Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα vii
... point of contact . I have in general made it an object to prove analogous properties by similar methods , the ... Points , the results of Orthogonal Projection are obtained by a method not in- volving solid geometry . The connection ...
... point of contact . I have in general made it an object to prove analogous properties by similar methods , the ... Points , the results of Orthogonal Projection are obtained by a method not in- volving solid geometry . The connection ...
Σελίδα xi
... points which lie on a circle 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 • PF.CDCA.CB Conjugate diameters PG . Pg = CD2 • PG : CDCB : CA CV.CT = CD 121 • 122 122 • 122 126 SP . PH = CD 126 ...
... points which lie on a circle 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 • PF.CDCA.CB Conjugate diameters PG . Pg = CD2 • PG : CDCB : CA CV.CT = CD 121 • 122 122 • 122 126 SP . PH = CD 126 ...
Σελίδα 6
... point of contact to the directrix , subtends a right angle at the focus . Let PQR be a straight line which meets the curve in P , Q , and the directrix in R. Produce PS to 0 . Then , since P , Q are points on the same conic , SP : PR ...
... point of contact to the directrix , subtends a right angle at the focus . Let PQR be a straight line which meets the curve in P , Q , and the directrix in R. Produce PS to 0 . Then , since P , Q are points on the same conic , SP : PR ...
Σελίδα 10
... points of contact P , Q lie on opposite branches of a hyperbola , so that SL produced backwards T M P passes through P , then TSL is the supplement of the angle which TP subtends at S. In this case the tangents TP , TQ subtend ...
... points of contact P , Q lie on opposite branches of a hyperbola , so that SL produced backwards T M P passes through P , then TSL is the supplement of the angle which TP subtends at S. In this case the tangents TP , TQ subtend ...
Σελίδα 11
... points of contact , lie on the same conic , SP : PR = SQ : QR . [ Def . , Note . T P R A Therefore SR bisects the ... point R on the directrix , the tangents at P , Q will meet on the fixed straight line ST , drawn at right angles to RS ...
... points of contact , lie on the same conic , SP : PR = SQ : QR . [ Def . , Note . T P R A Therefore SR bisects the ... point R on the directrix , the tangents at P , Q will meet on the fixed straight line ST , drawn at right angles to RS ...
Άλλες εκδόσεις - Προβολή όλων
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 226 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.