| Euclides - 1862 - 140 sider
...Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— 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. (References—... | |
| University of Oxford - 1863 - 328 sider
...triangle, and have one of its angles equal to a given rectilineal angle. 7. 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. 8. If a straight... | |
| Robert Potts - 1863 - 482 sider
...two sides of it, the angle contained by these two sides is a right angle. If the equilateral triangle described on one of the sides of a triangle be equal to the equilateral triangles described on the other two sides of it, the angle contained by these two sides... | |
| Euclides - 1863 - 74 sider
...the earth's curvature. PKOP. 48.— THKOH. — (Converse of the 4~th.) If the squares described upon one of the sides of a triangle be equal to the squares described upon the other two sides oj it ; the angle contained by the two sides is a rt. angle. Con.— P. 11,... | |
| Euclides - 1864 - 448 sider
...in any right-angled triangle, &c. QE a. 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 iides of it ; the angle contained bg thrie tiro sides is a right angle. Let the... | |
| Euclides - 1865 - 402 sider
...squares described upon the sides which contain the right angle. Prop. 48. 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 con tained i,y these two sides L, a right angle. GEOMETRICAL... | |
| Euclid, Isaac Todhunter - 1867 - 424 sider
...described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PROPOSITION 48. THEOREM. If the square described on one of the sides of a triangle...the other two sides of it, the angle contained by these two sides is a right angle. Let the square described on BC, one of the sides of the triangle... | |
| Euclid, Isaac Todhunter - 1867 - 426 sider
...described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PKOPOSITION 48. THEOREM. If the square described on one of the sides of a triangle...the other two sides of it, the angle contained by these two sides is a right angle. Let the square described on BC, one of the sides of the triangle... | |
| 1867 - 224 sider
...given straight lines ? ^, t, > , what condition is necessary ? 8. If the square described on one side of a triangle be equal to the squares described on the other two sides, the angle contained by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£:... | |
| Woolwich roy. military acad - 1868 - 426 sider
...that the coefficients continually increase as the series proceeds. 10. If the square described on EC one of the sides of a triangle be equal to the squares described on the other two sides BA, AC, prove that the angle BAG is a right angle. If BDEC is the square described on BC, find the... | |
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