 | Bedford College - 1888 - 240 pages
...perpendicular bisectors of the sides of a triangle meet at a point. 2. Divide a straight line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other part. 3. Describe a circle to pass through three given points. 4. Draw common tangents... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...that CB=AC, and use Ex. 203. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other. Let AB be the given st. line ; it is required to divide AB into two parts such that the... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute... | |
 | University College, Galway - 1898 - 448 pages
...114*" - 2* + 7. 7. Prove that the sum of any two sides of a triangle is greater than the third side. 8. Divide a straight line so that the rectangle contained by the whole and one part may be equal to the square on the other part. 9. Prove that of two chords of a circle that is greater... | |
 | Education - 1899 - 824 pages
...show that if the lengths of the three sides be 4, 8, and 9 inches, the triangle is obtuse-angled. 5. Divide a straight line so that the rectangle contained by the whole and one part may be equal to the square on the other part. Show that tho difference between the squares on the two... | |
 | 1903 - 898 pages
...DA is equal and parallel to HE. 5. Divide a given straight line into two parts, so that therectangle contained by the whole and one part shall be equal to the square on the other. 6. The straight line AS is bisected at C. With C as centre a circle of any radius is... | |
 | University of Sydney - 1906 - 738 pages
...the 1£ side and of the 1^ side on the 2£ side by calculation. .1. Prove a construction for dividing a straight line so that the rectangle contained by the whole and one part may be equal to the square of the other part. Taking the whole line 4 inches long, find by calculation... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...to the Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line so that the rectangle contained by the whole and one of the parts is equal to the square on the other part. This problem of course appears again in Eucl.... | |
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To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. 
