 | University of Sydney - 1901 - 644 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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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 
