Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página vii
... Corresponding Points , the results of Orthogonal Projection are obtained by a method not in- volving solid geometry . The connection between these methods is shown at the end of Chapter XV . In Chapter XIII . , the fundamental ...
... Corresponding Points , the results of Orthogonal Projection are obtained by a method not in- volving solid geometry . The connection between these methods is shown at the end of Chapter XV . In Chapter XIII . , the fundamental ...
Página xi
... in Q and the asymptotes in R , r , then RQ.QrCD2 129 CHAPTER VIII . THE RECTANGULAR HYPERBOLA • CHAPTER IX . CORRESPONDING POINTS CURVATURE CHAPTER X. 136 • 143 152 CONES CHAPTER XI . Page 161 CHAPTER XII . MISCELLANEOUS CONTENTS . xi.
... in Q and the asymptotes in R , r , then RQ.QrCD2 129 CHAPTER VIII . THE RECTANGULAR HYPERBOLA • CHAPTER IX . CORRESPONDING POINTS CURVATURE CHAPTER X. 136 • 143 152 CONES CHAPTER XI . Page 161 CHAPTER XII . MISCELLANEOUS CONTENTS . xi.
Página 3
... is a point on the curve . Thus any number of points on the curve may be deter- mined corresponding to the various positions of N. 2. The axis divides the curve into two equal and B 2 ( 3 ) TRACING THE CURVE CONTENTS CHAPTER.
... is a point on the curve . Thus any number of points on the curve may be deter- mined corresponding to the various positions of N. 2. The axis divides the curve into two equal and B 2 ( 3 ) TRACING THE CURVE CONTENTS CHAPTER.
Página 4
... corresponding to any point P at a perpendicular distance PN from the axis , there is a point P ' on the other side of the axis and at an equal distance P'N from it . 3. If the point N be taken so as to coincide with A , then SP becomes ...
... corresponding to any point P at a perpendicular distance PN from the axis , there is a point P ' on the other side of the axis and at an equal distance P'N from it . 3. If the point N be taken so as to coincide with A , then SP becomes ...
Página 17
... corresponding to any point Q , on the curve , at a per- pendicular distance QO from CO , there is another point situated upon the opposite side of CO and at an equal dis- tance PO from it . Hence CO divides the curve into two equal and ...
... corresponding to any point Q , on the curve , at a per- pendicular distance QO from CO , there is another point situated upon the opposite side of CO and at an equal dis- tance PO from it . Hence CO divides the curve into two equal and ...
Otras ediciones - Ver todo
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Vista previa restringida - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Vista previa restringida - 2022 |
Términos y frases comunes
ABCD abscissa Alternando asymptotes auxiliary circle axis in G bisects the angle CA² Cambridge CB² CD² centre chord of contact chord of curvature chord PQ chords parallel cone Conic Sections conjugate diameters conjugate hyperbola constant ratio corresponding CP² Crown 8vo Draw drawn parallel ellipse equally inclined fixed point fixed straight line focal chord foci focus harmonic Hence inscribed latus rectum Lemma Let the tangent locus major axis meet the axis meet the directrix meet the minor meets the curve middle point minor axis opposite sides ordinate parabola parallel chords parallelogram pass pencil perpendicular plane point of intersection point Q points of contact polar produced projection Prop prove quadrilateral rectangular hyperbola right angles semi-diameter semi-latus rectum similar triangles Similarly straight line drawn touches vertex
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