If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... Euclid - Page 130by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| John Keill - Trigonometry - 1733 - 448 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 - 466 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 - 520 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 - 399 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... | |
| John Playfair - Trigonometry - 1795 - 444 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 - 311 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 - 351 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
...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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