 | Euclides - 1853 - 146 pages
...every parallelogram that has one right angle has all its angles right angles. PROP. XLVII. — THEOREM. In any right-angled triangle, the square which is...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC; the square described upou the side BCis... | |
 | 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 - Geometry - 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 - 1852 - 1272 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
...which is attributed to Pythagoras, is contained in the first book, and is as follows : — THEOREM. " In any right-angled triangle, the square which is...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 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... | |
 | 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... | |
 | 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... | |
 | 1856 - 418 pages
...Lieu. SOLUTIONS OF PROBLEMS AND QUERIES. NEW GEOMETRICAL DEMONSTRATION OF THE PYTHAGOREAN THEOREM. IN any right-angled triangle, the square which is...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... | |
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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. 
