 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
 | Adrien Marie Legendre - Geometry - 1838 - 372 pages
...PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. • Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall... | |
 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...degrees, and 4=90 degrees. 10. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled triangle, right angled at C, then will the square D described on AB... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...it makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal to the sum of the squares described on the other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 110 pages
...PROP. VII. THEOREM. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle be Fig. 64. KDI, right angled at I. Describe squares on KD, KI, DI ; then we have... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...BC^AB'-f-AC". Therefore, The square described on the hypolhcnuse of a right-angled triangle, is equivalent to the sum of the squares described on the other two sides. Cor. 1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent... | |
 | John Smith (of Malton.) - 1845 - 456 pages
...Haller, Ritson (celebrated for his numerous works and splendid talents), Dr. Cheyne, •"The square on the hypothenuse of any right-angled triangle, is equal to the sum of the two squares on the base ami perpendicular.'* t METAMORPHOSES B. XV. L. 101. Dr. Lambe, Mr. Newton... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...right-angled triangle equal to ? In every right-angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a rightangled triangle, right-angled at C, then will the square D, described on AB,... | |
 | James Bates Thomson - Arithmetic - 1846 - 354 pages
...principle in geometry, that the square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. (Leg. IV. 11. Euc. I. 47.) Thus if the base of the triangle ABC is 4 feet, and the perpendicular 3... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...perpendicular AC, contain as many square feet as the square described on the hypothenuse BC. Now (4)»+(3)<!=25 sq. ft. ; and the square described on BC also contains 25 sq. ft. Hence, the square described on the hypotheimse of any right-angled triangle, is equal to the sum of tke squares described on the other... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
