Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página vi
... given ( p . 171 ) , which depends upon the definition only . Prop . II . , Chapter IV . , viz . that the sum of the focal distances of a point on the ellipse is constant , has been proved without assuming the no less difficult ...
... given ( p . 171 ) , which depends upon the definition only . Prop . II . , Chapter IV . , viz . that the sum of the focal distances of a point on the ellipse is constant , has been proved without assuming the no less difficult ...
Página viii
... given at the commencement of the work , whilst another class , in which especial explanation is required , may be found by referring to the Table of Contents . In references , the number of the page has usually been given , except when ...
... given at the commencement of the work , whilst another class , in which especial explanation is required , may be found by referring to the Table of Contents . In references , the number of the page has usually been given , except when ...
Página 1
... given conic . Draw SX , PM , P'M ' perpendi- cular to the directrix , and through P , P ' draw any two parallel straight lines meeting the direc- trix in R , R ' . Then by similar triangles PMR , P'M'R ' , M R R P ' Χ S PM : PR = P'M ...
... given conic . Draw SX , PM , P'M ' perpendi- cular to the directrix , and through P , P ' draw any two parallel straight lines meeting the direc- trix in R , R ' . Then by similar triangles PMR , P'M'R ' , M R R P ' Χ S PM : PR = P'M ...
Página 3
... given , any number of points on the curve may be determined . For , let S be the focus , MM ' the directrix . Draw SX meeting the directrix at right angles in X , and in SX take a point A such that the ratio of SA to AX may be equal to ...
... given , any number of points on the curve may be determined . For , let S be the focus , MM ' the directrix . Draw SX meeting the directrix at right angles in X , and in SX take a point A such that the ratio of SA to AX may be equal to ...
Página 6
... given point P on the curve . Let SR , drawn at right angles to SP , meet the directrix in R. Then PR is the tangent at P. PROP . II . Tangents at the extremities of a CHAPTER II CONICS The tangent, measured from the point of contact to ...
... given point P on the curve . Let SR , drawn at right angles to SP , meet the directrix in R. Then PR is the tangent at P. PROP . II . Tangents at the extremities of a CHAPTER II CONICS The tangent, measured from the point of contact to ...
Otras ediciones - Ver todo
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.