 | 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...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... | |
 | 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... | |
 | Z. A. Davis - Freemasonry - 1843 - 408 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...angle, is equal to the squares described upon the sides which contain the right angle. — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels... | |
 | 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 - 546 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...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. Then... | |
 | 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...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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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...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... | |
 | 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...angle is equal to the squares described upon the sides which contain the right angle. described upon the two sides are together equivalent to a parallelogram... | |
 | Euclides - 1846 - 292 pages
...extreme and mean ratio in CQEF PROP. XXXI. THEOR. In any right-angled triangle, any rectilineal figure described upon the side subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled... | |
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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. 
