 | Robert Simson - 1762 - 488 pages
...PR OB. TO divide a given ftraight line into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two parts, fo that the rectangle... | |
 | Euclid - 1765 - 492 pages
...this, there being no number that can be divided into two others f«ch, that the product of the whole by one of the parts, fhall be equal to the fquare of the other part. PROP. XII. THE OR. In obtufe-axgicd triangles, the fquare of the fide eppofite to the obtufe angle,... | |
 | Robert Simson - 1775 - 534 pages
...ftraight line ; it is required to divide it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB deferibe * the fquare ABDC ; bifect b AC in E, and join BE ; produce CA to F, and makec EF... | |
 | Euclid - 1781 - 552 pages
...PRO B. TO divide a given ftraight line into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two parts, fo that the rectangle... | |
 | Richard Turner - 1787 - 264 pages
...Right Line given into extreme and meati Proportion ; that is, to cut a Line fo that the Product of the whole Line and one of the Parts fhall be equal to the Square of the other Part. Let AB be the Right Line given to be fo divided. 11 «L AC Cbnftruflion.... | |
 | Euclid - 1789 - 296 pages
...AB be the given right line ; it is required to divide it into two parts, fo that the re£tangle of the whole line and one of the parts fhall be equal to the fquare of the other part. Upon AB defcribe the fquare AC (II. i.), and bifeft the fide of it AD in E (I. 10.) Join the points... | |
 | Euclid, John Playfair - 1795 - 462 pages
...the lines." PR O P. VIII. THEO R." TF a ftraight line be divided into any two parts, J. four times the reftangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
 | Alexander Ingram - 1799 - 374 pages
...it is required to divide CoIK II. it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB defcribe » the fquare ABDC ; bifea b AC in E, and join BE ; produce CA to F, and make c EF... | |
 | John Bonnycastle - 1803 - 470 pages
...PROP. XXII. PROBLEM. • • - y To divide a given right line into two parts, fo that the re&angle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to divide it into two parts, fo that the reftangle... | |
 | Robert Simson - 1804 - 530 pages
...ftraight line; it is required to divide it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB defcribe » the fquare ABDC, bifect b AC in E, and join BE; produce CA to F, and make c EF... | |
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TO divide a given ftraight line into two parts, fo that the rectangle contained by the whale, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line; it is required to divide it into two parts, fo that... 