| Robert Johnston (F.R.G.S.) - 1873
...shall be equal to a given triangle, and have one of ita angles equal to a given rectilineal angle. 3. **If a straight line be bisected, and produced to any...produced, and the part of it produced, together with the** equare of half the line bisected, is eqiml to the straight line which is made up of the half and the... | |
| Henry Major - Student teachers - 1873
...unequ*' lines AC, CD, is equal to the rectangle contained by their sum AD and their difference DB. **VI. — If a straight line be bisected, and produced...contained by the whole line thus produced, and the part** produced, together with the square of half the line bisected, is equal to the square of the straight... | |
| 1874
...AC, CD is equal to the rectangle contained by their sum and difference. Proposition 6.— Theorem. **If a straight line be bisected, and produced to any...thus produced and the part of it produced, together** ivith the square on half the line bisected, is equal to the square on the straight line which is made... | |
| Charles Mansford - 1874
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie **rectangle contained by the whole line thus produced,...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... | |
| 1874
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. **If a straight line be bisected and produced to any point, the** 'uare on the whole line thus produced, and the square on the irt of it produced, are together double... | |
| James Bryce - 1874
...line. How many solutions are there? When is the problem impossible? 13. Produce a given line, so that **the rectangle contained by the whole line thus produced, and the part** produced, shall be equal to a given square. 14. Divide a line into two parts, so that the sum of the... | |
| 1874
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. **If a straight line be bisected, and produced to any point, the** square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...the squares on AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION 10.— Theorem. **If a straight line be bisected, and produced to any point, the** square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| 1874
...squares about the diameter are 169 and 625 square feet in area, what is the area of each complement ? 3. **If a straight line be bisected and produced to any point, the** square on the whole line thus produced and the square on the part of it produced, are together double... | |
| alexander thom - 1875
...\8H.—Morning. Professor ALLMAN, LL.D. 1. If a straight line be bisected and produced to any point, prove that **the rectangle contained by the whole line thus produced,...the part of it produced, together with the square** on half the line bisected, is equal to the square on the line which is made up of the half and the... | |
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