 | Euclides - 1870 - 270 sider
...PBOP. 7. — THEOB. If 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 sider
...V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole...that part together with the square on the other part. s Let AB be divided into any two parts in C. Then must sqq. on AB, BC— twice rect. AB, BC together... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...former of these two Qs is the larger, in the sixth, the latter. PBOPOSITION VTI. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...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... | |
 | Euclides - 1872 - 102 sider
...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,... | |
 | University of Madras - 1873 - 436 sider
...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,...part, together with the square on the other part. VI. From any point D in the side CA of a right-angled triangle ABC, of which C is the right-angle,... | |
 | Henry Major - 1873 - 588 sider
...CD. VII. — If a 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...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... | |
 | Edward Atkins - 1874 - 426 sider
...square on CD. Therefore, if a straight line, &c. QED Proposition 7. — Theorem. If a straight line be divided into any two parts, the squares on the whole...the straight line AB be divided into any two parts in the point C; PROPOSITIONS. For AK=CE. .-. AKF CONSTRUCTION. — TTpon AB describe the square ADEB... | |
 | Braithwaite Arnett - 1874 - 130 sider
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be required. 1. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 2. Describe a square that shall be equal to a given rectilineal figure. If a square and a rectangle... | |
 | Francis Cuthbertson - 1874 - 400 sider
...that square on BE = rect. (BC, DE) + square on CE. 9. Divide a straight line into two parts so that the squares on the whole line and on one of the parts shall be together equal to three times the square on the other part. 10. Prove that the squares on... | |
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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. 
