The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 18
... parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet ...
... parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet ...
Σελίδα 19
... parallel ( 27. 1. ) to CD . Wherefore , if a straight line , etc. Q. E. D. PROPOSITION XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle ...
... parallel ( 27. 1. ) to CD . Wherefore , if a straight line , etc. Q. E. D. PROPOSITION XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle ...
Σελίδα 20
... parallel ( 27. 1. ) to CD . Wherefore , straight lines , etc. Q. E. D. PROPOSITION XXXI . PROB . To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ...
... parallel ( 27. 1. ) to CD . Wherefore , straight lines , etc. Q. E. D. PROPOSITION XXXI . PROB . To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ...
Σελίδα 21
... parallel . Let AB , CD be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ; AC , BD are also equal and parallel . Join BC ; and because AB is parallel to CD , and BC meets them , the ...
... parallel . Let AB , CD be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ; AC , BD are also equal and parallel . Join BC ; and because AB is parallel to CD , and BC meets them , the ...
Σελίδα 23
... parallel straight lines towards the same parts , are them- selves equal and parallel ( 33. 1. ) ; therefore C F EB , CH are both equal and parallel , and EBCH is a ( Def . 34. 1. ) parallelogram ; and it is equal ( 35. 1. ) to ABCD ...
... parallel straight lines towards the same parts , are them- selves equal and parallel ( 33. 1. ) ; therefore C F EB , CH are both equal and parallel , and EBCH is a ( Def . 34. 1. ) parallelogram ; and it is equal ( 35. 1. ) to ABCD ...
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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