 | Robert Simson - 1806 - 546 σελίδες
...; 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... | |
 | Euclides - 1814 - 560 σελίδες
...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 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 - 588 σελίδες
...: 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 - 354 σελίδες
...greater than a right angle : But by .the hypothesis, it js less than a right angle ; which is absurd. Therefore the angles ABC, DEF 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... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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 - 276 σελίδες
...is greater than a right angle. But, by supposition, it is less than a right angle, which is absurd. Therefore, the angles ABC, DEF are not unequal, that...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... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...by the hypothesis, it is less than aright angle; whieh is absurd. Therefore the angles ABC, D .:iF are not unequal, that is, they are equal : And the...the remaining angle at C is equal to the remaining (Ingle atF: Therefore the triangle ABC is equiangular to the triangle DEF. Next, let eaeh of the angles... | |
 | Euclides - 1826 - 226 σελίδες
...unequal to the angle DEF, that is, it is equal. But the angle at A is equal to the angle at o, therefore the remaining angle at c is equal to the remaining angle at F ; hence the triangle ABC is equiangular to the triangle DEF. If, therefore, two triangles, Scc. QED... | |
 | Robert Simson - 1827 - 546 σελίδες
...greater than a right angle : but, by the hypothes1s, 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 f to the t Hyp. angle at D ; wherefore the remaining angle at C is equal -)- to the remaining angle... | |
 | Euclides - 1834 - 518 σελίδες
...greater than a right angle : 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 t to the angle at D ; wherefore the remaining angle at f Hyp. C is equal t to the remaining angle at... | |
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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... 
