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Llibres Llibres 41 - 50 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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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852
...? (2.) 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. Can this be solved arithmetically ? if so, find approximately into how many parts the given line must...
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Five Years in an English University, Volum 2

Charles Astor Bristed - 1852
...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, upon the same base,...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...the squares of AD, DB are double of the squares of AC, CD. Which was to be proved. PEOP. XI. PEOB. To divide a given straight line into two such parts,...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 such parts, that the rectangle...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...the question in its literal meaning. 2. To divide a line of 20 inches in length into two parts such that the rectangle contained by the whole line and...parts shall be equal to the square of the other part. Let x = the greater part ; then 20 — x = the less part, and hence by the question we have x8 = 20...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pągines
...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. Upon ab describe (i. 46) the square abdС; bisect (i. 10) a С in e, and join be, produce С a to f,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...PROB. 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. Upon AB describe (46. i.) the square ABDC ; bisect (10. i.) AC in E, and join BE ; produce CA to F,...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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. Upon AB describe (1. 46.) the square ABDC ; bisect (I. 10.) AC in E, and join BE; produce CA to F,...
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Solutions of the Problems and Riders Proposed in the Senate-House ...

William Walton, Bishop Charles Frederick Mackenzie - 1854 - 225 pągines
...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...parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854
...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...parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...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 equal to AB;* bisect AC in E,t and draw BE. Prolong С A to F, making...
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