Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 36
... parallelogram , since all diameters are parallel . Also Vo is a parallelogram . Hence But Therefore Also By subtraction T VPU / O TU , OV = tp , po , each to each . tp = po . TU = OV . UP = VP . [ Prop . XII . , Cor . 1 , p . 16 ...
... parallelogram , since all diameters are parallel . Also Vo is a parallelogram . Hence But Therefore Also By subtraction T VPU / O TU , OV = tp , po , each to each . tp = po . TU = OV . UP = VP . [ Prop . XII . , Cor . 1 , p . 16 ...
Σελίδα 38
... parallelograms be increased and their breadths diminished indefinitely . Then , as above , each parallelogram in the first series is double of the corresponding one in the second . Hence the sum of the first series , which ultimately ...
... parallelograms be increased and their breadths diminished indefinitely . Then , as above , each parallelogram in the first series is double of the corresponding one in the second . Hence the sum of the first series , which ultimately ...
Σελίδα 39
... parallelogram MR ' . EXAMPLES . 1. Any point whose distance from the focus of a given parabola is greater than its perpendicular distance from the directrix , lies on the convex side of the curve . 2. Prove that the perpendicular drawn ...
... parallelogram MR ' . EXAMPLES . 1. Any point whose distance from the focus of a given parabola is greater than its perpendicular distance from the directrix , lies on the convex side of the curve . 2. Prove that the perpendicular drawn ...
Σελίδα 58
... parallelogram PYCk by drawing the diameter parallel to the tangent at P or perpendicular to the normal PF . Then PROP . X. To prove Pk = CY CA. = that SY.HZ = CB2 , where SY , HZ are the focal perpendiculars upon the tangent at any ...
... parallelogram PYCk by drawing the diameter parallel to the tangent at P or perpendicular to the normal PF . Then PROP . X. To prove Pk = CY CA. = that SY.HZ = CB2 , where SY , HZ are the focal perpendiculars upon the tangent at any ...
Σελίδα 78
... parallelogram formed by drawing tangents at the extremities of a pair of conjugate diameters PP ' , DD ' is of constant area . Let the normal at P meet DD ' in Fand the major axis in G. P D Then Alternando PG : CD = CB : CA. [ Prop . IV ...
... parallelogram formed by drawing tangents at the extremities of a pair of conjugate diameters PP ' , DD ' is of constant area . Let the normal at P meet DD ' in Fand the major axis in G. P D Then Alternando PG : CD = CB : CA. [ Prop . IV ...
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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.