The Elements of EuclidLongmans, Green and Company, 1866 - 376 sider |
Inni boken
Resultat 1-5 av 51
Side 8
... angle BAC equal to the angle EDF ; the base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC ...
... angle BAC equal to the angle EDF ; the base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC ...
Side 12
Euclides. is the angle BDC greater than the angle BCD : Again , because BD is equal to BC the angle BDC is equal to ... BAC shall be equal to angle EDF . base AA the the B F For , if the triangle ABC be applied to the 12 EUCLID'S ELEMENTS .
Euclides. is the angle BDC greater than the angle BCD : Again , because BD is equal to BC the angle BDC is equal to ... BAC shall be equal to angle EDF . base AA the the B F For , if the triangle ABC be applied to the 12 EUCLID'S ELEMENTS .
Side 13
... angle BAC coincides with the angle EDF , and is equal to it . Wherefore , If two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given ...
... angle BAC coincides with the angle EDF , and is equal to it . Wherefore , If two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given ...
Side 14
Euclides. -therefore ( 1. 8 ) the angle DAF is equal to the angle EAF : Wherefore the given rectilineal angle BAC is bisected by the straight line AF . Q. E. F. PROP . X. PROB . To bisect a given finite straight line , that is , to ...
Euclides. -therefore ( 1. 8 ) the angle DAF is equal to the angle EAF : Wherefore the given rectilineal angle BAC is bisected by the straight line AF . Q. E. F. PROP . X. PROB . To bisect a given finite straight line , that is , to ...
Side 19
... angles . Let ABC be a triangle , and let its side BC be pro- duced to D : the exterior angle ACD is greater than either of the interior opposite angles CBA , BAC . Bisect AC at E ( 1. 10 ) , join BE , and produce it to F , making EF ...
... angles . Let ABC be a triangle , and let its side BC be pro- duced to D : the exterior angle ACD is greater than either of the interior opposite angles CBA , BAC . Bisect AC at E ( 1. 10 ) , join BE , and produce it to F , making EF ...
Vanlige uttrykk og setninger
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore