A Course of Pure GeometryCUP Archive |
Contenido
CHAPTER | 1 |
Medians | 8 |
Poles and polars 13 34422 | 15 |
Common tangents of two circles | 22 |
CHAPTER III | 28 |
Isogonal conjugates | 36 |
Projection of angles into angles of given magnitude | 42 |
Twentyfour crossratios reducible to | 47 |
Equiconjugate diameters | 156 |
THE HYPERBOLA | 163 |
Director circle | 169 |
Circle of curvature | 187 |
Perpendicular diameters | 193 |
CHAPTER XV | 201 |
CHAPTER XVI | 210 |
Involution range on a conic | 216 |
Projective properties | 92 |
Parallel chords | 95 |
Diameters and ordinates | 106 |
The Normal | 113 |
Circle of curvature | 120 |
CHAPTER XI | 126 |
Parabola escribed to a triangle | 132 |
Circle of curvature | 138 |
CHAPTER XII | 144 |
Pair of tangents | 150 |
Involution properties of quadrangle and quadrilateral | 224 |
Reciprocation applied to conics | 228 |
Coaxal circles reciprocated into confocal conics | 234 |
CHAPTER XVIII | 242 |
Two triangles circumscribing a conic | 248 |
CHAPTER XIX | 256 |
Feuerbachs theorem | 262 |
Figures directly similar but not homothetic | 270 |
MISCELLANEOUS EXAMPLES | 276 |
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Términos y frases comunes
A₁ ABCD AC² asymptotes B₁ BC² bisectors bisects C₁ CA² called centre of similitude circle of curvature circular points circumcentre circumcircle coaxal circles common tangent concurrent concurrent lines conjugate diameters conjugate hyperbola conjugate lines constant coplanar corresponding points cross-ratio diagonals directrix property double lines drawn ellipse equal fixed point focal chord foci focus and directrix four points given circles harmonic conjugates inverse points involution pencil isogonal conjugates latus rectum line at infinity line joining locus meets the curve middle point nine-points circle opposite sides ordinate orthocentre pair of conjugate pairs of points parabola passes perpendicular perspective plane point of intersection points of contact polar pole Prop proposition Prove quadrilateral radical axis radius ratio reciprocal rectangular hyperbola respectively right angles shew straight line symmedian symmedian point tangents transverse triangle ABC vanishing line vertex vertices