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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 ... - Pagina 165
di Robert Simson - 1775 - 520 pagine
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...at A is equalt to the angle at D : wheretssPi. fore the remaining angle at C is equalt to the c"i remaining angle at F : therefore the triangle ABC...triangle DEF. Next, let each of the angles at C, F be not less than a right angle : the triangle ABC shall also in this case be equiangular to the triangle DEF....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 pagine
...: 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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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pagine
...at * 20. s. A is half* of the angle BGC, and the angle at D half * 7 Ax. 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 - 1842 - 317 pagine
...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...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 geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...the angle at A (20. 3.) 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 - 1844 - 317 pagine
...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...the triangle ABC is equiangular to the triangle DEF. wherefore (4. 6.), AB : BG :: DE : EF; but, by hypothesis, DE : EF :: AB : BC, therefore, AB : BC :...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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 : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (i. 32.) therefore...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagine
...: 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 PROPOSITION XXVIII. THEOB. — In equal circles, equal straight lines cut...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagine
...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...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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...the angle at A is half of the angle BGC, aad the angle at D half of the angle EHF ; therefore also the angle at A is equal to the angle at D. Wherefore, In equal circles c. QED PROP. XXVIII. In equal circles, equal straight lines cut off equal circumferences,...
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