| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...with the square on the part between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two... | |
| Edward Atkins - 1876 - 130 pages
...Proposition 9. — Theorem. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...point C, and into two unequal parts in the point D ; The squares on AD and DB shall be together double of AD2+DB* the squares on AC and CD. CDa[AC8f CONSTRUCTION.... | |
| Richard Wormell - 1876 - 268 pages
...part. .. .. . . 145 9. If a straight line be divided îmo two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. . . . . . . . . . . . . . . --156 lo. If a straight line be bisected, and produced to any point, the... | |
| Education Department,London - 1876 - 1010 pages
...is a right angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...the line and of the square on the line between the pointe of section. 3. The diagonals of a rhombus bisect each other at right angles. ALGEBRA. SECTION... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...two equal, and also into two unequal parts, the squares on the two unequal parts are together doable of the square on half the line and of the square on the line between the points of section. Let AB be divided equally in C and unequally in D. Then must sum of sqq. on AD, DB— twice sum of sqq.... | |
| Euclides, James Hamblin SMITH - 1876 - 382 pages
...PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of tht square on the line between the points of section. Let AB be divided equally in C and unequally... | |
| Henry Major - 1876 - 784 pages
...the divided line. 3. If a straight line bo divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half tho line, and of the square on the lino between tho points of section. Aljcbra. — 1. Divide a—lx... | |
| Euclides - 1879 - 146 pages
...PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...on the line between the points of section. Let the st. line AB be divided into two equal parts at C, and into two unequal parts at D. Then the sqs. on... | |
| Moffatt and Paige - 1879 - 378 pages
...(Three Questions.) 1. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 2. The angle in that segment of a circle which is less than a semicircle is greater than a right angle.... | |
| University of Oxford - Greek language - 1879 - 414 pages
...sides are opposite. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 5. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior... | |
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