| Insurance - 1853 - 394 pages
...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 pages
...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 - 1854 - 1274 pages
...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 - Freemasons - 1855 - 460 pages
...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 - Freemasons - 1855 - 566 pages
...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 - 262 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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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