 | Edinburgh univ - 1868 - 334 pages
...Parallelograms upon equal bases and between the same parallels are equal. 4. Prove Prop. 47, BI 5. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole line... | |
 | Euclides - 1870 - 270 pages
...a st. line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30.... | |
 | Euclides - 1871 - 136 pages
...Shew that Propositions V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. If a straight line be divided into any two parts,...squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other... | |
 | Euclides - 1872 - 102 pages
...the two diagonals of the parallelogram. in. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may bo together double of the square on the other part. in. 28. A triangle is turned about its vertex,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...for a given parallelogram, can have ? Ii. 11. Divide a given straight line into two parts such that the squares on the whole line and on one of the parts shall be together double of the square on the other part. 1867. in. 22. If the chords, which bisect... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal... | |
 | University of Madras - 1873 - 436 pages
...6hall be equal to a given triangle. V. If a straight line be divided into any two parts, prove that the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Edward Atkins - 1874 - 428 pages
...CB, is equal to the square on CD. Therefore, if a straight line, &c. QED Proposition 7.— Theorem. If a straight line be divided into any two parts,...squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...weighs G2-5 pounds. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be required. 1. If a straight line be divided into any two parts,...squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Edward Atkins - 1874 - 426 pages
...straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole...part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C; PROPOSITIONS. For AK=CE. .-.... | |
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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
