| Euclides - 1879
...equal to a given square. Is this always possible ? PROPOSITION VIII. THEOREM. If a straight line be **divided into any two parts, four times the rectangle...line which is made up of the whole and that part.** D H Let AB be divided into any two parts at C. Then four times rect. AB, BC with sq. on AC = sq, on... | |
| Euclides, James Hamblin Smith - 1879
...BC=twice rect. .4£, BCtogether with sq. on AC QED JH a PROPOSITION VIII. THEOREM. If a straight line be **divided into any two parts, four times the rectangle...parts, together with the square on the other part, is** eqtial to the square on the straight line which is made up of the whole and the first part. -A' & 'B... | |
| W J. Dickinson - 1879 - 36 sider
...sum of the squares on two lines is never less than twice their rectangle. 8. If a straight line be **divided into any two parts, four times the rectangle...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... | |
| University of Madras - 1879
...line thus produced and the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. V. Produce a given straight Hue so that the rectangle contained by the... | |
| Edward Harri Mathews - 1879
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. The rectangle under the sum and difference of two straight lines is equal... | |
| Moffatt and Paige - 1879
...line thus produced and the part of it produced, together •with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C and produced to the point D.... | |
| Great Britain. Civil Service Commission - 1879
...an angle equal to a given rectilineal angle. 4. Divide a given straight line into two parts, so that **the rectangle contained by the whole line and one of the parts** may be equal to the square on the other part. 5. Angles in the same segment of a circle are equal to... | |
| University of Oxford - 1879
...angles equal to a given rectilineal angle. 9. Divide a given 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. 11. Inscribe an equilateral and equiangular hexagon... | |
| Isaac Todhunter - 1880 - 400 sider
...the square on AC. Wherefore, if a straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be **divided into any two parts, four times the rectangle...is equal to the square on the straight line which** u made up of the whole and thai part. Let the straight line AB be divided into any two parts at the... | |
| Pupil teachers - 1880
...the sum of the squares on two lines is never less than twice their rectangle. 8.If a straight line be **divided into any two parts, four times the rectangle...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... | |
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