Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página xii
... middle points of the diagonals of a Complete Quadrilateral lie on the same straight line 176 • CHAPTER XIII . ANHARMONIC RATIO 178 CHAPTER XIV . POLES AND POLARS 193 CHAPTER XV . PROJECTION 202 APPENDIX . ERRATA . Page 25 , Figure ...
... middle points of the diagonals of a Complete Quadrilateral lie on the same straight line 176 • CHAPTER XIII . ANHARMONIC RATIO 178 CHAPTER XIV . POLES AND POLARS 193 CHAPTER XV . PROJECTION 202 APPENDIX . ERRATA . Page 25 , Figure ...
Página 14
... middle point of the base PQ , and R a point in the base , such that SP : PR = SQ : QR , then OY : OR = SP2 : PR2 , Y being the foot of the perpendicular from S upon PQ . On SQ as diameter describe a circle , and let it cut SR in M. This ...
... middle point of the base PQ , and R a point in the base , such that SP : PR = SQ : QR , then OY : OR = SP2 : PR2 , Y being the foot of the perpendicular from S upon PQ . On SQ as diameter describe a circle , and let it cut SR in M. This ...
Página 15
... middle points of all parallel chords lie on a straight line , called a DIAMETER . Let O be the middle point of a chord PQ , which meets R Y R X the directrix in R. angles in Y , and let directrix . A S Draw SY , meeting the chord at ...
... middle points of all parallel chords lie on a straight line , called a DIAMETER . Let O be the middle point of a chord PQ , which meets R Y R X the directrix in R. angles in Y , and let directrix . A S Draw SY , meeting the chord at ...
Página 16
... point in which any diameter VO meets the curve is parallel to the chords which that diameter bisects . COR . 2. The following is a construction for the diameter bisecting a given chord . Join the middle point of the chord to the point ...
... point in which any diameter VO meets the curve is parallel to the chords which that diameter bisects . COR . 2. The following is a construction for the diameter bisecting a given chord . Join the middle point of the chord to the point ...
Página 17
With Numerous Examples Charles Taylor. PROP . XIV . The middle points of all chords parallel to the axis of a conic , which is not a parabola , lie on a straight line perpendicular to the axis . Let O be the middle point of a chord PQ ...
With Numerous Examples Charles Taylor. PROP . XIV . The middle points of all chords parallel to the axis of a conic , which is not a parabola , lie on a straight line perpendicular to the axis . Let O be the middle point of a chord PQ ...
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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