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Βιβλία Βιβλία 21 - 30 από 67 για D ; wherefore the remaining angle at C is equal to the remaining angle at F ; Therefore....
" 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 ... - Σελίδα 157
των Robert Simson - 1804
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 σελίδες
...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...

Euclid's Elements of geometry, transl. To which are added ..., Βιβλία 1-6

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...

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

Robert Simson - 1827 - 513 σελίδες
...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...

The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 σελίδες
...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...

The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 σελίδες
...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...

The Element of Geometry

John Playfair - 1836 - 114 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. XIX. THEOR. In equal circles, equal straight lines cut off equal circumferences,...

A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 σελίδες
...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....

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...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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