 | Robert Simson - 1804 - Liczba stron: 530
...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 - 1806 - Liczba stron: 320
...equal to the angle at F ; therefore the angle at F is greater than a right angle. But, by hypothesis, it is less than a right angle ; which is absurd. Therefore...ABC, DEF are not unequal, that is, they are equal. Now the angle at A is equal to the angle at D ; wherefore the remaining angle at C is equal to the... | |
 | Robert Simson - 1806 - Liczba stron: 546
...; which is absurd. Theremtf /\ fore the angles ABC, DEF are not unequal, 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 angle at F : therefore the... | |
 | Euclid - 1810 - Liczba stron: 554
...to the angle at F ; theix-fure the angle at F is greater than a right angle : but by the hypothesis, it is less than a right angle ; which is absurd. Therefore the singles ABC, DEF are not unequal, that is, they are Book VI. equal : and the angle at A is equal to... | |
 | Euclides - 1814 - Liczba stron: 560
...right angle: But, OF EUCLID. 157 oy the hypothesis, it is less than a right angle; which. is Koox VT absurd. Therefore the angles ABC, DEF are not unequal,...remaining angle at C is equal to the remaining angle at F : Therefore the triangle ABC ii equiangular to the triangle DEF. Next, Let each of the angles at... | |
 | Euclides - 1816 - Liczba stron: 588
...: 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 - 1819 - Liczba stron: 350
...to the angle at F ; therefore the angle at F is greater than a right angle : But by the hypothesis, it is less than a right angle ; which is absurd. Therefore...remaining angle at C is equal to the remaining angle at F : Therefore the triangle ABC is equiangular to. the triangle DEF. • Next, let each of the angles... | |
 | John Playfair - 1819 - Liczba stron: 354
...angle at F ; therefore the angle at F is greater than a right angle : But by .the hypothesis, it js less than a right angle ; which is absurd. Therefore...are not unequal, that is, they are equal : And the .ingle at A is equal to the angle at D ; wherefore the remaining angle at C is equal to the remaining... | |
 | Euclid, Robert Simson - 1821 - Liczba stron: 514
...at F; therefore the angle at F is greater than a right angle: but by the hy» See Note. o pothesis, it is less than a right angle; which is absurd. Therefore...remaining angle at C is equal to the remaining angle at F: therefore the triangle ABC is equiangular to the triangle DEF. Next, let each of the angles at C,... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...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... | |
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But by the hypothesis, it is less 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 D ; wherefore... 
