| 1885 - 608 pages
...double of the square on half the line and of the square on the line between the points of section. 4. **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 on the other part.... | |
| Dalhousie University - 1887 - 206 pages
...which the four small triangles stand to one another. \ 4. If a straight line be divided into two parts, **the squares on the whole line, and on one of the parts,** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...AGF, AEH&ce. together equal to the triangle ABC. 4. If a straight line be divided into any two parts, **the squares on the whole line, and on one of the parts,** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...importance will be attached to accuracy '.] 1. If a straight line be divided into any two parts, prove **that the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 7. **To divide a given straight line into two parts, so that the** rectangle contained by the whola and one of the parts may be equal to the square on the other part.... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the locus of D is a circle. Produce AC to B so 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... | |
| Euclid - Geometry - 1890 - 442 pages
...each side, we get sq. on AX + sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — **To divide a given straight line into two parts so that the** rectangle contained by the whole and one part may be equal to the square on the other part. Let AB... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...square on half the line and of the square on the 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... | |
| Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - Education - 1906 - 556 pages
...equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, **the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
| Education - 1891 - 442 pages
...that the diagonal bisects it SECTION III. 7. If a straight line be divided into any two parts, then **the squares on the whole line and on one of the parts** are equal to twice the rectangle, contained by the whole and that part together with the square on... | |
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