Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 1
... Hence a conic might have been defined as the curve traced out by a point which moves in such a way that its distance from the focus bears always the same ratio to its distance from the directrix , measured parallel to any fixed straight ...
... Hence a conic might have been defined as the curve traced out by a point which moves in such a way that its distance from the focus bears always the same ratio to its distance from the directrix , measured parallel to any fixed straight ...
Σελίδα 4
... Hence the tangent at the vertex is perpendicular to the axis . 4. If the position of N be such that SP is less than SN , the straight line and circle , in the above construction , will not intersect . For such positions of N no points ...
... Hence the tangent at the vertex is perpendicular to the axis . 4. If the position of N be such that SP is less than SN , the straight line and circle , in the above construction , will not intersect . For such positions of N no points ...
Σελίδα 5
... Hence RS coinciding with the axis will not meet MP , or a straight line MP , drawn parallel to the axis of a parabola , meets the curve in one point only . Hence the parabola consists of one infinite branch . 6. Let MP be any straight ...
... Hence RS coinciding with the axis will not meet MP , or a straight line MP , drawn parallel to the axis of a parabola , meets the curve in one point only . Hence the parabola consists of one infinite branch . 6. Let MP be any straight ...
Σελίδα 6
... Hence SR bisects the angle QSO ( Euc . vI . , A ) , or QSR is half the sum of the angles QSR , OSR . Let the point Q move up to P. Then the chord PQ in its limiting position , when Q coincides with M R X S Р P , is the tangent at P. But ...
... Hence SR bisects the angle QSO ( Euc . vI . , A ) , or QSR is half the sum of the angles QSR , OSR . Let the point Q move up to P. Then the chord PQ in its limiting position , when Q coincides with M R X S Р P , is the tangent at P. But ...
Σελίδα 8
... Hence , if T be But the hypotenuse ST is greater than SL . taken anywhere on TR or TR produced , the ratio ST : TN will be greater than SA : AX , except when L coincides with P. It follows that all points on PR , with the exception of P ...
... Hence , if T be But the hypotenuse ST is greater than SL . taken anywhere on TR or TR produced , the ratio ST : TN will be greater than SA : AX , except when L coincides with P. It follows that all points on PR , with the exception of P ...
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.