 | Scotland free church, gen. assembly - 1847 - 554 σελίδες
...straight line falls upon two other parallel straight lines, it makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal to the sum of the squares described on the other two sides, these sides contain a right angle. 3. Divide a... | |
 | 1844 - 688 σελίδες
...equal to two right angles, the two straight lines shall be parallel. 5. 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 is a right angle. 6. If a straight... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...and, therefore, AC is manifestly less than DF. 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, the angle contained by those two sides is a right angle. If the square described... | |
 | Euclides - 1845 - 546 σελίδες
...Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. THEOREM. 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. Let the square... | |
 | Euclid - 1845 - 218 σελίδες
...Therefore, in any right-angled triangle, &c. QED PROPOSITION 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 of it ; the angle contained by these two sides is a right angle. If the square... | |
 | Euclides - 1846 - 292 σελίδες
...Wherefore, In any right- angled triangle S,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 of it, the angle contained by these two sides is a, right angle. Let the square... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...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 of it ; the angle contained by these two sides is a right angle. If the square... | |
 | Euclides - 1847 - 128 σελίδες
...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 to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. PART. ENUN.... | |
 | J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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 to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Section 3.... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...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 described upon the other two sides of it; the angle contained by these two sides is a right angle. If the square... | |
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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. 
