| Daniel Cresswell - 1817 - 436 páginas
...off from the two given tangents, also subtend equal angles, at the center of the circle. (LXVII.) To **produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part** of it produced, shall be equal to a given square. (LXVII i.) If, from the bisection of any given arch... | |
| Sir John Leslie - 1817 - 432 páginas
...of another problem of the same nature ; in which it is required to produce a straight line AB, such **that the rectangle contained by the whole line thus produced and the part produced,** shall be equivalent to the square of the line AB itself. Divide AB, by this proposition, in C, so that... | |
| Daniel Cresswell - 1819 - 410 páginas
...tangent, and Which is equal to the tangent, itself also touches the circle. PROP. LXXIII. 93. PROBLEM. To **produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part** of it produced, shall be equal to a given square. Let AB be a given straight line, and L the side D... | |
| Daniel Cresswell - 1819 - 410 páginas
...which is equal to the tangent, itself also touches the circle. " --> PROP. LXXIII. 93. PROBLEM. To **produce a given straight line, so that the rectangle contained by the whole** lint? thus produced, and the part of it produced, shall be equal to a given square. Let AB be a given... | |
| John Playfair - 1819 - 317 páginas
...following pYoblem, more simple, and, as was observed in the former instance very little less general . " To **produce a given straight line, so that the rectangle '• contained by the** segments, between the extremities of the given. " line, and the point to which it is produced, may... | |
| Meyer Hirsch - 1827 - 264 páginas
...proof of this construction is founded on Eue. VI. 13, 17. SECTION LXXIII. PROB. To produce a given **line, so that the rectangle contained by the whole...and the part produced, may be equal to the square** of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen it by the part BC, so that the... | |
| Hirsch - 1827 - 386 páginas
...of this construction is founded on Eue. VI. 13, 17. SECTION LXXIII. Рвов. То produce a given **line, so that the rectangle contained by the whole...and the part produced, may be equal to the square** of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen it by the part BC, so that the... | |
| Robert Simson - 1827 - 513 páginas
...their sum and difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part** of it produced, together with the square of half the line bisected, is equal to the square of the straight... | |
| Euclid - 1835 - 513 páginas
...AD and difference DB. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part** of it produced, together ivith the square of half the line bisected, is equal to the square of the... | |
| Robert Mudie - 1836 - 496 páginas
...this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part** of it produced, together with the square of half the line bisected is equal to the square of the straight... | |
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