Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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... axes . 64 PN : AN.NA ' = CB2 : CA2 65 CHAPTER V. THE ELLIPSE CONTINUED 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 ...
... axes . 64 PN : AN.NA ' = CB2 : CA2 65 CHAPTER V. THE ELLIPSE CONTINUED 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 ...
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... axes respec- tively in four 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 ...
... axes respec- tively in four 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 ...
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... axes CX , CO , are equal and equally inclined to either axis . Conversely , tangents equally inclined to either axis meet upon one of the axes and are equal . III . Equal diameters are equally inclined to either axis , and conversely ...
... axes CX , CO , are equal and equally inclined to either axis . Conversely , tangents equally inclined to either axis meet upon one of the axes and are equal . III . Equal diameters are equally inclined to either axis , and conversely ...
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... axes in contrary directions , intersect at right angles . 61. Two parabolas , with a common axis and vertex , havė their concavities in opposite directions ; the latus rectum of one is eight times that of the other ; prove that the ...
... axes in contrary directions , intersect at right angles . 61. Two parabolas , with a common axis and vertex , havė their concavities in opposite directions ; the latus rectum of one is eight times that of the other ; prove that the ...
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... axes in G , g , respectively , then PG : Pg = CB : CA " . Draw PM perpendicular to the directrix ( fig . , Prop . I. ) and let MS meet the minor axis in g . Then , as in Prop . I. , Pg is the normal at P. Let it meet the major axis in G ...
... axes in G , g , respectively , then PG : Pg = CB : CA " . Draw PM perpendicular to the directrix ( fig . , Prop . I. ) and let MS meet the minor axis in g . Then , as in Prop . I. , Pg is the normal at P. Let it meet the major axis in G ...
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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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Página 226 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.