| Robert Simson - Trigonometry - 1804
...it. and the angle at A is half of the angle BGC, and the angle at D half of the angle EHF. therefore **the angle at A is equal to the angle at D. Wherefore,** in equal circles, &c. QJE. D. PROP. XXVHI. THEOR, IN equal circles, equal ftraight lines cut off equal... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal. Now **the angle at A is equal to the angle at D ; wherefore...triangle DEF. Next, let each of the angles at C, F be not** less than a right angle ; the triangle ^BC is also, in this case, equiangu-> lar to the triangle DEF.... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...that is, they are Book VI. equal : and the angle at A is equal to the angle at D ; where- ^v""»* fore **the remaining angle at C is equal to the remaining...DEF. Next, Let each of the angles at C, F, be not** less than a right angle : the triangle ABC is also in this case equiangular to the triangle DEF. The... | |
| Euclides - 1814
...which. is Koox VT absurd. Therefore the angles ABC, DEF are not unequal, *"*'***' that is, they are **equal: And the angle at A is equal to the angle at...remaining angle at F : Therefore the triangle ABC** ii equiangular to the triangle DEF. Next, Let each of the angles at C, F he not less than a right angle... | |
| Euclides - 1816 - 528 pages
...: And the angle at A is half of the angle BGC, and the angle at D half of the angle EHF: Therefore **the angle at A is equal to the angle at D. Wherefore,** in equal circles, &c. QED PROP. XXVIII. THEOR. IN equal circles, equal straight lines cut off equal... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are **equal : And the angle at A is equal to the angle at...DEF. • Next, let each of the angles at C, F be not** less than a right angle ; the triangle ABC is also, in this case, equiangular to the triangle DEF.... | |
| John Playfair - 1819 - 317 pages
...and the angle at A is half of the. angle BGC, and the angle at D half of the angle EHF : therefore **the angle at A is equal to the angle at D. Wherefore,** in equal circles. &c. q.-ED PROP. XXVIII. THEOK. In equal circles, equal straight lines cut off' equal... | |
| Euclid, Robert Simson - Geometry - 1821 - 516 pages
...than a right angle; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are **equal: and the angle at A is equal to the angle at...DEF. Next, let each of the angles at C, F, be not** less than a right angle: the triangle ABC is also in this case equiangular to the triangle DEF. The... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...And the angle at A is half of the angle BGC, and the angle at D halt" of the angle EHF : Therefore **the angle at A is equal to the angle at D. Wherefore,** in equal circles, &c. QED Proposition XXVIII. Theorem. In equal circles, equal straight lines cut off... | |
| George Lees - 1826
...than a right angle, which is absurd. Therefore, the angles ABC, DEF are not unequal, that is, they are **equal. And the angle at A is equal to the angle at...remaining angle at C is equal to the remaining angle at** Fa ; therefore, the triangle ABC is equiangular to the triangle DEF. Next, let each of the angles at... | |
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