FBC ; and because the two sides AB, BD are equal to the two FB, BC, each to each, and the angle DBA equal to the angle FBC ; therefore the base AD is equal to the base FC, and the triangle ABD to the triangle FBC. Elements of Geometry: With Notes - Page 179by John Radford Young - 1827 - 208 pagesFull view - About this book
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...being a right angle, add to each the angle ABC, and the whole angle DBA is equal (2. Ax.) to the vyhole FBC : and because the two sides AB, BD are equal to the two FB, BC, each to each, and theangle DBA equal to 'the angle FBC ; therefore the base AD isequal (4. 1.) to the base FC, and the... | |
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...the whole angle DBA will be equal (2. Ax. ) to the whole FBC; and because the two sides AB, BD,are equal to the two FB, BC each to each, and the angle DBA equal to the angle FBC, thereH fore the base AD is equal (4. 1.) to the base FC, and the triangle ABD to the triangle FBC.... | |
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...them being a right angle, adding to each the angle ABC; the whole angle DBA will be equal (2. Ax.)to the whole FBC ; and because the two sides AB, BD,...BC each to each, •and the angle DBA equal to the H angle FBC, therefore the base AD is equal (4. 1,) ta the base FC, and the triangle ABD to the triangle... | |
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...Del'. •2 Ax. t 30 Del'. • 4. 1. • 41. 1. • 6 Ai. to each the angle ABC; therefore the whole angle DBA is equal * to the whole FBC : and because the two sides AB, BD are equal t to the two FB, BC, each to each, and the angle DBA equal to the angle FBC, therefore the base AD... | |
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...them being a right angle, adding to each the angle ABC, the whole angle DBA will be equal (2. Ax.) to the whole FBC ; and because the two sides AB, BD,...equal to the angle FBC, therefore the base AD is equal (1. 1.) to the base FC, and the triangle ABD to the triangle FBC. But the parallelogram BL is double... | |
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...them being a right angle, add to each the angle ABC, and the whole D e 2. Ax. angle DBA is equal e to the whole FBC ; and because the two sides AB, BD...the angle DBA equal to the angle FBC ; therefore the f4. 1. base AD is equal f to the base FC, and the triangle ABD g 41. 1. to the triangle FBC : Now the... | |
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...reason, CF is U4. 1. equal to FD : and because AD is equal to BC, and AF to FB, the two sides FA, AD are equal to the two FB, BC, each to each; and the base DF was proved equal to the base FC; therefore the angle FAD is equal d to the angle FBC: Again,... | |
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...them being a right angle, adding to each the e 2. Ax. angle ABC, the whole angle DBA will be equal e to the whole FBC ; and because the two sides AB, BD,...DBA equal to the angle FBC, therefore the base AD is f 4. 1. equal f to the base FC, and the triangle ABD to the trig 41. 1. angle FBC. But the parallelogram... | |
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...angle FBA, each of them being a right angle (Def. 5. 2.), add to each the angle ABC, and the whole angle DBA is equal to the whole FBC ; and because the two sides AB, BD are equal to the two BF, BC, each to each, and the angle DBA equal to the angle FBC ; therefore the base AD is equal (4.... | |
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