 | Euclides - 1853 - 146 pages
...all its angles right angles. PROP. XLVII. — THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle,...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
...angles right angles. PROPOSITION XLVII.— THEOREM. In any right-angted triangle, the square which is described upon the side subtending 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... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 522 pages
...triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts,... | |
 | Popular educator - 1852 - 1272 pages
...haying an angle equal to a given rectilineal angle. 9. In any right-angled triangle, the square which is described upon the side subtending the right angle,...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
...angles of a triangle are equal to two right angles. 3. In any right angled triangle, the square which is described, upon the side subtending the right angle,...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
...in the first book, and is as follows : — THEOREM. " 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 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...angles are together greater than two right angles. 5. In any right-angled triangle, the square which is described upon the side subtending the right angle,...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
...angles of a triangle are equal to two right angles. 3. In any right-angled triangle, the square which is described upon the side subtending the right angle,...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... | |
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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. 
