 | Education - 1850 - 488 pages
...angles; and the three interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. SECTION III. 1. If a straight line be divided into any two parts, the rectangles contained by the whole... | |
 | Great Britain. Committee on Education - 1850 - 942 pages
...are together greater than the third side. 9. Prove Euc. I. 48. If the square described upon one side of a triangle be equal to the squares described upon the other two sides, the angle contained by those two sides is a right angle. 10. The sum of the diagonals of any quadrilateral... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...exterior angle is greater than either of the two interior opposite angles. 3. If a square described on one of the sides of a triangle be equal to the squares described on the other two sides of it ; the angle contained by those two sides is a right angle. Section 2.... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...are together greater than the third tide. 9. Prove Kuc. I. 48. If the square described upon one side of a triangle be equal to the squares described upon the other two tides, the angle contained by those two sides is a right angle. 10. The sum of the diagonals of any... | |
 | 1867 - 336 pages
...angles equal to a given rectilineal mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one of the sides of a triangle be equal to the squarea described upon the other two sides of it ; the angle contained by these two sides is ,t right... | |
 | Euclides - 1852 - 152 pages
...squares upon the sides BA, AC. Therefore, in any right,angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a...to the squares described upon the other two sides ofit; the angle contained by these two sides is a right angle. If the square described upon BC, one... | |
 | Euclides - 1852 - 48 pages
...extract the square root of the difference. PEOP. XLVIII. THEOH. If the square described upon one side of a triangle be equal to the squares described upon the other two sides, the angle opposite to that side is a right angle. In the triangle ABC, let the square of AC be equal... | |
 | Euclides - Geometry - 1853 - 176 pages
...squares upon the sides ba, a С. Therefore, in any rightangled triangle, &c. QED PEOPOSITION XL VIII. — THEOREM. If the square described upon one of the sides...angle contained by these two sides is a right angle. IF the square described upon b С, one of the sides of the triangle ab С, be equal to the squares... | |
 | Euclides - 1853 - 146 pages
...the squares upon the sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. — THEOREM. If the square described upon one of the sides...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...upon the sides BA, AC. Therefore, in any right-angled triangle, etc. QED PROPOSITION XLVIII. THEOR. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
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IF the square described upon one of 'the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. 
