| John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides **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 BAC ; the square, described upon the side... | |
| Euclides - 1842 - 320 pages
...right-angled triangle, the square which __ described upon the side subtending the right angle, is equivalent **to the squares 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 вc... | |
| Z. A. Davis - Freemasonry - 1843 - 406 pages
...FORTY-SEVENTH PROBLEM OF EUCLID.* This was an invention of our ancient friend and b-other, * THEOREM.] — **In any right-angled triangle, the square which is...described upon the sides which contain the right angle.** — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels through Asia, Africa and Europe,... | |
| William Pease - Geometry - 1843 - 80 pages
...line from A to C, when AC shall be the side of a square equal to the two given squares. Reason : " **In any right-angled triangle, the square which is described upon the side subtending the** right-angle, is equal to the squares described upon the sides which contain the right angle." If a... | |
| Euclides - 1845 - 544 pages
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. **In any right-angled triangle, the square which is...described upon the sides which contain the right angle.** Let ABC be a right-angled triangle, having the right angle BAC. Then the square described upon the... | |
| Euclid - Geometry - 1845 - 218 pages
...parallelogram that has one right angle has all its angles right angles. PROPOSITION XL VII. THEOR. — **In any right-angled triangle, the square which is...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... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...THEOR. — In any right-angled triangle, the square which is described upon the hypotenuse, that is, **the side subtending the right angle, is equal to the...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 hypotenuse... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 332 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... | |
| London univ - 1846 - 326 pages
...are about the diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that **the square which is described upon the side subtending...described upon the sides which contain the right angle.** described upon the two sides are together equivalent to a parallelogram described upon the base, and... | |
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