Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 73.
Σελίδα 3
... Similarly = SP ' : P'M ' = SA : AX , or P ' is a point on the curve . Thus any number of points on the curve may be deter- mined corresponding to the various positions of N. 2. The axis divides the curve into two equal and B 2 ( 3 ) ...
... Similarly = SP ' : P'M ' = SA : AX , or P ' is a point on the curve . Thus any number of points on the curve may be deter- mined corresponding to the various positions of N. 2. The axis divides the curve into two equal and B 2 ( 3 ) ...
Σελίδα 4
... Similarly , the cases of the ellipse and 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 ...
... Similarly , the cases of the ellipse and 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 ...
Σελίδα 7
... Similarly , RO is the tangent at 0 . [ Prop . I. , Cor . Hence the tangents at P , 0 , the extremities of a focal chord meet in a point R which lies upon the directrix , and the straight line RS is at right angles to OP . PROP . III ...
... Similarly , RO is the tangent at 0 . [ Prop . I. , Cor . Hence the tangents at P , 0 , the extremities of a focal chord meet in a point R which lies upon the directrix , and the straight line RS is at right angles to OP . PROP . III ...
Σελίδα 9
... Similarly , if TM be the other tangent from T to the circle , and SM meet the conic in Q , then TQ will be the tangent at Q. PROP . VI . The tangents at P , Q intersect in T. To prove that TP , TQ subtend equal angles at S. Let TL , TM ...
... Similarly , if TM be the other tangent from T to the circle , and SM meet the conic in Q , then TQ will be the tangent at Q. PROP . VI . The tangents at P , Q intersect in T. To prove that TP , TQ subtend equal angles at S. Let TL , TM ...
Σελίδα 11
... Similarly LPSR supplement of RSP . = 4qSR = supplement of RSQ . By subtraction 4 pSq = PSQ . Again , p'R , p'P subtend equal angles at S. Therefore Similarly 4p'SR = PSR . 4q ' SR = { QSR . By subtraction ≤p'Sq ' = & PSQ = pSq from ...
... Similarly LPSR supplement of RSP . = 4qSR = supplement of RSQ . By subtraction 4 pSq = PSQ . Again , p'R , p'P subtend equal angles at S. Therefore Similarly 4p'SR = PSR . 4q ' SR = { QSR . By subtraction ≤p'Sq ' = & PSQ = pSq from ...
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.