Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα v
... proving the Anharmonic Properties of Conics . Prop . XII . , in which the fundamental property of diameters is established , leads to important simplifications . Prop . XIII . , which follows immediately from it , has been applied to prove ...
... proving the Anharmonic Properties of Conics . Prop . XII . , in which the fundamental property of diameters is established , leads to important simplifications . Prop . XIII . , which follows immediately from it , has been applied to prove ...
Σελίδα vi
... proved by elementary geometrical processes ( see Ex . 25 , p . 22 ) , whilst the inter- pretation of results is a manifest advantage to the student on his first introduction to analytical methods . The proposition QV2 = 4SP.PV , in the ...
... proved by elementary geometrical processes ( see Ex . 25 , p . 22 ) , whilst the inter- pretation of results is a manifest advantage to the student on his first introduction to analytical methods . The proposition QV2 = 4SP.PV , in the ...
Σελίδα vii
... prove analogous properties by similar methods , the tendency of this arrange- ment being to diminish the labour of ... proved by general methods which were first exhibited , in the Quarterly Journal of Pure and Applied Mathematics , by ...
... prove analogous properties by similar methods , the tendency of this arrange- ment being to diminish the labour of ... proved by general methods which were first exhibited , in the Quarterly Journal of Pure and Applied Mathematics , by ...
Σελίδα 7
... prove that SL : TN = SA : AX . Let M be the foot of the perpendicular from P on the M T N R L P directrix , R the point in which the tangent at P meets the directrix . Then TL is parallel to RS . [ Prop . I. Therefore SL : SP = RT : RP ...
... prove that SL : TN = SA : AX . Let M be the foot of the perpendicular from P on the M T N R L P directrix , R the point in which the tangent at P meets the directrix . Then TL is parallel to RS . [ Prop . I. Therefore SL : SP = RT : RP ...
Σελίδα 9
... prove that TP , TQ subtend equal angles at S. Let TL , TM , TN be the perpendiculars from T on SP , SQ , and the directrix . Then SL : TN - SA : AX [ Prop . III . SM : TN - SA : AX since Tlies on the tangent at P. So since Tlies on the ...
... prove that TP , TQ subtend equal angles at S. Let TL , TM , TN be the perpendiculars from T on SP , SQ , and the directrix . Then SL : TN - SA : AX [ Prop . III . SM : TN - SA : AX since Tlies on the tangent at P. So since Tlies on the ...
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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.