| Education Department,London - 1876 - 1010 pages
...contained by these two sides 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...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 - 1876 - 382 pages
...AEFD =sq. on AD. QKD PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...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
...and the several parts of 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, James Hamblin Smith - Geometry - 1876 - 376 pages
...=AEFD =sq. on AD. QED 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 doable of the square on half the line and of the square on the line between the points of section.... | |
| Robert Potts - Geometry - 1876 - 446 pages
...the diameters of the squares on its two sides. , 15. If a straight line be divided into two equal and into two unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts, together with four times the square... | |
| Moffatt and Paige - 1879 - 506 pages
...straight line, etc. QED Proposition IX. Theorem. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal...the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the squares on AD, DB shall be together... | |
| Euclides - 1879 - 146 pages
...result is established.] PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...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
...whole square. SECTION IV. (Three Questions.) 1. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...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
...those to which the equal 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...square on the line between the points of section. 4. Equal straight lines in a circle are equally distant from the centre : and those which are equally... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...is made up of the whole and that part. . . 9. If a straight line be divided into two equal and also two unequal parts; the squares on the two unequal...square on the line between the points of section. Same proposition. Divide a straight line into two parts so that the sum of their squares may be the... | |
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