| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...differ by a given quantity AB. Solution. On the given line AB, as a diameter, describe a circle ; from **the extremity of the diameter draw the tangent AD...of the square C. Through the point D and the centre** 0 draw the secant DF; DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...construct a rectangle that shall be equivalent to a given square C, and the difference of whose adjacent **sides shall be equal to a given line AB. Upon the...DF be the adjacent sides of the rectangle required.** PROBLEM XIX. Tojind the common measure, if there is one, between the diagonal and the side of a square.... | |
| Adrien Marie Legendre - 1825 - 570 pages
...half of the line JIB. PROBLEM. Solution. On the given line AB, as a diameter, describe a circle ; from **the extremity of the diameter draw the tangent AD...Through the point D and the centre O draw the secant DF;** DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...differ by a given quantity AB. . Solution. On the given line AB, as a diameter, describe a circle ; from **the extremity of the diameter draw the tangent AD...Through the point D and the centre O draw the secant DF;** DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AT) **equal to the side of the square C. Through the point D and the centre O draw the secant DF;** DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AT) **equal to the side of the square C. Through the point D and the centre O draw the secant DF;** DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides... | |
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...be equal to a given line. Suppose C equal to the given square, and AB the difference of the sides. **Upon the given line AB as a diameter, describe a semicircle...secant DF: then will DE and DF be the adjacent sides** A of the rectangle required. For, first, the difference of their sides is equal to the diameter EF... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...equal to the given square, and AB the difference of the sides. Upon the given line AB as a diamemeter, **describe a semicircle : at the extremity of the diameter...difference of their sides is equal to the diameter EF or AB** ; secondly, the rectangle DE, DF is equal to AD= (228.) ; hence that rectangle is equivalent to the... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...equal to a given line. » Suppose C equal to the given square, and AB the difference of the sides. . **Upon the given line AB as a diameter, describe a semicircle...rectangle required. For, first, the difference of** these sides is equal to the diameter EF or AB ; secondly, the rectangle DE, DF, is equal to AD2 (Prop.... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a circle ; **at the extremity of the diameter draw the tangent...the square C ; through the point D, and the centre** 0, draw the secant DF ; then will DE and DF be the adjacent sides of the rectangle required. First,... | |
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