Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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... 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 minor ...
... 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 minor ...
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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 ... meet the asymptotes and axes respec- tively in four points which lie on a circle 119 • The tangent , terminated by the ...
... 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 ... meet the asymptotes and axes respec- tively in four points which lie on a circle 119 • The tangent , terminated by the ...
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... meeting the directrix at right angles in X , and in SX take a point A such ... line M M A S N drawn through N parallel to the directrix . Let PM , P'M ' be the ... axis divides the curve into two equal and B 2 ( 3 ) TRACING THE CURVE ...
... meeting the directrix at right angles in X , and in SX take a point A such ... line M M A S N drawn through N parallel to the directrix . Let PM , P'M ' be the ... axis divides the curve into two equal and B 2 ( 3 ) TRACING THE CURVE ...
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With Numerous Examples Charles Taylor. 2. The axis divides the curve into two equal and similar parts . For , corresponding to any point P at a perpendicular distance PN from the axis ... meet in Q , SQ : SP = QM : PM . [ Euc . vI . , A. 3 ...
With Numerous Examples Charles Taylor. 2. The axis divides the curve into two equal and similar parts . For , corresponding to any point P at a perpendicular distance PN from the axis ... meet in Q , SQ : SP = QM : PM . [ Euc . vI . , A. 3 ...
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... axis will not meet MP , or a straight line MP , drawn parallel to the axis of a parabola , meets the curve in one point only . Hence the parabola consists of one infinite branch . 6. Let MP be any straight line which meets the directrix ...
... axis will not meet MP , or a straight line MP , drawn parallel to the axis of a parabola , meets the curve in one point only . Hence the parabola consists of one infinite branch . 6. Let MP be any straight line which meets the directrix ...
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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.