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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... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 54
by John Keill - 1772 - 399 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...of the Line, compounded of the whole Line, and the firft Part taken as one Line. T ET the Right L5ne AB be cut any how in C. *-* I fay four times the...
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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: The First Six, the Eleventh and Twelfth Books

Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...taken as one line. Therefore if a right line be divided into any two pans, four times the rectangle contained under the whole line and one of 'the parts, together with the fquare of the remaining part, is equal to the fquare of the whole line and the aforefaid part, taken...
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The Elements of Euclid: in which the propositions are demonstrated ..., Book 11

Euclid - Geometry - 1776 - 264 pages
...THEELEMENTS BOOK!!. V^Y>J PROP. VIII. THEO R. IF a right line be cut into two parts, four times the reSlangle under the whole line, and one of the parts, together with the fquare of the other part, are equal to thefquare of the whole line, and thefirft part taken as the...
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The Elements of Euclid: in which the propositions are demonstrated in a new ...

Euclid - Geometry - 1776 - 264 pages
...BOOK II, PROP. VIII. THEO R. TF a right line lie cut into two parts, four times the reft angle •^ under the whole line, and one of the parts ^ together •with the fqitare of the other part, are equal to thefquare of the whole fine, and the fir ft part taken as the...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Logarithms - 1782 - 399 pages
...PRPOPSITION VIII. 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,...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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...VIII. THEOR. IF a straight line be divided into any two parts, tour times the rectangle contained by the whole line, and one of the parts, together with...square of the other part, 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...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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...square of the other part, is equal to the square of the straight line which is made up of the whole and that part. Prop. IX. Theor. If a straight line be divided...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...VIII. THEOfc. 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...square of the other part, 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...
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