 | Joseph Ray - 1857 - 348 sider
...BC the perpendicular, and A 0 the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is the rule for sqnaro root? NOTES. Flow... | |
 | Euclides - 1858 - 248 sider
...same altitude as a triangle, is double of the triangle : and Prop. 47 demonstrating that the square on the hypotenuse *of a right-angled triangle, is equal to the sum of the squares on the base and perpendicular. The second book treats of the properties of RIGHT-ANGLED... | |
 | David Price - 1858 - 264 sider
...of the base by the perpendicular, and divide the product by 2 for the area. NOTK.— The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. EXAMPLES. 22. Find the area of a triangle whose base is 10 feet,... | |
 | John M. Gregory - 1859 - 438 sider
...the truth,of what is popularly known as the Carpenter's Theorem, to wit: The square described upon the hypotenuse of a right-angled triangle is equal to the sum of the squares described upon thel other two sides. Although not a demonstration, it will carry with it... | |
 | Chambers W. and R., ltd - 1859 - 344 sider
...another 3 feet, then — the first circle : the second : : 2* : 3r, or as 4 : 9. II. 'ТнЕ SQUARE OP THE HYPOTENUSE of a right-angled triangle is equal to the sum of the squares of the base and perpendicular.' In the annexed diagram, AC is the hypotenuse, AB the base,... | |
 | Horatio Nelson Robinson - 1859 - 348 sider
...by the use of the two following principles, which are demonstrated in geometry. 1st. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of... | |
 | Horatio Nelson Robinson - 1860 - 444 sider
...triangle, and one on DF, -which is equal to the perpendicular of the triangle. Hence, The square of the hypotenuse of a right-angled triangle is equal to the sum of flie. squares of the other two sides. From this property we derive the following RULE. I. To find the... | |
 | Emerson Elbridge White - 1861 - 348 sider
...called the base and perpendicular. Perpendicular. Base. It is an established theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. The annexed figure illustrates this theorem and the following rules.... | |
 | Isaac Todhunter - 1864 - 298 sider
...respect to the preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides ; and it is known that the geometrical square described upon any... | |
 | McGill University - 1865 - 332 sider
...radius being r. 5. The equilateral triangle described on the hypotenuse of a right angled triangle is equal to the sum of the equilateral triangles described on the sides. 6. Find the greatest common measure of 61* —а г x г — I2x* and 9a* + 12а 3 ж ! — 6a s r... | |
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Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. 
