 | Cambridge univ, exam. papers - 1856 - 200 pages
...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 and the straight line intercepted between the perpendicular let... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...changes it into one which is right-angle 1. THEOREM XL I. In any triangle, the square on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the rectangle contained by either of these sides, and the distance from the... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...THEOREM. In every triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the... | |
 | Euclides - 1860 - 288 pages
...THEOREM. In every triangle, the square on the side subtending any 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, and the straight line intercepted between the perpendicular let... | |
 | Euclides - 1862 - 140 pages
...Conclusion. — Therefore, in obtuse-angled triangles, &c. QED PROPOSITION 13.— THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides,... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...contained by the whole and that part, together with the square on the other part. 9. In any triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by. twice the rectangle contained by either of these sides,... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...can they be placed in a row with white and black balls standing alternately 1 9. In every triangle the square on the side subtending an acute angle 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
...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, and the straight line intercepted between the acute angle and the... | |
 | Euclides - 1865 - 402 pages
...12. 2. 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...the rectangle under either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite... | |
 | Robert Potts - 1865 - 528 pages
...THEOREM. In every triangle, the square on the side subtending eitJter of the acate angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the... | |
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In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let... 
