 | 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... | |
 | Z. A. Davis - Freemasonry - 1843 - 408 pages
...rest. THE FORTY-SEVENTH PROBLEM OF EUCLID.* This was an invention of our ancient friend and b-other, * THEOREM.] — In any right-angled triangle, the square...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 - 546 pages
...Hence, every parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square...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... | |
 | 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...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... | |
 | 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... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...AE : : AE : EB, &c., as above (p. 17, 6). 31 Th. In right angled triangles, the rectilineal figure described upon the side subtending the right angle, is equal to the figures similar to it, described upon the sides containing the same angle. Given the triangle ABC,... | |
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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. 
