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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pàgina 49
per Euclid, John Playfair - 1846 - 317 pàgines
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The Examination papers set for the preliminary examination of candidates for ...

Royal College of Surgeons of England - 1874 - 36 pàgines
...two right angles. 7. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together...square of the line between the points of section, shall be equal to the square of half the line. 8. Describe a square that shall be equal to a given...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pàgines
...parts, together with the square on the part between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two...
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The Madras University Calendar, Volum 1

University of Madras - 1874 - 502 pàgines
...unequal parts, prove that the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. PART II. V. Divide a given straight line into two parts, so that the rectangle contained...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 pàgines
...into two unequal parts, the rectangle contained by the unequal parts, together with t/ie square on the line between the points of section, is equal to the square on half t/ie line. Let the straight line AB be bisected in C, and divided unequally in D ; AD • DB...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pàgines
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pàgines
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. * Let the straight line AB be divided into two ' • equal parts at the point C,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pàgines
...into tu-tt unequal parti ; the rectangle contained by the unequal parts, together with, the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 pàgines
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally in P. Then must reel. AD,...
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Annual Report

1876 - 710 pàgines
...into two unequal parts ; the rectangle contained by the unequal parts,. together with the square on the line between the points of section,, is equal to the square on half the line. ENGLISH GRAMMAR AND COMPOSITION. FIRST AND SECOND DIVISIONS. 1. Define case, indicative...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pàgines
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be bisected in C, and divided unequally in D ; AT, -pa The...
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