Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 sayfa |
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abscissa Alternando asymptotes auxiliary circle axis in G bisects the angle CA² CB² CD² centre chord of contact chord PQ chords parallel circle described conjugate diameters conjugate hyperbola constant angle constant ratio CP² Draw drawn parallel ellipse equal angles equally inclined fixed point fixed straight line focal chord focal perpendicular foci focus Hence inscribed latus rectum Lemma Let the tangent locus major axis meet the axis meet the curve meet the directrix meet the minor middle point minor axis opposite sides ordinate parabola parallel chords parallelogram passes plane point of intersection point Q points of contact polar produced projection Prop prove Q intersect quadrilateral rectangular hyperbola right angles right-angled triangles semi-latus rectum semi-minor axis similar triangles Similarly straight line drawn tangent and normal touches vertex
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Sayfa 96 - To prove this, the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " Let ABC be an isosceles triangle, of which the side AB is equal to the side AC ; then the angle ABC shall be equal to the angle AC B.
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