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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 up of the whole and that... "
Plane and Solid Geometry - Page 135
by Seth Thayer Stewart - 1891 - 406 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 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 ...

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...
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Short, But Yet Plain Elements of Geometry: Shewing how by a Brief and Easie ...

Ignace Gaston Pardies - Geometry - 1734 - 192 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 - 462 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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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

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...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 a ...

John Playfair - Mathematics - 1806 - 320 pages
...THEOR. .• 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, are equal to the square of the straight line which is made up of the whole and the firstmentioned part....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...VIII. Theor. 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...of the straight line which is made up of the whole and that part. Prop. IX. Theor. If a straight line be divided into two equal, and also into two unequal...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...VIII. THEOR. 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...is equal to the square of the straight line, which is'made up of the whole and that part. Let the straight line AB be divided into any two parts in the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D...
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