 | John Mason Good - 1813 - 714 pages
...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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the «traight line which U made up of the half... | |
 | Euclides - 1816 - 588 pages
...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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...subtend equal angles, at the center of the circle. (LXVII.) 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. (LXVII i.) If, from the bisection of any given arch of a circle,... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...(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,...the part of it produced, together with the square nf half the. line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...By the help of this proposition and (E. 14. 2.), a given straight line may be produced, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given rectilineal figure. PROP. LXXIV. contained by the two parts of the straight... | |
 | John Mason Good - 1819 - 800 pages
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and. the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line,... | |
 | John Playfair - 1819 - 354 pages
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point A B k) ; the rectangle AD.DB,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclid - 1826 - 234 pages
...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 produced. Let the right line AB be bisected in the point с, and produce it to the point D ; the rectangle AD,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
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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... 
