 | 1853 - 394 sider
...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 sider
...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 sider
...parallelogram equal to a given 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 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 sider
...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...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 sider
...Euclid, which is attributed to Pythagoras, is contained in the first book, and is as follows : — THEOREM. " In any right-angled triangle, the square...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 sider
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 sider
...of any triangle be 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 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... | |
 | George Oliver - 1856 - 398 sider
...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. ignominy, and his memory will be covered with reproach. Some think that he earned the comparison beyond... | |
 | 1856 - 418 sider
...palliatif.— Lieu. SOLUTIONS OF PROBLEMS AND QUERIES. NEW GEOMETRICAL DEMONSTRATION OF THE PYTHAGOREAN THEOREM. IN any right-angled triangle, the square...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... | |
 | Euclides - 1856 - 168 sider
...47. In any right angled triangle the square which is described on the hypothenuse, or side opposite the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC (Fig. 36) be a right angled triangle having the right angle BAC ; the square described on the... | |
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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. 
