Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα v
... curves in question as sections of a surface . The term Conic Section is introduced in Chapter XI . In Chapter II . , some fundamental propositions are proved by methods applicable to all Conics , a Conic being con- sidered as the locus ...
... curves in question as sections of a surface . The term Conic Section is introduced in Chapter XI . In Chapter II . , some fundamental propositions are proved by methods applicable to all Conics , a Conic being con- sidered as the locus ...
Σελίδα viii
... , 13 . III . 66 1-12 , 15-17 , 19 . 66 IV . 66 1-16 , 18-20 . 66 V. 66 1-5 , 7-9 , 12-14 , 16 , 18 . 66 VI . 66 1-16 , 18 . 46 VII . " 6 66 VIII . , X. , XI . 1-18 . DEFINITIONS TRACING THE CURVE CONTENTS . Page 1 CHAPTER I. viii PREFACE .
... , 13 . III . 66 1-12 , 15-17 , 19 . 66 IV . 66 1-16 , 18-20 . 66 V. 66 1-5 , 7-9 , 12-14 , 16 , 18 . 66 VI . 66 1-16 , 18 . 46 VII . " 6 66 VIII . , X. , XI . 1-18 . DEFINITIONS TRACING THE CURVE CONTENTS . Page 1 CHAPTER I. viii PREFACE .
Σελίδα ix
With Numerous Examples Charles Taylor. DEFINITIONS TRACING THE CURVE CONTENTS . Page 1 CHAPTER I. 3 CHAPTER II . CONICS The tangent , measured from the point of contact to the directrix , subtends a right angle at the focus SL : TN SA ...
With Numerous Examples Charles Taylor. DEFINITIONS TRACING THE CURVE CONTENTS . Page 1 CHAPTER I. 3 CHAPTER II . CONICS The tangent , measured from the point of contact to the directrix , subtends a right angle at the focus SL : TN SA ...
Σελίδα x
... 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 . HZ CB2 = • PG : PgCB2 : CA2 . • If the normal at P meet ...
... 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 . HZ CB2 = • PG : PgCB2 : CA2 . • If the normal at P meet ...
Σελίδα xi
... curve in Q and the asymptotes in R , r , then RQ.QrCD2 129 CHAPTER VIII . THE RECTANGULAR HYPERBOLA • CHAPTER IX . CORRESPONDING POINTS CURVATURE CHAPTER X. 136 • 143 152 CONES CHAPTER XI . Page 161 CHAPTER XII . MISCELLANEOUS CONTENTS .
... curve in Q and the asymptotes in R , r , then RQ.QrCD2 129 CHAPTER VIII . THE RECTANGULAR HYPERBOLA • CHAPTER IX . CORRESPONDING POINTS CURVATURE CHAPTER X. 136 • 143 152 CONES CHAPTER XI . Page 161 CHAPTER XII . MISCELLANEOUS CONTENTS .
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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.