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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. "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Page 165
by Robert Simson - 1775 - 520 pages
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal. Now the angle at A is equal to the angle at D ; wherefore...triangle DEF. Next, let each of the angles at C, F be not less than a right angle ; the triangle ^BC is also, in this case, equiangu-> lar to the triangle DEF....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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...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 ...

Euclides - 1814
...which. is Koox VT 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...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...: 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...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...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 Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...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. q.-ED PROP. XXVIII. THEOK. In equal circles, equal straight lines cut off' equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 516 pages
...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...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...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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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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...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...
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