| Benjamin Hallowell - 1872 - 302 sider
...the part produced, with the square of half the line bisected, are together equal to the square of the line which is made up of the half and the part produced.* f Let AB be bisected in C, and produced to D; D -5 then will AD x DB + CB' = CD\ or CB2 (=CD' — AD... | |
| Robert Johnston (F.R.G.S.) - 1873 - 208 sider
...equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus 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... | |
| Braithwaite Arnett - 1874 - 130 sider
...(GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced,...it produced, together with the square on half the lino bisected, is equal to the square on the straight line which is made up of the half and the part... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...bisected and produced to any point, tha rectangle contained by the "whole line thus produced, and the part produced, together with the square on half the line bisected, is equal to the square on the slraiyht line made up of the half and the part produced. Let the straight line AB be bisected in C... | |
| Edward Atkins - 1874 - 426 sider
...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 up of the whole line and the first mentioned part. Let the straight line AB be divided into any two parts in... | |
| Euclides - 1874 - 342 sider
...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 up of the whole and that part. Let the straight line AB be divided into any two parts in the point C. Then four... | |
| Edward Atkins - 1874 - 428 sider
...difference. Proposition 6.— Theorem. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line 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... | |
| alexander thom - 1875 - 758 sider
...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,...half the line bisected, is equal to the square on the line which is made up of the half and the part produced. If a straight line be "drawn from the vertex... | |
| Euclides, James Hamblin Smith - 1876 - 376 sider
...O J> 2 B i L PROPOSITION VI. THEOREM. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced...which is made up of the half and the part produced. L. Let the st. line AB be bisected in C and produced to D. Then must rect. AD, DB together with sq.... | |
| Henry Major - 1876 - 784 sider
...exercise as that set for candidates. 1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...which is made up of the half and the part produced. 2. Given a straight line divided as in proposition 11 ; prove that the rectangle contained by the greater... | |
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