| War office - 1861 - 260 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 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 those sides... | |
| Woolwich roy. military acad - 1861 - 572 pages
...a quadrilateral figure are all equal, shew that the diagonals bisect each other at right angles. 8. 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... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 11. 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 - 1864 - 262 pages
...Therefore in obtuse-angled triangles, &c. 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,... | |
| Euclides - 1864 - 448 pages
...Therefore in obtuse-angled triangles, &c. 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,... | |
| Euclides - 1865 - 402 pages
...twice the rectangle BC, CD. Wherefore, 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 those sides,... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...XXXVI. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides by twice the rectangle of the base and the distance of the perpendicular from the obtuse angle. Let ABC be a triangle obtuse... | |
| Robert Potts - 1868 - 434 pages
...Therefore in obtuse-angled triangles, &c. QED PROPOSITION XIII. THEOREM. Jn 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 twicp, the rectangle contained by either of these sides,... | |
| Euclides - 1870 - 270 pages
...And 10.5 + ^- = 16 ; then (47. I.) 400 - 256 = 144 ; and *JUi = AD as 31 before. PROP. 13. — THEOB. In every triangle, the square of the side subtending either of the acme angles is less than the squares of the sides containing that acute angle by twice the rectangle... | |
| Henry Major - Student teachers - 1873 - 580 pages
...is, the square of BA is greater than the squares of BC, CA, by twice the rectangle BC, CD. XIII. — 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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