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

John Playfair - Circle-squaring - 1819 - 350 pages
...VIII. THEOR. If a straight line be divided into any two parts , four times the reftanglt 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 the first-mentioned part. Let the straight line AB...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...VIII. THEOR. If a straight line be divided into any two parts, fouf times the rectangle contained by the whole line, and one of the parts, together with the square of the other fart, is equal to the square of the straight line which is made up of the whole and the first-mentioned...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...VIII. Theorem. 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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...PROPOSITION VIII. THEOREM. I/* a rig A/ /ѓие iе аиу how ait into two parts, four times the rectangle, contained under the whole line, and one of the parts,...of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ;...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...THEOREM. If a right line be any how ait into two parts, four times tlie rectangle, contained under (he whole line, and one of the parts, together with the...of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ;...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...line be divided into any two parts, four times the reetangle eontained by the whole line, arid ohtt of the parts, together with the square of the other part> iS H equal to the square of the straight line whieh is made up of the whole and the first-mentioned part....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...VIII. THEOR. If a straight line he 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 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 the square of the other part, is equalto the square of the straight line which is made up of the whole and the jir si-mentioned part....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...E a 34. 1. 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 t/ie other part, is equal to the square of the straight line which is made up of the whole and that...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...lines. VIII. 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 the first mentioned part. Сок. 1. Hence, four times...
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