| Thomas Hill - 1855 - 152 sider
...6. This Pythagorean* proposition gives us a good way of trying whether an angle is a right angle. If **the sum of the squares on two sides of a triangle is** just equal to the square on the third side, we may know that the angle opposite this third side is... | |
| William Thomas Brande, George William Cox - 1866 - 972 sider
...square on one side is equal to the sum of the squares on the other two ; according to the second, if **the sum of the squares on two sides of a triangle is equal to** the square on the third side, the triangle is right-angled. HYPOTHESIS. In Physics and Natural Science,... | |
| Euclid, Isaac Todhunter - 1867 - 424 sider
...himself the requisite figures in the cases where they are not given. 1. The tum of the squares on the **sides of a triangle •is equal to twice the square on half the** base, together with twice the square on the straight line which joins the vertex to the middle point... | |
| Euclid, Isaac Todhunter - 1867 - 426 sider
...the requisite figures in the cases where they are not given. 1. Tlie sum 'f fhe squares on the tidei **of a triangle is equal to twice the square on half the** base, together with twice the square on the straight line which joint the vertex to the middle point... | |
| Association for the improvement of geometrical teaching - 1876 - 66 sider
...is less than, equal to, or greater than, the sum of the squares on the other tsvo sides. THEOR. 12. **The sum of the squares on two sides of a triangle is** double the sum of the squares on half the base and on the line joining the vertex to the middle point... | |
| Queensland. Department of Public Instruction - 1909 - 144 sider
...given the base, the vertical angle, and the difference of the sides. 11. Prove that the difference **of the squares on two sides of a triangle is equal to twice the** rectangle rontainrd by the third side and the distance of its mid-point from the foot of the altitude... | |
| James McDowell - 1878 - 310 sider
...AC is equal to twice the rectangle under BC and DE. Q. i '.. I). 41. The sum of the squares on the **sides of a triangle is equal to twice the square on half the** base, together with twice tlie square on the bisector of base. In the figures to (40), the triangle... | |
| James Maurice Wilson - 1878 - 450 sider
...is less than, equal to, or greater than the sum of the squares on the other two sides. THEOREM 12. **The sum of the squares on two sides of a triangle is** double the sum of the squares on half the base and on the line joining the vertex to the middle point... | |
| Oxford univ, local exams - 1880 - 396 sider
...triangle, having each of the angles at the base double of the third angle. 9. The sum of the squares on the **sides of a triangle is equal to twice the square on half the** base, together with twice the square on the straight line which joins the middle point of the base... | |
| 1882 - 486 sider
...the fcot of tha perpendicular let fall from the opposite angle. This is Euclid, II. 18. 4. Prove that **the sum of the squares on two sides of a triangle is** double the sum of the squares on half the base and on the line joining the vertex to the middle point... | |
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