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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 ... - Pągina 112
per Euclid, John Keill - 1733 - 397 pągines
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pągines
...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, ae was demonstrated...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pągines
...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 anglea GHK, HKL, KLM, LMG, MGH being equal to one another, the pentagon GHKLM is equiangular : and...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pągines
...was 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: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 pągines
...before demonstrated, the angle HKL is equal to KLM : and in like manner it may be shown, that eaeh of the angles KHG, HGM, GM-L- 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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pągines
...manner it may be demonstrated that each of the angles KHG, HGM, GML, is 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. But it has been shown to be equilateral,...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pągines
...manner it may be demonstrated that each of the angles KHG, HGM, GML, is 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. But it has been shown to be equilateral,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pągines
...demonstrated, therefore the angle HKL is equal-fto 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: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pągines
...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 Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pągines
...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 fire angles GHK, HKL, KLM, LMG, MGH, being equal to one another, the pentagon GHKLM is equiangular...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pągines
...demonstrated ; therefore the angle HKL is equalf 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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