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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. Next, let each of the angles at C, F be not less than a right angle ; the triangle ABC is also, in this case,... "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 157
av Robert Simson - 1804
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...less than aright angle; whieh is absurd. Therefore the angles ABC, D .:iF are not unequal, that is, they are equal : And the angle at A is equal to 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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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 at F: therefore the ^32.t.& triangle ABC is equiangular to the triangle DEF. 3 Ax. Next, let each of the angles at C, F...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 sider
...the angles ABC, Book vI. DEF are not unequal, that is, they are equal ; and the angle v•— v™-' at A is equal to the angle at D ; wherefore the remaining...triangle 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...to it : and the angle at A is half the angle BGC, and the angle at D half 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 sider
...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 ; wnerefore the remaining angle at C is equal to the remaining angle at F : Therefore the triangle...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...: 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. XIX. THEOR. In equal circles, equal straight lines cut off equal circumferences,...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 sider
...equal to DE. Then, if GC were drawn, the sides AG, AC would be respectively equal to the sides DE, DF; and the angle at A is equal to the angle at D. Therefore, on this supposition, the angle GCA would be equal to EFD by ART. Ji; and consequently to...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...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...triangle 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....
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...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...therefore the triangle ABC is equiangular to the triangle DEP. Next, let each of the angles at O, F, be not less than a right angle ; the triangle ABC is also...
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