 | Moffatt and Paige - 1879 - 506 pages
...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 - Geometry - 1879 - 44 pages
...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 - 190 pages
...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 - 1486 pages
...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 - Euclid's Elements - 1880 - 426 pages
...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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 - Euclid's Elements - 1881 - 236 pages
...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 - 528 pages
...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.) - Examinations - 1882 - 152 pages
...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 - 278 pages
...(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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Iff 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 up of the whole and that... 
