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" 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 of the whole and that... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 57
by Euclid, Robert Simson - 1810 - 518 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

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...
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

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...
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Short, but yet plain elements of geometry: shewing how by a brief and easie ...

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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

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...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...&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 rectangle 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...
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The First Six Books: Together with the Eleventh and Twelfth

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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

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...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

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...
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Elements of algebra for the use of students in universities: to which is ...

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...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Trigonometry - 1799 - 351 pages
...I. 34- 1 bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times the rectangle contained by 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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