 | War office - 1861 - 260 σελίδες
...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 σελίδες
...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 - 1863 - 316 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1867 - 474 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1873 - 588 σελίδες
...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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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... 
