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 Books Bücher 61 - 70 von 196 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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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852
...sides which contain the right angle. Is this proposition included in any more general one ? (2.) To 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. Can this be solved arithmetically ? if so, find approximately into how many parts...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...part produced (25). These two Propositions may be omitted at the first reading.] PEOP. XL PROB. To 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. Let AB be the given straight line ; it is required to divide it into two parts,...
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Five Years in an English University, Band 2

Charles Astor Bristed - 1852
...every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. The angle at the centre of a circle is double of the angle at the circumference,...
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The works of William Cowper, with a life of the author, by the editor R. Southey

William Cowper - 1852
...two sides which contain the right angle. Is this proposition included in any more general one ? 2. To divide a given straight line into two parts, so that the rectangle contained hy the whole and one of the parts, shall be equal to the square of the other part. Can this be solved...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...are double of the squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. — PROBLEM. To 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. Let AB be the given straight line ; it is required to divide it into two parts,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...are double of the squares of AC, CD. Wherefore, if a straight line, etc. QED PROPOSITION XI. PROB. To 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. Upon AB describe (46. i.) the square ABDC ; bisect (10. i.) AC in E, and join BE...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 Seiten
...С d. Wherefore, if a straight line, &c. QED PROPOSITION XI. — PROBLEM. To divide a given straigM line into two parts, so that the rectangle contained...and one of the parts shall be equal to the square of the other part. LET ab be the given straight line ; it is required to divide it into two parts,...
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Solutions of the problems and riders proposed in the Senate-house ...

...BD the other diameter, the difference of the parallelograms is equal to twice the triangle BKD. 2. 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. Produce a given straight...
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Solutions of the Problems and Riders Proposed in the Senate-House ...

William Walton, Bishop Charles Frederick Mackenzie - 1854 - 225 Seiten
...BD the other diameter, the difference of the parallelograms is equal to twice the triangle BSD. 2. 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. Produce a given straight...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...the remarks at the end of this book. PROPOSITION XI.— PROBLEM. To divide a given straight line (AB) into two parts, so that the rectangle contained by the whole, and от of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and...
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