Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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Página 1
... angles BAC , DAC ; and the angle BAC is equal to the angle DAC , by hypothesis : therefore the base BC is equal to the base DC , and the angle ACB is equal to the angle ACD by I. 4 . T. EX . 1 9. The angle ACB is equal to the angle BDA.
... angles BAC , DAC ; and the angle BAC is equal to the angle DAC , by hypothesis : therefore the base BC is equal to the base DC , and the angle ACB is equal to the angle ACD by I. 4 . T. EX . 1 9. The angle ACB is equal to the angle BDA.
Página 3
... angle BAC be bisected by AD , and the angle BAG by AE : the angle DAE shall be a right angle . Since the angle BAD is half the angle BAC , and the angle BAE is half the angle BAG , the two angles BAD and BAE together are half the two ...
... angle BAC be bisected by AD , and the angle BAG by AE : the angle DAE shall be a right angle . Since the angle BAD is half the angle BAC , and the angle BAE is half the angle BAG , the two angles BAD and BAE together are half the two ...
Página 5
... BAC have the required values . 28. From any point D in the straight line bisecting the angle A of a triangle draw DE ... angle DAE is equal to the angle DAF , by hypothesis ; and the right angles DEA and DFA are equal : therefore DE is ...
... BAC have the required values . 28. From any point D in the straight line bisecting the angle A of a triangle draw DE ... angle DAE is equal to the angle DAF , by hypothesis ; and the right angles DEA and DFA are equal : therefore DE is ...
Página 7
... angle CEF equal to the given angle . Through A draw a straight line parallel to FE , and meeting CD at B : then B is ... BAC , and meeting BC at F. Then the triangles BAF and CAF are equal in all respects , by I. 4 ; so that the angles AFB , ...
... angle CEF equal to the given angle . Through A draw a straight line parallel to FE , and meeting CD at B : then B is ... BAC , and meeting BC at F. Then the triangles BAF and CAF are equal in all respects , by I. 4 ; so that the angles AFB , ...
Página 9
... angle BCK by the straight line CD : then the angle BDC , together with half the angle BAC , will make up a right angle . Bisect the angle ABC by the straight line BE , and bisect the angle ACB by the straight line CE ; then the angles ...
... angle BCK by the straight line CD : then the angle BDC , together with half the angle BAC , will make up a right angle . Bisect the angle ABC by the straight line BE , and bisect the angle ACB by the straight line CE ; then the angles ...
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ABCD AC and BD AC is equal angle ABC angle ACB angle BAC angle CAB bisects the angle Cambridge centre chord circle described circumference Crown 8vo describe a circle diameter draw a straight Edition equal to BC equal to four equal to half equal to twice equiangular Euclid Exercise 176 Extra fcap fcap fore given circle given point given straight line greater half a right half the angle Hence Let ABC meeting BC middle point Owens College parallel to BC parallelogram perpendicular plane Professor quadrilateral radius equal rectangle rhombus right angles segment shewn side BC square on BC straight line parallel suppose tangent touch the circle triangle ABC twice the angle twice the rectangle twice the squares
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