Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 48.
Σελίδα v
... distance from a fixed point bears a constant ratio to its perpendicular dis- tance from a fixed straight line . The propositions of this Chapter have been selected as either important in them- selves or useful in their application . To ...
... distance from a fixed point bears a constant ratio to its perpendicular dis- tance from a fixed straight line . The propositions of this Chapter have been selected as either important in them- selves or useful in their application . To ...
Σελίδα vi
... distances of a point on the ellipse is constant , has been proved without assuming the no less difficult proposition that every ellipse has two directrices . The Lemma being assumed , these results follow as in Chapter II . It is proved ...
... distances of a point on the ellipse is constant , has been proved without assuming the no less difficult proposition that every ellipse has two directrices . The Lemma being assumed , these results follow as in Chapter II . It is proved ...
Σελίδα x
... distances • The 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 ...
... distances • The 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 ...
Σελίδα 1
... distance from a fixed straight line , called the Directrix . M Note . Let S be the focus , MX the directrix , P and ... distance from the focus bears always the same ratio to its distance from the directrix , measured parallel to any ...
... distance from a fixed straight line , called the Directrix . M Note . Let S be the focus , MX the directrix , P and ... distance from the focus bears always the same ratio to its distance from the directrix , measured parallel to any ...
Σελίδα 2
... distance from the focus , of any point on the curve , bears to its perpen- dicular distance from the directrix . A conic is called a Parabola , Ellipse , or Hyperbola , accord- ing as its eccentricity is equal to , less or greater than ...
... distance from the focus , of any point on the curve , bears to its perpen- dicular distance from the directrix . A conic is called a Parabola , Ellipse , or Hyperbola , accord- ing as its eccentricity is equal to , less or greater than ...
Άλλες εκδόσεις - Προβολή όλων
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 226 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.