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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.
A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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Pass school, group A (-D).

...than a semicircle is greater than a right angle. 2 8. Describe a square on a given straight line. 9. 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 on the other part. 10. If a straight line...
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Report of the examination held (Dec. 1859)-73

...of the square of half the line, and of the square of the line between the points of section. 6. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts ehall be equal to the square of the other part. 7. To draw a straight...
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The Elements of Plane Geometry

Euclid - 1845 - 262 páginas
...Q points in the line, CP being greater than CQ ; show that rect. AP . PB<rect. AQ . QB. 3. Divide a straight line into two parts so that the rectangle contained by them may be the greatest possible. 4. A straight line AB, 24 ins. long, is bisected at C and divided unequally...
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Register

University of Cambridge - 1853
...Through two given points draw two lines forming with a line gin in position an equilateral triangle. 3. 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 « the other part. In the figure, if H...
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Examination,Midsummer,1879

Education Department - 1879
...part. Show that this proposition in a particular case of proposition I. of the Second Book. 10. 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. Show that the parts obtained...
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The popular educator, Volumen5

Popular educator - 1860
...to the squares of в D and л с together with four times the square of в PQED Prop. D. Problem. To divide a given straight line into two parts, so that the rectangle contained by its segments shall be tqual to a given square, not greater than the square of half the given straight...
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Register

University of Cambridge - 1854
...BD t other diameter, the difference of the parallelograms is equal to twice the t angle БК D. 4. Divide a given straight line into two parts so that the rectangle со tained by the whole line and one of the parts shall be equal to the square the other part. Produce...
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The Bombay University Calendar

University of Bombay - 1902
...parallelogram A BCD, prove that the difference of the triangles PAß, PAD is equal to the triangle PAC, 4. Divide a given straight line into two parts, so that the rectangle 9 contained by the whole line and one of the parte shall be equal to the square on the other part....
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