| Thomas Smith Webb - Freemasonry - 1818 - 334 pages
...him ; the next day comes a frost, which * THEOREM.] In any right-angled triangle, the square which ii **described upon the side subtending the right angle, is equal to the** •quares described upon the (ides which contain the right angle. Euclid, lit. i. prop. 47. nips the... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled **triangle, the square which is described upon the side...described upon the sides which contain the right angle.** Let ABC be a right angled triangle having the right angle BAC ;. the square described upon the side... | |
| James Hardie - Freemasonry - 1819 - 364 pages
...peace." Psalm xxxvii. 37. The Forty-Seventh Problem of Euelid. The theorem is, that" in any right angled **triangle, the square, which is described upon the...described upon the sides, which contain the right angle.''** This was a discovery made by oar illustrious friend and brother, the great PYTHAGORAS, who, as it has... | |
| 1821 - 780 pages
...brother, the great philosopher Pylhagoras, had demonstrated the problem that " in any right angled **triangle, the square which is described upon the side subtending the right angle,** was equal to the squares described upon the sides which contain the right angle," he with excessive... | |
| Richard Carlile - Free thought - 1825 - 922 pages
...in all ages have studied the general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie **square which is described upon the side subtending...described Upon the sides which contain the right angle.** Euclid, lib. i. prop. 47, Erery art which is necessary for the support of authority and food government,... | |
| John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...polygon whose interior angles equal ten right angles ? 2. In any right-angled triangle, the square -when **is described upon the side subtending the right angle,...described upon the sides which contain the right angle.** 3. If E be any point in a rectangle, AE3 + ED8 = EB" + EC9. 4. Bisect the four, sides of the trapezium... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...Propoíifion XL FT/. Theorem, In any right-angled triangle, the square which is described upon the ¿de **subtending the right angle, is equal to the squares...described upon the sides which contain the right angle.** Let ABC be a right-angled triangle having the right angle, ВАС ; the square described upon the side... | |
| Euclid - 1826 - 236 pages
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square **described upon the side subtending the right angle is equal to the squares described** on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle... | |
| Euclides - 1826 - 226 pages
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square **described upon the side subtending the right angle is equal to the squares described** on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...angles right angles. .f PROP. XLVII. THEOR, In any right angled triangle, the square whieh is deseribed **upon the side subtending the right angle, is equal to the squares** deseribed upon the sides whieh eontain the right angle. Let ABC he a right angled triangle having the... | |
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