Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα vii
... hyperbola , is also new , and has been applied to prove , amongst other theorems , that the portion of any tangent intercepted be- tween the asymptotes is bisected at the point of contact . I have in general made it an object to prove ...
... hyperbola , is also new , and has been applied to prove , amongst other theorems , that the portion of any tangent intercepted be- tween the asymptotes is bisected at the point of contact . I have in general made it an object to prove ...
Σελίδα x
... HYPERBOLA 100 ~ SP HP constant 100 The tangent at P bisects the angle SPH . 103 The circle through the foci and any point on the curve meets the tangent and normal in the minor axis 103 · Page If TP , TQ be tangents to opposite branches ...
... HYPERBOLA 100 ~ SP HP constant 100 The tangent at P bisects the angle SPH . 103 The circle through the foci and any point on the curve meets the tangent and normal in the minor axis 103 · Page If TP , TQ be tangents to opposite branches ...
Σελίδα xi
... HYPERBOLA CONTINUED Asymptotes • 118 119 The tangent and normal meet the asymptotes and axes respec- tively in four points which lie on a circle 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 ...
... HYPERBOLA CONTINUED Asymptotes • 118 119 The tangent and normal meet the asymptotes and axes respec- tively in four points which lie on a circle 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 ...
Σελίδα 2
... Hyperbola , accord- ing as its eccentricity is equal to , less or greater than unity . The Axis is a straight line drawn from the focus perpen- dicular to the directrix , and the point in which it intersects the conic is called the ...
... Hyperbola , accord- ing as its eccentricity is equal to , less or greater than unity . The Axis is a straight line drawn from the focus perpen- dicular to the directrix , and the point in which it intersects the conic is called the ...
Σελίδα 4
... hyperbola may be discussed . 5. Again , let PM be the perpendicular on the direc- trix from any point P M on the curve , and at the point S in SM make the angle MSR equal to MSP . Then the angle PSR is bi- X R Α ' sected by SM , and if ...
... hyperbola may be discussed . 5. Again , let PM be the perpendicular on the direc- trix from any point P M on the curve , and at the point S in SM make the angle MSR equal to MSP . Then the angle PSR is bi- X R Α ' sected by SM , and if ...
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.