Books Books 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. The Elements of Geometry, Symbolically Arranged - Page 58
by Great Britain. Admiralty - 1846 ## Calendar of the University of Sydney

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... ## Annual Report of the Commissioners ..., Volume 68

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... ## Calendar of the University of Sydney

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... ## Collectanea Hermetica, Volume 9

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.... ## Elementary Geometry: Plane

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... ## Science Examinations ... Reports, Etc

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... ## A Text-book of Euclid's Elements for the Use of Schools, Book 1

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... ## School Science and Mathematics, Volume 20

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... ## Annual Report of the Commissioners ..., Volume 73

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... 