| 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:... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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