Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα x
... Conjugate Diameters . PG : CDCB : CA PG.Pg = CD2 PF.CD = CA.CB SP . HPCD2 75 75 77 78 • 78 79 CP + CD2 constant 80 CV.CTCP2 81 QV2 : PV.VP ' = CD2 : CP2 83 The rectangles under the segments of two intersecting chords are as the squares ...
... Conjugate Diameters . PG : CDCB : CA PG.Pg = CD2 PF.CD = CA.CB SP . HPCD2 75 75 77 78 • 78 79 CP + CD2 constant 80 CV.CTCP2 81 QV2 : PV.VP ' = CD2 : CP2 83 The rectangles under the segments of two intersecting chords are as the squares ...
Σελίδα xi
... Conjugate diameters PG . Pg = CD2 • PG : CDCB : CA CV.CT = CD 121 • 122 122 • 122 126 SP . PH = CD 126 CP2CD constant • 127 If a chord Qq meet the asymptotes in R , r , then QR = qr QV2 : PV.VP ' = CD2 : CP2 128 • 129 If a chord meet ...
... Conjugate diameters PG . Pg = CD2 • PG : CDCB : CA CV.CT = CD 121 • 122 122 • 122 126 SP . PH = CD 126 CP2CD constant • 127 If a chord Qq meet the asymptotes in R , r , then QR = qr QV2 : PV.VP ' = CD2 : CP2 128 • 129 If a chord meet ...
Σελίδα 50
... Conjugate axis . Also , when THE axis is spoken of , AA ' is always signified . The Auxiliary Circle is the circle on AA ' as diameter ... diameters pass through the centre . A diameter is sometimes defined as a straight line drawn through ...
... Conjugate axis . Also , when THE axis is spoken of , AA ' is always signified . The Auxiliary Circle is the circle on AA ' as diameter ... diameters pass through the centre . A diameter is sometimes defined as a straight line drawn through ...
Σελίδα 75
... diameter . PROP . I. If one diameter be conjugate to a second , the second will be conjugate to the first . Draw the supplemental chords OP , OP ' , and bisect them by the diameters CR , CQ . Then CQ , which bisects P'P , and OP is ...
... diameter . PROP . I. If one diameter be conjugate to a second , the second will be conjugate to the first . Draw the supplemental chords OP , OP ' , and bisect them by the diameters CR , CQ . Then CQ , which bisects P'P , and OP is ...
Σελίδα 76
... conjugate diameters . PROP . II . If the semi - diameters CP , CD be conjugate , and the ordinates NP , RD be produced to meet the auxiliary circle in p , d respectively , then pCd is a right angle . The tangent at P is parallel to CD ...
... conjugate diameters . PROP . II . If the semi - diameters CP , CD be conjugate , and the ordinates NP , RD be produced to meet the auxiliary circle in p , d respectively , then pCd is a right angle . The tangent at P is parallel to CD ...
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.