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" And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH... "
Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ... - Page 112
by Euclid, John Keill - 1733 - 397 pages
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...therefore 1. The angle HKL is equal to KLM (Ax. 6). and in like manner it may be shown, that 2. Each of the angles KHG, HGM, GML is equal to the angle...therefore the five angles GHK, HKL, KLM, LMG, MGH being equal to one another, 3. The pentagon GHKLM is equiangular ; and it is equilateral, as was demonstrated...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...demonstrated; therefore the angle UKL is equal to KLM: (ax. 6.) and in like manner it may be shewn, that each of the angles KHG, HGM, GML is equal to the angle...therefore the five angles GHK, HKL, KLM, LMG, MGH being equal to one another, • the pentagon GHKLM is equiangular : and it is equilateral, as was demonstrated;...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...therefore the angle HKL is equal to the angle KLM. [Axiom 6. In the same manner it may be shewn that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the pentagon GHKLM is equiangular. And it has been shewn to be equilateral. Wherefore an equilateral and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...therefore the angle HKL is equal to the angle KLM. [Axwm 6. In the same manner it may be shewn that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM; therefore the pentagon GHKLM is equiangular. And it has been shewn to be equilateral. Wherefore an equilateral and...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...KLM. Similarly each of the angles KHG, HGM, GML can also be proved equal to each of the angles HKL, KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH are equal to one another. Therefore the pentagon GHKLM is equiangular. And it was also proved equilateral ; and...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...KLM. Similarly each of the angles KHG, HGM, GML can also be proved equal to each of the angles HKL, KLM; therefore the five angles GHK, HKL, KLM, LMG, MGH are equal to one another. Therefore the pentagon GHKLM is equiangular. And it was also proved equilateral ; and...
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