| University of Oxford - 1863 - 316 페이지
...line equal to a given straight line. 8. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 9. If a straight line be divided into any two parts, the... | |
| Robert Potts - 1863 - 482 페이지
...intersection of its diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter, and... | |
| Euclides - 1864 - 448 페이지
...angles a right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side...sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle lSA C. Then the square described upon the side BC, shall... | |
| Euclides - 1864 - 262 페이지
...angles a right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side...upon the sides which contain the right angle. Let AB Che a right-angled triangle, having the right angle BAC. Then the square described upon the side... | |
| Queensland. Department of Public Instruction - 1866 - 336 페이지
...difference of any two sides of a triangle is less than the third side. 4. Prove that in any right-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Exhibit to the eye the truth of this proposition in the case of a triangle whose sides are 3, 4, and... | |
| J. F. H. de Rheims - 1865 - 336 페이지
...between the same parallels are equal to one another. Prop. 47. — Theorem. In any right angled trinngle, the square which is described upon the side subtending...described upon the sides which contain the right angle. EUCLID, BOOK III. Prop. 3. — Theorem. If a straight line drawn through the centre of a circle bisect... | |
| Euclides - 1865 - 402 페이지
...angles of every triangle are together equal to two right angles f • !• 32. 9. In every right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the square described upon the sides which contain the right angle . . I. 47. 10. And conversely, if the... | |
| Robert Potts - 1865 - 528 페이지
...PROPOSITION XLVII. THEOREM. lfi any right-angled triangle, the square which is described upon the m'dt subtending the right angle, is equal to the squares described upon the nidus which contain- the right angle. Let ABC be a right-angled triangle, having the right anglo BAC.... | |
| 1867 - 224 페이지
...together equal to two right angles. 7. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. [Turn over. 8. Divide a given straight line into two parts,... | |
| Euclid, Isaac Todhunter - 1867 - 424 페이지
...right angles. H PROPOSITION 47. THEOREM. In any right-angled triangle, ihe square which it described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle... | |
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