Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
Dentro del libro
Resultados 1-5 de 84
Página 1
... straight line , called the Directrix . M Note . Let S be the focus , MX the directrix , P and P ' any two points on a given conic . Draw SX , PM , P'M ' perpendi- cular to the directrix , and through P , P ' draw any two parallel straight ...
... straight line , called the Directrix . M Note . Let S be the focus , MX the directrix , P and P ' any two points on a given conic . Draw SX , PM , P'M ' perpendi- cular to the directrix , and through P , P ' draw any two parallel straight ...
Página 2
... straight line drawn from the focus perpen- dicular to the directrix , and the point in which it intersects the conic is called the Vertex . The straight line joining any two points on a conic is said to be a Chord of the conic . The ...
... straight line drawn from the focus perpen- dicular to the directrix , and the point in which it intersects the conic is called the Vertex . The straight line joining any two points on a conic is said to be a Chord of the conic . The ...
Página 3
... 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 ... straight line M M A S N drawn through N parallel to the directrix . Let PM , P'M ' be the perpendiculars from P , P ...
... 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 ... straight line M M A S N drawn through N parallel to the directrix . Let PM , P'M ' be the perpendiculars from P , P ...
Página 5
... straight line RS falls without the angle MSX , and the points R , Q lie on the same side of the directrix . Hence ... drawn parallel to the axis of a parabola , meets the curve in one point only . Hence the parabola consists of one infinite ...
... straight line RS falls without the angle MSX , and the points R , Q lie on the same side of the directrix . Hence ... drawn parallel to the axis of a parabola , meets the curve in one point only . Hence the parabola consists of one infinite ...
Página 6
... straight line which meets the curve in P , Q , and the directrix in R. Produce PS to 0 . Then , since P , Q are ... draw the tangent at a given point P on the curve . Let SR , drawn at right angles to SP , meet the directrix in R. Then ...
... straight line which meets the curve in P , Q , and the directrix in R. Produce PS to 0 . Then , since P , Q are ... draw the tangent at a given point P on the curve . Let SR , drawn at right angles to SP , meet the directrix in R. Then ...
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.