 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
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...the squares of the two unequal parts are together double of the square of half the Hue bisected, and the square on the line made up of the half and the part produced ........ 62 THEOREM 29. In any right-angled triangle the square on the hypothenuse is equivalent to... | |
 | Robert Potts - 1868 - 434 pages
...by their sum AD and their difference DB. PROPOSITION VI. THEOREM. Tfaitraight line be bisected, and produced to any point; the rectangle contained by the whole line thus prodlwed, and the part of it produced, together with the square on half the line bisected, i3 equal... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...and have one of its angles 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 square of half the line bisected, is equal to the straight line which... | |
 | Euclides - 1871 - 136 pages
...= sum of AL and CH and LG = sum of DF and CH and LG = sq. on CB. 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...DF and CH and LG sq. on CB. QED B. £ L PROPOSITION VI. 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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...under the whole line thus produced and the produced part, together with the square on half the line, is equal to the square on the line made up of the half line and the produced part. The propositions required for the construction and proof in this proposition... | |
 | Euclides - 1872 - 102 pages
...parallelograms is equal to twice the triangle BKD. II. 11. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall bo equal to the square on the given straight line. in. 22. If the opposite sides of the quadrilateral... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...rectangle contained by their sum AD and their difference DB. VI. — If a straight line be bisected, and produced to any point . the rectangle contained by...produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight line made up of the half and part... | |
 | Euclides - 1874 - 120 pages
...produced to any point, t7ie 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 made up of the half and the part produced. j Let the straight line AB he hisected... | |
 | Euclides - 1874 - 342 pages
...sum (AD) and their difference (DB). 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... | |
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