 | J T. Amner - 1878 - 226 pages
...angle. Section 4. 1. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. 2. If a straight line drawn through... | |
 | Euclides - 1878 - 398 pages
...PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...the line between the points of section, is equal to flu, square on naif the line. <? F Let the st. line AB be divided equally in C and unequally inD. Then... | |
 | Edward Harri Mathews - 1879 - 94 pages
...Section IV. 1. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts together...section, is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. 2. If a straight line drawn through... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...are opposite. 3. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained . by the unequal parts, together...section, is equal to the square on half the line. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer... | |
 | Joseph Wollman - 1879 - 120 pages
...SECTION IV. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together...of section is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. Let A and B be the sides AB of... | |
 | James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. A a Z) S JB Let the st. line AB be divided equally in C and unequally Then must rect. AD, DB together... | |
 | Moffatt and Paige - 1879 - 378 pages
...long, is £ ab ? If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. By the 41st proposition of the first book, which proves that " if a parallelogram and a triangle be... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...two right angles. 5. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. 6. The straight line AE bisecting the exterior angle CAD of the triangle ABC is parallel to the base... | |
 | Education, Higher - 1882 - 498 pages
...bisected in that point. 15. If a straight line be divided into two equal and also into two unequal parts the rectangle contained by the unequal parts together...section, is equal to the square on half the line. 16. From two given points draw two equal straight lines which shall meet in the same point of a line... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...third side. 3. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. Show that (a+x) (a — x) + x'=a'2 is the algebraical expression of this proposition. 4. If a straight... | |
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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. 
