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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; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...demonstrated, the angle • 6 Ax. H KL is equal * to KLM: and in like manner it may be proved that each of the angles KHG, HGM, GML is equal to the angle...the five angles GHK, HKL, KLM, LMG, MGH are equal to one another, and therefore the pentagon GHKLM is equiangular: and it was demonstrated to be equilateral:...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...before demonstrated, the angle HKL is equal to KLM ; 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...was before demonstrated, the angle HKL is equal to KLM. 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 G н к, HKL, к L м, L м G, JIGH, being equal to one another, the pentagon GHKLM is equiangular...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...demonstrated; therefore the angle HKL 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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...was before demonstrated, the angle HKL is equal to KLM : And in like manner it may be shown 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...before demonstrated, the angle HKL is equal to KLM ; 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, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...therefore the angle HKL is equal to the angle KLM : And, in like 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 about the given...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...demonstrated, (Ax. 6.) 1. The angle HKL is equal to KLM. 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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...was before demonstrated, the angle HKL is equal to KLM : 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 the five angles GHK, HKL, KLM, LMG, MGH, being equal to one another, the pentagon GHKLM is equiangular...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...angle HKL is equal to KLM ; and in like manner it may be shewn, that each of the angles KHG, IIGM, GML is equal to the angle HKL or KLM ; therefore the five angles-GHK, HKL, KLM, LMG, MGH being equal to one another, the pentagon GHKLM is equiangular ; and...
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