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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 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...KLM : therefore the five angles GHK, HKL, KLM, LMG, M GH being equal to one another, the pentagon GHKLM is equiangular : and it is equilateral, as was...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...angle HKL is equal to KLM ; and in like manner it maybe shewn, that each of the angles KI1G, 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 it is equilateral as was demonstra...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...demonstrated, the angle HKL is equal to KLM ; (ax. 6) and in like manner, it may be shown 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, therefore the pentagon CBKX.AI Is equiangular, and it is equilateral, as was demonstrated...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...the angle HKL is equal to the angle KLM. (ax. 6.) 31. In the same manner it may be shown that each of the angles KHG. HGM, GML, is equal to the angle HKL or KLM; 33. And it has beeu shown to be equilateral. Conclusion. — Therefore, about the given circle a regular...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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...KLM : therefore the five angles GHK, HKL, KLM, LMG, HGH being equal to one another, the pentagon GHKLM is equiangular : and it is equilateral, as was demonstrated;...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 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...HKL or KLM: therefore the five angles GHK, HKL, KLM, LMO, MGH being equal to one another, the pentagon GHKLM is equiangular : and it is equilateral, as...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...demonstrated, the angle HKL is equal to KLM ; (ax. 6) and in like manner, it may be shown 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, therefore the pentagon OHKXiDX is equiangular, and it is equilateral, as was demonstrated...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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 - 1867 - 424 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 .«» equilateral...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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...KLM: therefore the five angles GHK, HKL, KLM, LMG, MGHbeiag equal to one another, the pentagon GHKLM is equiangular : and it is equilateral, as was demonstrated;...
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