| 582 pages
...proved in Book 1 and state what ease is omitted. SECTION IT. 1. 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. 2. If a straight line be divided into any two parts,... | |
| University of Durham - Education, Higher - 1851 - 222 pages
...twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, such that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 6. If two circles cut one another they cannot have... | |
| Euclides - 1852 - 152 pages
...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 is required... | |
| Bengal council of educ - 1852 - 348 pages
...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 so, find approximately... | |
| Charles Astor Bristed - 1852 - 470 pages
...every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. The angle at the centre of a circle is double of... | |
| Euclides - Geometry - 1853 - 176 pages
...square of the other part. LET ab be the given straight line ; it is required to divide it 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 (i. 46) the square abdС; bisect (i.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 ABDC ; bisect... | |
| Euclides - 1853 - 146 pages
...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 is required... | |
| G. Ainsworth - 1854 - 216 pages
...— - = -- (-4, and solving, x=lo. 3. Divide the number 20 into two such parts, that the product of the whole and one of the parts may be equal to the square of the other part. Let 2ж=; the difference of the two parts. Now, 20 being the sum, 10 + ж= the greater... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 of a circle... | |
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