| Euclides - 1872
...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
...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
...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
...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,...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. CONSTRUCTION.... | |
| Braithwaite Arnett - 1874
...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,...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... | |
| Euclides - 1874
...equal to the difference of the squares on the lines." PROPOSITION 7. THEOREM. If a straight line l>e **divided into any two parts, the squares on the whole...part, together with the square on the other part.** Let the straight line AB be divided into any ' • two parts at the point C : the squares on AB, BC... | |
| Euclides - 1874
...square shall be equal to two given squares. 7. Divide a given straight line into two parts, such that **the squares on the whole line and on one of the parts** shall be equal to twice the square on the other part. 8. Show that the difference of the squares of... | |
| Francis Cuthbertson - 1874 - 349 páginas
...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... | |
| Education Department,London - 1876
...intersection together with four right angles are equal to all the interior angles of the polygon. 3. **If a straight line be divided into any two parts,...part, together with the square on the other part.** Produce a given line so that the rectangle contained by the whole line thus produced and the part produced... | |
| Euclides, James Hamblin Smith - 1876 - 349 páginas
...V. and VI. might be deduced from thia Proposition! A. ri r, 7 1 •K i J7 PROPOSITION VII. THEOREM. **If a straight line be divided into any two parts,...that part together with the square on the other part.** ACI) Let AB be divided into any two parts in G. Then must sqq. on AB, BC= twice rect. AB, BC together... | |
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