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Llibres Llibres 71 - 80 de 100 sobre AB be the given straight line ; it is required to divide it into two parts, so that....
" AB be the given straight line ; it is required to divide it 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. "
The Principles of Analytical Geometry ... - Pągina 11
per Henry Parr Hamilton - 1826 - 326 pągines
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Elements of algebra

1870
...product shall be 216. Ans. 3 or — 2. 6. Divide 20 into two such parts that the product of the whole and one of the parts shall be equal to the square of the other. Ans. 10^5 — 10 and 30— l0-V5. 7. A merchant sold a quantity of brandy for £39, and gained ns much...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Henry Green - 1870
...11. — PROB. To divide a given st. 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 oilier part. SOL. — 46. I. To describe a square on a given st. line. 10. I. To bisect a given finite...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1872 - 178 pągines
...parts. 6. Divide a given straight line into two parts, so that the rectangle contained by the whole aud one of the parts shall be equal to the square of the other part. C Draw a straight line (rom a given point, either without or in the circumference, which shall touch...
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THE BOMBAY UNIVERSITY CALENDAR FOR THE YEAR 1873-74

thacker vining - 1873
...make an 6 angle equal to a given angle. '2. Divide a given right line into two parts, so that the 9 rectangle contained by the whole line and one of the...parts shall be equal to the square of the other part. Show that the squares on the whole line and one of the parts are together equal to three times the...
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The acting teacher's and student's in training guide and text book for ...

Henry Major - 1873
...other part. It is required to divide AB 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. Upon AB describe the square ACDB ; TG bisect AC in E, join BE, produce CA to F, and make EF equal to...
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THE MADRAS UNIVERSITY CALENDAR

7 - 1876
...base. III. 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. IV. (a) If from any point without a circle two straight lines be drawn one of which cuts the circle...
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Elementary geometrical drawing

Samuel H. Winter - 1878
...circle with a radius of 1^ in., touching the two smaller ones. the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 5. Find both a mean and a third proportional to two straight lines 1'2 and l ' 8 in. long. Measure...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...of its angles equal to a given rectilineal angle. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole line and...parts shall be equal to the square of the other part. 11. Inscribe an equilateral and equiangular hexagon in a given circle. 12. If two equal triangles have...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 48 pągines
...this may be given in the case of a straight line, so divided that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part — a proportion to be hereafter alluded to as of great interest in another connection. Now this whole...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...triangles must be taken. 2. Divide a 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. Show that the point of section lies between the extremities of the line. 3. Upon a given straight line...
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