| University of Sydney - 1901 - 646 pages
...third side, then the two sides contain a right angle. 6. If a straight line is divided into two equal, **and also into two unequal parts, the rectangle contained by the unequal parts,** etc. Complete this examination and prove the theorem. 7. ABCD is a square, each side of which is eight... | |
| 1902 - 482 pages
...a triangle be produced, the exterior angle is greater than either of the interior remote angles. 4. **If a straight line be divided into two equal parts,...points of section, is equal to the square of half the** line. 5. If a straight line be divided into any two parts, the squares of the whole line and of one... | |
| University of Sydney - 1902 - 640 pages
...drawing parallels to the sides, shall be a rhombus. 4. If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained...between the points of section is equal to the square** on half the line. 5. Shew how to divide a given straight line internally or externally so that the... | |
| 1902 - 130 pages
...between the parts. All even numbers also (except the dyad — two — which is simply two unities) may **be divided into two equal parts, and also into two unequal parts,** yet so that in neither division will either parity be mingled with imparity, nor imparity with parity.... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...times their rectangle. Rectangles of equal parts and of unequal parts. 49. THEOREM 15. If a line is **divided into two equal parts, and also into two unequal parts, the rectangle** of the unequal parts, together with the square on the intermediate part, is equivalent to the square... | |
| 1904 - 386 pages
...unequal parts; show that the rectangle contained by the unequal parts, together with the square on **the line between the points of section, is equal to the square** on half the line. A straight line is divided into two parts; show that the rectangle contained by the... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...equally and also unequally, the rectangle contained by the unequal parts, together with the square on **the line between the points of section, is equal to the square** on half the line. I. 46. I. 31. I. 43. Let the straight line AB be divided equally at P, and unequally... | |
| Education - 1920 - 928 pages
...theorem you have that the rectangle upon the two unequal segments, which is 21 by construction, plus **the square of the line between the points of section, is equal to** 25, the square on half the line. This gives 25 — 21 or 4, as the square of that length, 2 as the... | |
| 1907 - 608 pages
...line; and (2) if it make the interior angles upon the same side together equal to two right angles. 3. **If a straight line be divided into two equal parts,...unequal parts ; the rectangle contained by the unequal** (Kirts together with the square of the line between the poiuts of section, is equal to the square of... | |
| Trinity College (Dublin, Ireland) - 1909 - 546 pages
...sides and angles of a parallelogram are equal to one another, and the diagonal bisects the area ? 4. **If a straight line be divided into two equal parts, and also into two unequal parts, the** squares of the unequal parts are together double of the square of half the line, and of the square... | |
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