| Euclides - 1852 - 152 pages
...These two Propositions may be omitted at the first reading.] PEOP. XL PROB. To divide a given straight **line into two parts, so that the rectangle contained by the whole, and one** of the parts, shall be equal to the square of the other part. Let AB be the given straight line ; it... | |
| Bengal council of educ - 1852 - 348 pages
...right angle. Is this proposition included in any more general one ? (2.) To divide a given straight **line into two parts, so that the rectangle contained by the whole and one** of the parts, shall be equal to the square of the other part. Can this be solved arithmetically ? if... | |
| Euclides - 1853 - 146 pages
...of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. — PROBLEM. To divide a given straight **line into two parts, so that the rectangle contained by the whole and one** of the parts, shall be equal to the square of the other part. Let AB be the given straight line ; it... | |
| Euclides - Geometry - 1853 - 176 pages
...С d. Wherefore, if a straight line, &c. QED PROPOSITION XI. — PROBLEM. To divide a given straigM **line into two parts, so that the rectangle contained by the whole and one** of the parts shall be equal to the square of the other part. LET ab be the given straight line ; it... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...of AC, CD. Wherefore, if a straight line, etc. QED PROPOSITION XI. PROB. To divide a given straight **line into two parts, so that the rectangle contained by the whole, and one** of the parts, shall be equal to the square of the other part. Upon AB describe (46. i.) the square... | |
| William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...the difference of the 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... | |
| Cambridge univ, exam. papers - 1854 - 284 pages
...the difference of the 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... | |
| William Somerville Orr - Science - 1854 - 534 pages
...the remarks at the end of this book. PROPOSITION XI.— PROBLEM. To divide a given straight line (AB) **into two parts, so that the rectangle contained by the whole, and** от of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and... | |
| Robert Potts - 1855 - 1050 pages
...into two equal parts. Prove also that the two diameters bisect each other. 3. Divide a given straight **line into two parts, so that the rectangle contained by the whole, and one** of the parts, shall be equal to the square of the other part Solve the same problem algebraically,... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...other two sides of it, the angle contained by those two sides is a right angle. 3. Divide a straight **line into two parts, so that the rectangle contained by the whole and one** of the parts shall be equal to the square of the other part. Section 3. 1. The angles in the same segment... | |
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