Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página x
... 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 : PgCB2 : CA2 . • If the normal at P meet the ...
... 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 : PgCB2 : CA2 . • If the normal at P meet the ...
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... meet the minor axis in g , and gk be perpen- dicular to SP , then Pk = CA 106 · PF . PGCB2 107 CN.CT CA2 - 108 PN2 : AN . NA ' = CB2 : CA2 109 Tangents at right angles intersect on a fixed circle 110 CHAPTER VII . THE HYPERBOLA ...
... meet the minor axis in g , and gk be perpen- dicular to SP , then Pk = CA 106 · PF . PGCB2 107 CN.CT CA2 - 108 PN2 : AN . NA ' = CB2 : CA2 109 Tangents at right angles intersect on a fixed circle 110 CHAPTER VII . THE HYPERBOLA ...
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... meet MP , or a straight line MP , drawn parallel to the axis of a parabola , meets the curve in one point only ... meet it in two points . Conversely , it may be shown that no straight line can meet a conic in more points than two . From ...
... meet MP , or a straight line MP , drawn parallel to the axis of a parabola , meets the curve in one point only ... meet it in two points . Conversely , it may be shown that no straight line can meet a conic in more points than two . From ...
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... meets the directrix in R ; join R , P. Then RP is the tangent at P. Similarly , RO is the tangent at 0 . [ Prop . I. , Cor . Hence the tangents at P , 0 , the extremities of a focal chord meet in a point R which lies upon the directrix ...
... meets the directrix in R ; join R , P. Then RP is the tangent at P. Similarly , RO is the tangent at 0 . [ Prop . I. , Cor . Hence the tangents at P , 0 , the extremities of a focal chord meet in a point R which lies upon the directrix ...
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... meet the conic in P. Then , SLT being a right angle , TP touches the conic . [ Prop . III . , Cor . Similarly , if TM be the other tangent from T to the circle , and SM meet the conic in Q , then TQ will be the tangent at Q. PROP . VI ...
... meet the conic in P. Then , SLT being a right angle , TP touches the conic . [ Prop . III . , Cor . Similarly , if TM be the other tangent from T to the circle , and SM meet the conic in Q , then TQ will be the tangent at Q. PROP . VI ...
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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
Pasajes populares
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.