Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα 178
... range A , B , C , D , and is denoted by { ABCD } . In the expression for the anharmonic ratio of a range the letters which constitute the range might have been taken in a different order . Thus AD . BC : AB.CD might have been defined as ...
... range A , B , C , D , and is denoted by { ABCD } . In the expression for the anharmonic ratio of a range the letters which constitute the range might have been taken in a different order . Thus AD . BC : AB.CD might have been defined as ...
Σελίδα 179
... range in which its rays are intersected by any transversal . Pencils and ranges are said to be equal when their anhar- monic ratios are equal . Let P be the vertex ( fig . , p . 184 ) and PA , PB , PC , PD the rays of any pencil . Then ...
... range in which its rays are intersected by any transversal . Pencils and ranges are said to be equal when their anhar- monic ratios are equal . Let P be the vertex ( fig . , p . 184 ) and PA , PB , PC , PD the rays of any pencil . Then ...
Σελίδα 180
... range equal to { ABCD } , that is , in the point D ' . Hence , if { AB'C'D ' } = { ABCD } , the straight lines BB ' , CC ' , DD ' meet in a point . Now let BB ' , CC ' be fixed positions of the variable line . Then , the above condition ...
... range equal to { ABCD } , that is , in the point D ' . Hence , if { AB'C'D ' } = { ABCD } , the straight lines BB ' , CC ' , DD ' meet in a point . Now let BB ' , CC ' be fixed positions of the variable line . Then , the above condition ...
Σελίδα 181
... ranges . This is to say , they will both meet it in the same point . Therefore D lies on the straight line ABC . Now let B , C be fixed positions of the variable point . Then D lies on the ... range { ABCD } may be ANHARMONIC RATIO . 181.
... ranges . This is to say , they will both meet it in the same point . Therefore D lies on the straight line ABC . Now let B , C be fixed positions of the variable point . Then D lies on the ... range { ABCD } may be ANHARMONIC RATIO . 181.
Σελίδα 182
... range will be harmonic . [ Def . Hence , a range will be harmonic if in the expression for its anharmonic ratio , the second and fourth , or the first and third , letters of the range can be interchanged without altering the value of ...
... range will be harmonic . [ Def . Hence , a range will be harmonic if in the expression for its anharmonic ratio , the second and fourth , or the first and third , letters of the range can be interchanged without altering the value of ...
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.