 | Euclides - Geometry - 1853 - 334 pages
...BDEC is equal to the two squares GB, HC ; that is, the square described on the side BC, opposite to the right angle, is equal to the squares described on the sides AB, AC, including the right angle. Which was to be proved. PEOP. XLVIII. THEOE. If the square described... | |
 | 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 squares described upon the sides which contain the right angle. When the sides of a right-angled triangle are 30 and... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angles. PROPOSITION XLVII. THEOR. 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. Let ABC be a right-angled triangle having the right angle... | |
 | Popular educator - 1852 - 1272 pages
...equal to a given rectilineal angle. 9. 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. 10. Find a point within a given triangle, from which... | |
 | Euclides - 1855 - 270 pages
...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... | |
 | Robert Macoy - Freemasons - 1855 - 566 pages
...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... | |
 | William Pease - 1856 - 108 pages
...given squares, and so on, for any number. REASON : " In any right-angled triangle, the square which is described on the side subtending the right angle, is equal to the squares described upon tlie sides which contain the right angle." (Euclid, Book I. Prop. 47.) Note. — Any similar figures... | |
 | Euclides - 1856 - 168 pages
...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 side BC is equal to the squares described upon BA, A C. Let BDEC be the square described on BC ; GB, HC the... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...greater than two right angles. 5. 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. 6. If a straight line be divided into any two parts,... | |
 | George Oliver - 1856 - 398 pages
...are equal to two right angles. 3. 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. ignominy, and his memory will be covered with reproach.... | |
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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. 
