Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα ix
... right angle at the focus SL : TN SA : AX = Tangents subtend equal angles at the focus SG : SP SA : AX = PK latus rectum == Lemma Diameters Central Conics • SPPH constant CHAPTER III . 6 6 7 9 12 12 14 15 18 19 THE PARABOLA Diameters 25 ...
... right angle at the focus SL : TN SA : AX = Tangents subtend equal angles at the focus SG : SP SA : AX = PK latus rectum == Lemma Diameters Central Conics • SPPH constant CHAPTER III . 6 6 7 9 12 12 14 15 18 19 THE PARABOLA Diameters 25 ...
Σελίδα x
... right angles intersect on a fixed circle . 60 61 62 63 ༄ སྒྱུ Ordinates of an ellipse and its auxiliary circle are ... angle SPH . 103 The circle through the foci and any point on the curve meets the tangent and normal in the minor axis ...
... right angles intersect on a fixed circle . 60 61 62 63 ༄ སྒྱུ Ordinates of an ellipse and its auxiliary circle are ... angle SPH . 103 The circle through the foci and any point on the curve meets the tangent and normal in the minor axis ...
Σελίδα xi
... right angles intersect on a fixed circle 110 CHAPTER VII . THE 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 ...
... right angles intersect on a fixed circle 110 CHAPTER VII . THE 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 ...
Σελίδα 2
... right angles to the axis . Let P , Q be adjacent points on a conic , as in Prop . I. , p . 6 , and let move along the curve towards P , whilst P remains stationary . Then the chord PQ , in its limiting posi- tion , when coincides with P ...
... right angles to the axis . Let P , Q be adjacent points on a conic , as in Prop . I. , p . 6 , and let move along the curve towards P , whilst P remains stationary . Then the chord PQ , in its limiting posi- tion , when coincides with P ...
Σελίδα 3
... right angles in X , and in SX take a point A such that the ratio of SA to AX may be equal to the eccentricity . Then A is the vertex of the curve . In AS , or AS produced , take any point N , and with centre S , radius SP , such that SP ...
... right angles in X , and in SX take a point A such that the ratio of SA to AX may be equal to the eccentricity . Then A is the vertex of the curve . In AS , or AS produced , take any point N , and with centre S , radius SP , such that SP ...
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.