 | William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...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 ВАС ; the square, described upon the side BC, is equal to the squares described upon BA, AC ; that... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...right angles. PROP. XLVII. THEOR. ' 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. Let ABC be a right angled triangle having the right angle... | |
 | Z. A. Davis - Freemasonry - 1843 - 408 pages
...friend and b-other, * THEOREM.] — 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. — Euclid, lib. i. prop. 47. the great Pythagoras, who,... | |
 | 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...angles. PROPOSITION XL VII. THEOR. — 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. Let ABC be a right-angled triangle having the right angle... | |
 | Euclides - 1845 - 546 pages
...angles. PROPOSITION XLVII. THEOREM. 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. Let ABC be a right-angled triangle, having the right... | |
 | London univ - 1846 - 326 pages
....parallelogram are equal. 8. In any right-angled triangle, prove that 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. described upon the two sides are together equivalent... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...right angles. PROP. XLVII. THEOR. 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. Let ABC be a right angled triangle having the right angle... | |
 | Euclides - 1846 - 292 pages
...right angles. PROP. XLVII. THEOR. 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. Let ABC be a right-angled triangle having the right angle... | |
 | Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. II. 2. Em. II. 10.) THEOREM VH. Let ABC be a right-angled triangle, having the right angle BAC; the square of the side BC is equal to the sum of the squares of the sides AB, A C. (Euc. I. 47. Simp. II. 8. Em.... | |
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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. 
