| Moffatt and Paige - 1879
...line, etc. QED Proposition VIII. Theorem. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which is made... | |
| W J. Dickinson - 1879 - Liczba stron: 36
...never less than twice their rectangle. 8. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a 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. If the solution is obtained by a quadratic equation and one... | |
| Pupil teachers - 1880
...never less than twice their rectangle. 8.If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Isaac Todhunter - 1880 - Liczba stron: 400
...straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which u made... | |
| Euclid, F. B. Harvey - 1880 - Liczba stron: 119
...the square on BC. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which is made... | |
| Euclides - 1881
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet **the rectangle contained by the whole line, and one of the parts,** toe/ether with the square of the other part, is equal to the square of the straight line, which it... | |
| College of preceptors - 1882
...the two parts increased by twice the rectangle contained by the two parts. 6. Show how to divide a **straight line into two parts such that the rectangle contained by the whole line and one** part shall be equal to the square described upon the other part. Prove the construction. 7. Define... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...equal each to each, and the third angle of the one to the third angle of the other. 5. Divide a given **straight line into two parts such that the rectangle contained by the whole** and one part may be equal to the square on the other part. 6. In an isosceles triangle ABC, prove that... | |
| Marianne Nops - 1882
...(I. 47). Prop. XI., the first problem in the book is 'To divide a straight line into two parts, so **that the rectangle contained by the whole line and one of the parts** is equal to the square on the other.' Adopting the method of analysis we will assume that the point... | |
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