| John Keill - Logarithms - 1723 - 364 pages
...cut into two Parts, four times the Re&angle, contain'd under the whole Line, and one of the farts, **together with the Square of the other Part, is equal to the Square of the** Line, compounded of the whole Line, and the firft Part taken as one Line. T ET the Right L5ne AB be... | |
| John Keill - Trigonometry - 1733 - 397 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... | |
| Ignace Gaston Pardies - Geometry - 1734 - 164 pages
...any how into two Parts, theQuadrupIe Reftangle under the whole Line, and one of the Parts added to **the Square of the other Part, is equal to the Square of the** whole and the other Part added to it, as if it were but one Line. ae Z| -- ! - 1 Let the whole Line... | |
| John Keill - Geometry - 1772 - 399 pages
...VIII. THEOREM. ]fa Right Line be any bow cut into two Parts, four 'Times the Re51angle> contained under **the whole Line, and one of the Parts, together with...of the other Part, is equal to the Square of [the** Line compounded of] the whole Line and the fir jt Part, taken as one Line. TET the Right Line AB be... | |
| Robert Simson, Euclid - 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 - 520 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 - Logarithms - 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...Square of the other Part, is equal to the Square of** \tbe Line compounded of ~\ the whole Line and thefirjl Part, taken as one Line. ,T. £ T the Right... | |
| John Playfair - Euclid's Elements - 1795 - 400 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 - Mathematics - 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, Robert Simson - 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... | |
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