 | Royal Military Academy, Woolwich - 1853 - Liczba stron: 476
...both are answers to the question in its literal meaning. 2. To divide a line of 20 inches in length into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the greater part ; then 20 — x = the less part,... | |
 | Euclides - 1853 - Liczba stron: 334
...to be proved. PEOP. VIII. THEOE. If a straight line be divided into any two parts : then four times the rectangle contained by the whole line and one of the parts, together with the square of the other part shall be equal to the square of the line which is made up... | |
 | Euclides - 1853 - Liczba stron: 176
...&c. QED PROPOSITION VIII. — THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made... | |
 | Royal Military Academy, Woolwich - 1853 - Liczba stron: 400
...line, etc. QED PROPOSITION VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made... | |
 | Euclides - 1853 - Liczba stron: 146
...straight line, &c. QED PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made... | |
 | William Walton, Charles Frederick Mackenzie - 1854 - Liczba stron: 266
...parallelograms is equal to twice the triangle BSD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle... | |
 | Cambridge univ, exam. papers - 1854 - Liczba stron: 284
...parallelograms is equal to twice the triangle BKD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle... | |
 | Great Britain. Committee on Education - 1855 - Liczba stron: 976
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6.... | |
 | Cambridge univ, exam. papers - 1856 - Liczba stron: 252
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
 | War office - 1858 - Liczba stron: 578
...do the rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D., FRS,... | |
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Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... 
