Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página xi
... 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.
... 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 xii
With Numerous Examples Charles Taylor. CONES CHAPTER XI . Page 161 CHAPTER XII . MISCELLANEOUS PROPOSITIONS 171 The middle points of the diagonals of a Complete Quadrilateral lie on the same straight line 176 • CHAPTER XIII . ANHARMONIC ...
With Numerous Examples Charles Taylor. CONES CHAPTER XI . Page 161 CHAPTER XII . MISCELLANEOUS PROPOSITIONS 171 The middle points of the diagonals of a Complete Quadrilateral lie on the same straight line 176 • CHAPTER XIII . ANHARMONIC ...
Página 160
... the curve which passes through the point . 25. The radius of curvature at any point P of a rect- angular hyperbola is to CP in the duplicate ratio of CP to CA. CHAPTER XI . CONES . From the centre of a 160 EXAMPLES .
... the curve which passes through the point . 25. The radius of curvature at any point P of a rect- angular hyperbola is to CP in the duplicate ratio of CP to CA. CHAPTER XI . CONES . From the centre of a 160 EXAMPLES .
Página 161
... Cone , or simply a Cone . The point O is called the Vertex , and the line in which it is taken is called the Axis . Any straight line passing through the vertex and lying upon the surface of the cone is said to be a Generating Line . If ...
... Cone , or simply a Cone . The point O is called the Vertex , and the line in which it is taken is called the Axis . Any straight line passing through the vertex and lying upon the surface of the cone is said to be a Generating Line . If ...
Página 162
... cone , and will , in general , be a Parabola , an Ellipse , or a Hyperbola . In the following figure one - half only of the section is represented . PROP . I. To determine the nature of any given section of a right circular cone . Let ...
... cone , and will , in general , be a Parabola , an Ellipse , or a Hyperbola . In the following figure one - half only of the section is represented . PROP . I. To determine the nature of any given section of a right circular cone . Let ...
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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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