 | Euclides - 1874 - 342 pages
...Therefore in obtuse-angled triangles, &c. QED PROPOSITION 13.— Theorem. 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 these sides,... | |
 | Henry Major - 1876 - 784 pages
...squares on PM, CM are together equal to the square on the radius. 3. 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 these sides,... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...Therefore in obtuse-angled triangles, &c. Q, ED PROPOSITION XIIL THEOREM. In every tnang'.e, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by tvtiet the rectangle contained by either of these sides,... | |
 | D. Tierney - 1877 - 126 pages
...the points of section, is equal to the square on half the line. 5. 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 these sides,... | |
 | 1878 - 632 pages
...angles; and the three interior angles of every triangle are together equal to two right angles. 2. In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing tlmt angle, by twice the rectangle contained by either of these sides,... | |
 | Āryabhaṭa - 1878 - 100 pages
...DA + 2CD.DA+sqr. AB = sqr. CD+sqr. DB+2CD.DA. Wherefore in &c. QED PBOP. xxx. THEOREM. (E. 2. 13). In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides contain' ing that angle, by twice the rectangle contained by either of these sides,... | |
 | Edwin T. Olver - 1879 - 158 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. 2. 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,... | |
 | Moffatt and Paige - 1879 - 506 pages
...Therefore, in obtuse-angled triangles, etc. QED Proposition XIII. Theorem. 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 these sides,... | |
 | Edward Harri Mathews - 1879 - 94 pages
...equal to -the squares on the two parts the given line is bisected. 3. 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 these sides,... | |
 | Joseph Wollman - 1879 - 120 pages
...sq. on the line between the points of section. QED SECTION IV. 1. 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 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... 
