| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...the lengths of the perpendiculars from the other two angles on the opposite sides. 3. If a straight **line be divided into two equal parts, and also into two unequal parts,** prove that the rectangle contained by the two unequal parts, together with the square on the line between... | |
| 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
...produced, the exterior angle is greater than either of the interior remote angles. 4. If a straight **line be divided into two equal parts, and also into...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. 5. If a straight... | |
| 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 by the unequal parts together with the square** of the line between the points of section is equal to the square on half the line. 5. Shew how to divide... | |
| 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.... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...(distant y from O), what are the lengths of the two unequal parts AP, PB? Prove algebraically that **the rectangle contained by the unequal parts, together...the square on the line between the points of section** (OP), is equal to the square on half the original line. Ex. 1O98. Show that in the above exercise AO... | |
| 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... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...EUCLID-S ELEMENTS. PROPOSITION 5. THEOREM. If a straight line is divided equally and also unequally, **the rectangle contained by the unequal parts, together...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 at Q. Then the... | |
| 1904 - 386 pages
...section. A. '21. A straight line is divided into two equal, and also into two unequal parts; show that **the rectangle contained by the unequal parts, together...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 parts is greatest,... | |
| Eldred John Brooksmith - 1904 - 376 pages
...into two unequal parts, prove that the rectangle contained by the two unequal parts, together witl1 **the square on the line between the points of section, is equal to the square on half the line.** Compare the lengths of the two unequal parts, if the rectangle contained by them is eight times the... | |
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