 | 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... | |
 | 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,... | |
 | 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,...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 - Student teachers - 1873 - 588 pages
...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 - 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,...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 - 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,...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 - 120 pages
...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 - 342 pages
...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 - Euclid's Elements - 1874 - 400 pages
...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 - 1010 pages
...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... | |
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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... 
