 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 square on half the line bisected, is equal to the square on the straight line which is...  Euclid - Page 126by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
 | Edward Atkins - 1874 - 426 pages
...contained by their sum and 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 with the square on half the line bisected, is equal to the square on the straight... | |
 | Braithwaite Arnett - 1874 - 130 pages
...base and between the same parallels are equal to one another. 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 square on half the line bisected, is equal to the square on the straight... | |
 | 1874 - 682 pages
...square on the part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle, and hare... | |
 | Edward Atkins - 1874 - 428 pages
...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 up of the half and the part produced, AD-DB The rectangle AD, DB, together... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...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 squares... | |
 | alexander thom - 1875 - 758 pages
...\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, and the part of it produced, together with the square on half the line bisected, is equal to the square on the line... | |
 | Education Department,London - 1876 - 1010 pages
...of the hypotenuse and the other sides construct the triangle. 1. 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 •»ith the square on half the line bisected, is equal to the square on the... | |
 | Henry Major - 1876 - 784 pages
...know of their history. Same 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, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight... | |
 | Edward Atkins - 1876 - 130 pages
...contained by their sum and 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 with the square on half the line bisected, is equal to the, square on the... | |
 | Medicine - 1876 - 610 pages
...alternate angles equal, those straight lines shall be parallel. 4. 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 square of half the line bisected, is equal to the square of the line... | |
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