 | 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 - 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
...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 - 378 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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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 on the line between the points of section, is equal to the square on half the line. 
