 | David Price - 1858 - 252 σελίδες
...Multiply the length 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,... | |
 | Horatio Nelson Robinson - 1859 - 336 σελίδες
...may be solved 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... | |
 | John M. Gregory - 1859 - 448 σελίδες
...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
...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 - 1860 - 432 σελίδες
...tho base of the 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 - 332 σελίδες
...sides are 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 - 279 σελίδες
...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... | |
 | James McCosh - 1865 - 448 σελίδες
...Csesar lived, or that Jesus Christ died and rose again, or those by which we come to be assured that the square of the hypotenuse of a right-angled triangle is equal to the square of the other two sides. But in all such regressions we must at last come back to something... | |
 | 1866
...Emmaretta Williams, who demonstrated the beautiful I'ythagor'ean theorem, "The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides." Miss Lizzie Trull and Mr, Allison also deserve especial... | |
 | Isaac Todhunter - 1866 - 192 σελίδες
...demonstration 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 on any straight... | |
| |
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. 
