 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...of a triangle bisect one of the other sides, it will also bisect the remaining side. EXERCISES. 113 squares described upon the other two sides of it; the angle contained by these two sides is a right angle. 28. One side of a right-angled triangle is 543, and the other side... | |
 | Euclides - 1847 - 128 pages
...the difference of the squares upon A and B. — QEF PROP. XLVIII. THEOR. GEN. ENUN. — If the square described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. PART. ENUN. — Let the square upon BC, one of the sides of the A... | |
 | Education - 1847 - 508 pages
...between the same parallels. 3. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a light angle. SECTION Il. — 1. To divide a straight line, so that the rectangle... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...triangle, and have one of its angles equal to a given rectilineal angle. 3. Prove that if the square described upon one of the sides of a triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. Section 3. 1. Prove that if a straight line be divided into any two... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...the sides BA, AC. Therefore, in any right angled triangle, &c. QED . PROP. XLVm. THEOR. If the square described upon one of the sides of a triangle, be...the other two sides of it; the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...third sides will 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...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
...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 triangle be equal...the other two sides of it.; the angle contained by these two sides is a right angle. SECTION III. 1. If a straight line be divided into any two parts,... | |
 | 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.... | |
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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. 
