| John Playfair - 1806 - 320 páginas
...rectangle contained by their sum and difference, or that AC*— -CD2=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... | |
| Robert Simson - 1806 - 546 páginas
...unequal lines AC, CD, is equal to the 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... | |
| John Mason Good - 1813 - 714 páginas
...of the line between the points of section, is equal to the square of half the line. 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... | |
| Euclides - 1816 - 588 páginas
...lines AC, CD, is equal to the rectangle contained by their sum and difference. M ^5' 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... | |
| John Playfair - 1819 - 354 páginas
..." contained by their sum and 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... | |
| Peter Nicholson - 1825 - 1046 páginas
...AC, CD, is equal to the rectangle contained by their sum and difference. Proposition VI. Theoretn. **If a straight line be bisected, and produced .to any point : the** recangle contained by the whole line thus produced, and the part of it produced, together with the... | |
| Robert Simson - 1827 - 546 páginas
...unequal lines, AC, CD, is equal to the 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... | |
| John Playfair - 1832 - 358 páginas
...away the equal rectangles 2BC.CD and 2AC.CD, there re" mains AD"+DBa =2AC-+2CD'. " PROP. X. THEOR. Jf **a straight line be. bisected, and produced to any point, the square** of the. whole line thus produced, and the square of the ^part of 'it produced, are together double... | |
| John Playfair - 1833 - 346 páginas
...taking away the equal rectangles 2BC. CD and 2AC.CD, there re" mains AD2+DB2=2ACH2CD2." PROP. X. THEOR. **If a straight line be bisected, and produced to any point, the square** of the whole line thus produced, and the square of the part of it produced, are together double of... | |
| Euclid - 1835 - 540 páginas
...lines AC, CD, is equal to the 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... | |
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