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Books Bücher 91 - 100 von 191 in To divide a given straight line into two parts, so that the rectangle contained by...
" To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. "
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 34
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...straight line into two parts, so that the rectangle contained by them may be the greatest possible. 2. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained...
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Guide to the Civil service

1864
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. Divide a given straight line into two parts, so that...and one of the parts shall be equal to the square of the other part. 6. Draw a straight line from a given point, either without or in the circumference,...
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Report on the examination for admission to the Royal military academy at ...

1864
...one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide it into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The Drawing must be entirely Free-hand;...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.) bisect AC in E, (l. 10) and join BE, produce CA...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle cnntnined by the whole and one of the parts, shall be equal to the square oii the other part. Let AB...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...angle and the perpendicular let fall upon it from the opposite angle s. . . n. 13. Problems. 1. To divide a given straight line into two parts, so that the rectangle under the whole and one of the parts is equal to the square on the other part . . . . . . n. 11. 2....
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...the other two sides of it, prove that the angle contained by these two sides is a right angle. -">. Divide a given straight line into two parts, so that...contained by the whole and one of the parts shall !«• i-qual to the square of the other part. Female Candidates for Class I will omit the 1st and...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...are points in a straight line, taken in order, prove that the rectangle AC . BD = AB . CD + BC . AD. 4. Divide a given straight line 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. 5. Equal straight lines in...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 Seiten
...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 parts so 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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...of the complements, show that the complement is equal to half the other parallelogram. Ex. 652. — Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the rectangle contained by the other part and a given finite straight line. Ex....
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