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" To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part. "
A companion to Euclid: being a help to the understanding and remembering of ... - Página 45
por Euclides - 1837 - 88 páginas
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Key to Dodd's Algebra: Containing All the Problems, and the More Difficult ...

James William Dodd - 1859
...Divide a line 20 inches in length into two such parts that the rectangle or product of the whole line and one of the parts shall be equal to the square of the other part. 116 QUADRATIC EQUATIONS OP ONE OR The Equations will then be x+y=20; ' 20x=y2. These...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - 1859 - 306 páginas
...gentlemen ? Ans. 12. 21. Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Ans. 10/ 5— 10, and 30 — 10.V5. 22. A laborer dug two trenches, one of which was 6 yards...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 4. To divide a given straight line into two parts, so...and one of the parts shall be equal to the square on. the other part. 5. To describe a square that shall be equal to a given rectilineal figure. 6. The...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...AD, DB are double of the squares on AC, CD. "Wherefore, if a straight line, &e. QED * PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle eontained by the whole and one of the parts, shall be equal to the square on the other part. Let AB...
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Elements of algebra

Philip Kelland - 1860
...together. Eequired their rates of running. 19. To divide a line 12 inches long into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other part. (Euclid, 2, 11). 20. To divide a given line (a) into...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. To divide a given straight line into two parts so...and one of the parts shall be equal to the square on the other part. If the given line be a foot long, compute the lengths of the parts to the nearest...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 páginas
...angles. Enunciate the propositions required in the proof. 3. To divide a straight line into two parte so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point...
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The elements of algebra. [With] Answers

Robert Fowler - 1861
...7. 5. Divide a line а feet long into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the length of the greater part, in feet. . ' . a - x = „ less „ x2 = (a...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 294 páginas
...contained by the chord joining the points of contact, and the diameter drawn from one of these points. 71. To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. 72. To draw...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 páginas
...AM, MX from each side, we get sq. on AX + sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — To divide a given straight line into two...that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given st. line. On AB describe the...
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