 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...has one right angle has all its angles right angles. PROPOSITION XLVII. THEOR. In any right-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC ; the square described upon the sideBC... | |
 | 1853 - 394 pagina’s
...Show that in any right-angled triangle, the square which is described upon the hypothenuse, that is, the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. When the sides of a right-angled triangle are 30 and 40, what is the hypothenuse? 29. Show that, if... | |
 | Euclides - 1853 - 176 pagina’s
...one right angle has all its angles right angles. PROPOSITION XLVII.— THEOREM. In any right-angted triangle, the square which is described upon the side...the right angle is equal to the squares described uyxm the sides which contain the right angle. Lit1 abc be a right.angled triangle having the right... | |
 | Popular educator - 1852 - 1272 pagina’s
...rectiline.il figure, and haying an angle equal to a given rectilineal angle. 9. In any right-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. 10. Find a point within a given triangle, from which lines drawn to the several angular points will... | |
 | Robert Macoy - 1855 - 460 pagina’s
...the square, and the hexagon. 2. The internal angles of a triangle are equal to two right angles. 3. In any right angled triangle, the square which is...described upon the sides which contain the right angle. Pythagoras used to deliver a most admirable lecture on the emblem of an angle of ninety degrees or... | |
 | Robert Macoy - 1855 - 566 pagina’s
...Pythagoras, is contained in the first book, and is as follows : — THEOREM. " In any right-angled triangle, the square which is described upon the side...angle, is equal to the squares described upon the sides containing the right angle." THE DEMONSTRATION. In {geometrical solutions and demonstrations of quantities,... | |
 | Euclides - 1855 - 270 pagina’s
...square which can be thus inscribed. PROP. XLVII. THEOREM. In any right-angled triangle, the square described upon the side subtending the right angle, is equal to the squares described upon the two sides, containing the right angle. Let ABС be a right-angled triangle, having the right angle... | |
 | George Oliver - 1856 - 398 pagina’s
...hexagon. 2. The internal angles of a triangle are equal to two right angles. 3. In any right-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. ignominy, and his memory will be covered with reproach. Some think that he earned the comparison beyond... | |
 | Cambridge univ, exam. papers - 1856 - 252 pagina’s
...produced, the two exterior angles are together greater than two right angles. 5. In any right-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole and each... | |
 | 1856 - 418 pagina’s
...PROBLEMS AND QUERIES. NEW GEOMETRICAL DEMONSTRATION OF THE PYTHAGOREAN THEOREM. IN any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the squares<lescribed upon the sides which contain the right angle Ceux qui font bien mériteraient seuls... | |
| |
In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
