner, [161]
Von Staudt (1798-1867), [179], [185]
Wallis (1616-1703), [162]