 | Henry Barnard - Military education - 1862 - 410 pages
...a triangle is measured "by half of the product of the base by the height. The square constructed on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares constructed on the other two sides.—The squares constructed on the two sides of the right angle of... | |
 | Education - 1862 - 752 pages
...area of a polygon. — Measure of the area of a trapczoid. The square constructed on the hypothcnuse of a right-angled triangle is equivalent to the sum of the squares constructed OIL the other two sides. — The squares constructed on the two sides of the right angle... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...formula, (a + ft) X (a — by = a2 — b\ PROPOSITION XI. — THEOREM. 237. 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 ABC be a right-angled triangle, having the right angle at A ; then the... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...altitude. Hence, the area of a trapezoid, etc. THEOREM XIX. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. H Let ABC be a triangle right-angled at B. It is to be proved that the square... | |
 | James Pyle Wickersham - Education - 1865 - 504 pages
...is half the parallelogram which has the same base and the same altitude;" "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 ;" &c., &c. A well-graded course of instruction of this kind, if judiciously... | |
 | James Pyle Wickersham - Education - 1865 - 504 pages
...is half the parallelogram which has the same base and the same altitude;" "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;" &c., &c. A well-graded course of instruction of this kind, if judiciously... | |
 | Leland A. Webster - Sociology - 1866 - 372 pages
...could the square described upon the hypothenuse of a right-angled triangle be otherwise than precisely equivalent to the sum of the squares described upon the other two sides. The integral and differential calculus of this mathematics, however, as manifested in the complex activities... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...formula, (a + b) X (a — 6) = a2 — b\ PROPOSITION XI. — THEOREM. 237. 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 ABC be a right-angled triangle, having the right angle at A ; then the... | |
 | Robert Milligan - Apologetics - 1868 - 456 pages
...practice of mankind. The mechanic does not think it necessary, to prove that 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, every time that he attempts to square a building. It is enough for him to know... | |
| |
The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. 
