Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Αποτελέσματα 1 - 5 από τα 94.
Σελίδα 10
... passes through P , then TSL is the supplement of the angle which TP subtends at S. In this case the tangents TP , TQ subtend supplementary angles at S. PROP . VII . The chords PR , QR meet the directrix in p , q , and the tangents at P ...
... passes through P , then TSL is the supplement of the angle which TP subtends at S. In this case the tangents TP , TQ subtend supplementary angles at S. PROP . VII . The chords PR , QR meet the directrix in p , q , and the tangents at P ...
Σελίδα 11
... COR . If a chord PQ , being produced , pass through a fixed point R on the directrix , the tangents at P , Q will meet on the fixed straight line ST , drawn at right angles to RS . PROP . IX . To prove that SGP , SPM CONICS . 11.
... COR . If a chord PQ , being produced , pass through a fixed point R on the directrix , the tangents at P , Q will meet on the fixed straight line ST , drawn at right angles to RS . PROP . IX . To prove that SGP , SPM CONICS . 11.
Σελίδα 12
... passes through S , since PSR is a right angle ; and also through M , where PM is the perpendicular from P on the directrix . But PG , being at right angles to PR , touches the circle ( Euc . III . , 16 , Cor . ) . Therefore Also M X S L ...
... passes through S , since PSR is a right angle ; and also through M , where PM is the perpendicular from P on the directrix . But PG , being at right angles to PR , touches the circle ( Euc . III . , 16 , Cor . ) . Therefore Also M X S L ...
Σελίδα 14
... passes through Y , since SYQ is a right angle . T M Ꭱ First , let R lie in PQ produced . Take any point T in PS produced . Then SR bisects the angle QST . Therefore L RST RSQ = SMC , = where C is the centre of the circle . [ Euc . vi ...
... passes through Y , since SYQ is a right angle . T M Ꭱ First , let R lie in PQ produced . Take any point T in PS produced . Then SR bisects the angle QST . Therefore L RST RSQ = SMC , = where C is the centre of the circle . [ Euc . vi ...
Σελίδα 17
... bisected at that point , and hence that all diameters pass through C , a diameter being defined as the straight line which bisects a system of parallel chords . C The point C is termed the centre , and conics CONICS . 17 Diameters.
... bisected at that point , and hence that all diameters pass through C , a diameter being defined as the straight line which bisects a system of parallel chords . C The point C is termed the centre , and conics CONICS . 17 Diameters.
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.