 | John Keill - 1723 - Liczba stron: 444
...the Angle at A is one half of the Angle BGC; and the Angle at D one half of the Angle EHF. Therefore the Angle at A is equal to the Angle at D. Wherefore Angles, that ftand upon equal Circumferences in equal Circles•, are equal to each other, whether... | |
 | Euclid, John Keill - 1733 - Liczba stron: 444
...the Angle at A is one half of the Angle BGC; and the Angle at D one half of the Angle EHF. Therefore the Angle at A is equal to the Angle at D. Wherefore Angles, that ft and upon equal Circumferences in equal Circles, are equal to each other, whether they... | |
 | Robert Simson - 1762 - Liczba stron: 488
...than a right angle ; which is abfurd. 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 ; Book VI. wherefore the remaining angle at C is equal to the remaining angle at F. therefore the triangle... | |
 | Euclid - 1765 - Liczba stron: 492
...is abfurd: "Therefore the angle ABC is not unequal to the angle DEF ; they are therefore equal. But the angle at A is equal to the angle at D ; wherefore...equal to the remaining angle at F : Therefore the triangles ABc, DEF are equiangular. Again, let us fuppofe each of the angles c, F to be not iels than... | |
 | Euclid - 1781 - Liczba stron: 552
...it : And the angle A is half of the angle BGC, and the angle at D half of the angle EliF : Therefore the angle at A is equal to the angle at D Wherefore, in equal circles, &e. Q. E D. PROP. .1. i PROP. XXVIII. THEO R. Book in. "IN equal circles, equal ftraight... | |
 | Robert Simson - 1781 - Liczba stron: 534
...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. ( ED _J Book I II. PROP. XXVIH. THEO R. IN equal circles, equal ftraight lines... | |
 | Euclid, James Williamson - 1781 - Liczba stron: 324
...and the angle at A is half of the angle BGC ; and the angle at D is half of the angle EHF : wherefore the angle at A is equal to the angle at D. Wherefore in equal circles, the angles which ftand upon equal cir- Book in. cumferences are equal to one another... | |
 | Euclid, John Playfair - 1795 - Liczba stron: 462
...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. QED PROP. XXVIII. THE OR. TN equal circles, equal ftraight lines cut off equal... | |
 | Alexander Ingram - 1799 - Liczba stron: 374
...i7- 1• h i3. i. BooK VI. Therefore the angles ABC, DEF are not unequal, that is, \~s*,T>*J they are equal; and the angle at A is equal to the angle at D • therefore the remaining angle at C is equal to the remaining angle at F : Wherefore the triangle... | |
 | John Playfair, Euclid - 1804 - Liczba stron: 468
...than a right angle; which is abfurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at...the remaining angle at F : "Therefore the triangle ARC is equiangular to the triangle DEF. Next, let each of the angles at C, F be not lefs than a righ;... | |
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D ; wherefore the remaining angle at C is equal to the remaining angle at F ; Therefore the triangle ABC is equiangular to the triangle DEF. 
