 | Euclid, Thomas Tate - 1849 - 120 pages
...Therefore, in any right angled triangle, &c. QED . PROP. XLVm. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares...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... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal 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... | |
 | Education - 1850 - 488 pages
...interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle be equal to the squares...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... | |
 | 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... | |
 | 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.... | |
 | 1867 - 336 pages
...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 angle. If two sides of a triangle be given, the triangle will be greatest when t lny contain... | |
 | Euclides - 1852 - 152 pages
...Therefore, in any right,angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...Therefore, in any right-angled triangle, etc. QED PROPOSITION XLVIII. THEOR. If the square described upon one of the sides of a triangle be equal to the squares...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. 
