 | Thomas Fisher - Mathematics - 1854 - 156 pages
...proposition of the first book of Euclid, viz : that the square described upon the hypothenuse is equal to the sum of the squares described upon the other two sides ja demonstration «>f the highest importance, from the very numerous- applications it finds in every... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...their difference is less than the third. The square described upon the hypothenuse of a right angled triangle, is equivalent to the sum of the squares described upon the other two side«. The second kind of relation is that of proportionality, and it is reached by the process of... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...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 the perpendicular BC 3 feet, then 5*... | |
 | Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...their difference is less than the third. The square described upon the hypothcnuse of a right angled triangle, is equivalent to the sum of the squares described upon the other two sides. The second kind of relation is that of proportionality, and it is reached by the process of comparison... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...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 the perpendicular BC a feet, then... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...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 the perpendicular BC 3 feet, then 5'-... | |
 | Educational law and legislation - 1859 - 434 pages
...Carpenter's Theorem, to wit: The square described upon the hypotemise of a right-angled triangle is equal to the sum of the squares described upon the other two sides. Although not a demonstration, it will carry with it a clear conviction .to many minds, and will be... | |
 | Benjamin Peirce - Geometry - 1865 - 184 pages
...altitude by the line joining the middle points of the sides which are not parallel. >v 256. Theorem. The square described upon the hypothenuse of a right...is equivalent to the sum of the squares described upon'the other two sides. Proof. Let squares be constructed upon the three sides of the right triangle... | |
 | 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... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
