The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 9
... DF is equal to the base EF ( 24 Def . ) ; therefore the angle DCF is equal ( 8.1 . ) to the angle ECF ; and they are adjacent angles . But , when the adjacent angles which one straight line BOOK I. PROP . IX . , X. , XI . 9.
... DF is equal to the base EF ( 24 Def . ) ; therefore the angle DCF is equal ( 8.1 . ) to the angle ECF ; and they are adjacent angles . But , when the adjacent angles which one straight line BOOK I. PROP . IX . , X. , XI . 9.
Seite 13
... third side , viz . , the sides BA , AC greater than the side BC , and AB , BC , greater than AC , and BC , CA greater than AB . Produce BA to the point D , and make ( BOOK I. PROP . XVII . , XVIII . , XIX . , XX . 13.
... third side , viz . , the sides BA , AC greater than the side BC , and AB , BC , greater than AC , and BC , CA greater than AB . Produce BA to the point D , and make ( BOOK I. PROP . XVII . , XVIII . , XIX . , XX . 13.
Seite 17
... which the equal sides are opposite ; therefore the angle BHA is equal to the angle EFD ; But EFD is equal ( Hyp . ) to the angle BCA ; therefore also the VOL . II . C angle BHA is equal ( 1 Ax . ) to BOOK I. PROP . XXV . , XXVI . 17.
... which the equal sides are opposite ; therefore the angle BHA is equal to the angle EFD ; But EFD is equal ( Hyp . ) to the angle BCA ; therefore also the VOL . II . C angle BHA is equal ( 1 Ax . ) to BOOK I. PROP . XXV . , XXVI . 17.
Seite 19
... the parallel straight lines EF , CD , the angle GHF E is equal ( 29. 1. ) to the angle GKD ; And it was shown that the angle AGH is K equal to the angle GHF ; therefore also AGK is c 2 BOOK I. PROP . XXVIII . , XXIX . , XXX . 19.
... the parallel straight lines EF , CD , the angle GHF E is equal ( 29. 1. ) to the angle GKD ; And it was shown that the angle AGH is K equal to the angle GHF ; therefore also AGK is c 2 BOOK I. PROP . XXVIII . , XXIX . , XXX . 19.
Seite 21
... which is not a parallelo- gram , the straight line which joins any two of its opposite angles is called a diagonal . opposite sides and angles of the figure are equal to BOOK I. PROP . XXXII . , XXXIII . , XXXIV . 21.
... which is not a parallelo- gram , the straight line which joins any two of its opposite angles is called a diagonal . opposite sides and angles of the figure are equal to BOOK I. PROP . XXXII . , XXXIII . , XXXIV . 21.
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Häufige Begriffe und Wortgruppen
ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore