 | George Lees - 1826 - 276 pages
...another as the squares of their corresponding sides. Cor- 2. The rectilineal figure described upon the hypothenuse of a right-angled triangle, is equivalent to the sum of the similar rectilineal figures described upon the sides containing the right angle. i •;.•_,, PROP.... | |
 | James Hayward - Geometry - 1829 - 218 pages
...- ; and multiplying both sides by a, we have a2 = 62 -f- c8, that is — The square described upon the hypothenuse of a right-angled triangle, is equivalent to the sum of the squares described upon the other two sides. 173. We may demonstrate this truth from the areas immediately,... | |
 | Charles Davies - Logic - 1850 - 402 pages
...class will be common to every indi- todlT * du- vidnal of the class. For example : " the square Eumpt*. on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides," is a proposition equally true of every right-angled triangle : and... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...equivalent to the algebraical formula, (a+b)x(ab)=o?-b*. PROPOSITION XI. THEOEEM. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the two other sides. Let BCA be a right-angled triangle, right-angled at A : then will... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...This property is expressed by the algebraical formula, 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 BCA be a right•angled triangle, right•angled at A : then... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...Also, the line BC, being perpendicular to the base, is the altitude. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...Also, the line BC, being perpendicular to the base, is the altitude. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...line BC, being perpendicular to the base, is ^ the altitude. Bs»e. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. V Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and... | |
 | William Wirt Howe - 1859 - 324 pages
...four make eleven ; or the Office-holders should drink confusion to the fact 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 ; or the able Editors should denounce the incoming flow of a spring... | |
 | Education - 1862 - 752 pages
...that enunciation. — The area of a triangle is measured l>y half of the product of the base by tho height. To transform any polygon into an equivalent...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... | |
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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. 
