 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
 | Robert Mudie - Mathematics - 1836 - 524 pages
...stated. Geometrically, this last truth is usually enunciated : " 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 straight... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...RECTANGLE. 473 Geometrically, this last truth is usually enunciated : " 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 straight... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...contained by their sum and difference. 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 of half the line bisected, is equal to the square of the straight... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...and difference of the hypotenuse and the other. PROP. VI. THEOR. 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... | |
 | Euclides - 1838 - 264 pages
...rectangle contained by their sum and difference. PROP. VI. THEOR. 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 straight... | |
 | Euclides - Geometry - 1841 - 378 pages
...rectangle contained by their sum and difference. PROP. VI. THEOR. 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 straight... | |
 | Euclides - 1842 - 316 pages
...rectangle contained by their sum and difference. PROP. VI. THEOR. 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 equivalent to the square of... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...equivalent to the difference of their squares PROP. VI THEOR. If a straight line be bisected, and producedto 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 straight... | |
 | Scottish school-book assoc - 1845 - 444 pages
...Cor. 8. If a straight line AB be bi- A c ^ T sected in C, and produced to D, the 1 rectangle AD-DB contained by the whole line thus produced, and the part produced, together with the square on CB half the line, will be equal to the square described on the line CD, made up of half the line and... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...difference of the hypotenuse and the other. PROP. VI. THEOR. — If a straight line be bisected, and be 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 straight... | |
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