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" If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is... "
Examination Papers for Science Schools and Classes - Page 23
by Great Britain. Education Department. Department of Science and Art - 1882
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...Book II. a. 46 • I • b. 3i. I. c. 36. I. d. 43- IPROP. VI. THEOR. TF a ftraight line be bifected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquarc of half of the line bife&ed, is equal to the fquare of the...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
.....;... b 3'c 3«. i. a 43. I• c Cot. 4. i, H M PRO P. VI. THEO R. TF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together witlx the fquare of half of the line bifected, is equal to the fquare of the...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...H / a 48. I. k 3i. I. c 36. r. A 4J. t. Book IL PRO P. VI. THEO R. IF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle contained by their fum AD and difference DB. PROP. VI. THEOR. IF a ftraight line be bife&ed, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifefted, is equal to the fquare of the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...46. 1. b. 3i. 1. c. 36. i. i. 43. l. e. Cor. 4. 2, PROP. VI. THEOR. IF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...AC+CD. AC— CD." a 46. ib3i. Ic 36. i. * 43- i. PRO P. VI. THEO R. IF a ftraight line be bifec"led, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half the line bifefted, is equal to the fquare of the ftraight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...away the equal rectangles 2BC.CD and 2AC.CD, " there remains AD2+DB2=2AC2+2CD2. QED" PROP. X. THEOR. IF a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...of AD, DB are double of the squares of AC, CD. If therefore a straight line, &c. QED PROP. X. THEOR. IF a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...another problem of the same nature; in which it is required to produce a straight line AB, such that the rectangle contained by the whole line thus produced and the part produced, shall be equivalent to the square of the line AB itself. Divide AB in C, so that the rectangle BA,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...square of half the line, and of the square of the line between the points of section. Prop. X. Theor. If a straight line be bisected, and produced to any point, the square of tht; whole line thus produced, and the square of the part of it produced, are together double...
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