Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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... circle through the foci and any point on the curve meets the tangent and normal in the minor axis If TP , TQ be tangents , ≤ STQ = HTP The foot of the focal perpendicular upon the tangent lies on the auxiliary circle SY . HZ CB2 = • PG ...
... circle through the foci and any point on the curve meets the tangent and normal in the minor axis If TP , TQ be tangents , ≤ STQ = HTP The foot of the focal perpendicular upon the tangent lies on the auxiliary circle SY . HZ CB2 = • PG ...
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... circle upon the axis SY.HZ CB2 = 104 105 If the normal at P meet the minor axis in g , and gk be perpen- dicular to ... circle 110 CHAPTER VII . THE HYPERBOLA CONTINUED Asymptotes • 118 119 The tangent and normal meet the asymptotes and ...
... circle upon the axis SY.HZ CB2 = 104 105 If the normal at P meet the minor axis in g , and gk be perpen- dicular to ... circle 110 CHAPTER VII . THE HYPERBOLA CONTINUED Asymptotes • 118 119 The tangent and normal meet the asymptotes and ...
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... circle cutting in P , P ' , the straight line M M A S N drawn through N parallel to the directrix . Let PM , P'M ' be the perpendiculars from P , P ' on the directrix . Then PM is equal to NX . Therefore SP : PM – SA : AX , or P is a ...
... circle cutting in P , P ' , the straight line M M A S N drawn through N parallel to the directrix . Let PM , P'M ' be the perpendiculars from P , P ' on the directrix . Then PM is equal to NX . Therefore SP : PM – SA : AX , or P is a ...
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... circle , in the above construction , will not intersect . For such positions of N no points on the curve can be determined . Let the curve be a parabola and let N lie to the right of A. Then SP , or NX , is greater than SN , and the con ...
... circle , in the above construction , will not intersect . For such positions of N no points on the curve can be determined . Let the curve be a parabola and let N lie to the right of A. Then SP , or NX , is greater than SN , and the con ...
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... . To draw tangents to a conic from an external point T. Let N be the foot of the perpendicular from T on the directrix with centre S , radius SL , such that SL : TN - SA : AX describe a circle . Draw TL touching the circle , 8 CONICS .
... . To draw tangents to a conic from an external point T. Let N be the foot of the perpendicular from T on the directrix with centre S , radius SL , such that SL : TN - SA : AX describe a circle . Draw TL touching the circle , 8 CONICS .
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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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