 | General Medical Council (Great Britain) - 1869 - 402 pages
...bisects it. 5. To divide a 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. 6. To describe a square that shall be equal to a given rectilineal figure. 7. If a straight line touch... | |
 | Robert Wallace - 1870 - 164 pages
...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... | |
 | Euclides - 1870 - 270 pages
...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... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1872 - 218 pages
...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... | |
 | Bombay city, univ - 1873 - 614 pages
...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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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... | |
 | University of Madras - 1876 - 580 pages
...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... | |
 | Samuel H. Winter - 1878 - 132 pages
...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... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...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... | |
 | Benjamin Gratz Brown - Geometry - 1879 - 68 pages
...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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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. 
