| Euclid, John Keill - Geometry - 1733 - 444 pages
...Where'ibre, if a Right Line be any bow cut into two Partr, four times the Reftangle (ontained under **the whole Line, and one of the Parts, together with the Square** tf the other Par), is equal to the Square of the Line9 compounded of the -whole Line, and the firft... | |
| Robert Simson - Trigonometry - 1762 - 488 pages
...together with the fquare of AC. Wherefore if a ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight **line be divided into any two parts, four times 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 up of the whole... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...fquare of AC. Wherefore, if a ftraight line, &c. Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight **line be divided into any two parts, four times 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 up of the whole... | |
| Euclid - 1781 - 550 pages
...PROP. VIII. THEO R. > ... IF a ftraight line be divided into any two parts, four times the reSangle **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 up ot the whole... | |
| John Keill - Geometry - 1782 - 476 pages
...THEORE M. If a Right Line be any bow cut into two Parts, four Times the ReElangle, contained under **the whole Line, and one of the Parts, together with the Square** of the other Part, is equal to the Square of \tbe Line compounded of ~\ the whole Line and thefirjl... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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 up of the whole... | |
| William Trail - Algebra - 1796 - 334 pages
...place of that conftruction. PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo that **the rectangle contained by the -whole line, and one of the parts,** may be equal to thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...difference AC. G a PROP. BOOK IT, See N. I. « 34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight **line be divided into any two parts, four times the...whole line, and one of the parts, together with the** Iquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole... | |
| John Bonnycastle - 1803 - 306 pages
...AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that **the rectangle 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... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...together with the fquare of AC. Wherefore if a ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight **line be divided into any two parts, four times 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 up of the whole... | |
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