 | 582 pages
...the parts. Prove this algebraically as well as geometrically. 6. In every triangle the square of tlie side subtending either of the acute Angles is less than the sum of the squares ot the sides containing that angle, by twice the rectangle contained by eitliur of these sidfs and... | |
 | London univ - 1852 - 358 pages
...rectilineal figure, and having an angle equal to a given rectilineal angle. 4. In every acute-angled triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides,... | |
 | Euclides - 1853 - 146 pages
...by twice the rectangle BC, CD. Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides,... | |
 | Euclides - Geometry - 1853 - 334 pages
...squares of BC, CA by twice the rectangle BC, CE. "Which was to be proved. PEOP. XIII. THEOE. In any triangle, the square of the side subtending either of the acute angles is less than the squares of the sides including this angle, by twice the rectangle contained by either of these sides,... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides,... | |
 | Euclides - 1855 - 270 pages
...twice the rectangle BC.CD. Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM, '•j every triangle, the square of the side subtending either of the acute anglei, it less than the squares of the sides containing that angle, by twice the reel. angle contained... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...shew that the triangle ADE is equal to three times the triangle DEF. 2. In any triangle, the square on the side subtending either of the acute angles is less than the sum of the squares on the sides including this angle, by twice the rectangle contained by either of these sides, and the... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...the two parts, together with the square on the aforesaid part. 7. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle contained by either of those sides... | |
 | Euclides - 1858 - 248 pages
.... 5 = DG ; And 10- 5+^=16; then (47. I.) 400—256=144; and V144= AD as before. PROP. 13.— THEOR. In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of these... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...equal to one another, and the diameter bisects them, that is, divides them into two equal parts. 3. In every triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides... | |
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In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute... 
