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
| John Playfair - 1819 - 354 pages
...difference, or that AC3 — CD3 = (AC + CD) (AC-CD)." 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... | |
| Daniel Cresswell - Geometry - 1819 - 446 pages
...itself also touches the circle. PROP. LXXIII. 93. PROBLEM. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. Let AB be a given straight line, and L the side D... | |
| Euclid - 1826 - 234 pages
...right line be divided into two equal parts, and produced to any point, the rectangle contained under the whole line thus produced, and the part produced, together with the square of half the line, is equal to t/ie square of the right line, which is made up of the half and the part... | |
| Euclides - 1826 - 226 pages
...right line be divided into two equal parts, and produced to any point, the rectangle contained under the whole line thus produced, and the part produced, together with the square of half the line, is equal to tJie square of the right line, whkh is made up of the half and the part... | |
| Robert Simson - Trigonometry - 1827 - 546 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... | |
| Hirsch - Algebra - 1827 - 690 pages
...construction is founded on Eue. VI. 13, 17. SECTION LXXIII. Рвов. То produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen it... | |
| Meyer Hirsch - Geometry - 1827 - 288 pages
...construction is founded on Eue. VI. 13, 17. SECTION LXXIII. PROB. To produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen it... | |
| Euclid - 1835 - 540 pages
...rectangle contained by their sum AD and difference DB. 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 ivith the square of half the line bisected, is equal to the square of the... | |
| Mathematics - 1836 - 488 pages
...equal to the rectangle contained by their sum and difference. VI. 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... | |
| John Playfair - Geometry - 1836 - 148 pages
...of CB. Wherefore, If a straight line, &c. QED PROP. XXII. 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... | |
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