| John Mason Good - 1813
...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 square** of half the line bisected, is equal to the square of the «traight line which U made up of the half... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...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 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 - 436 pages
...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 - 333 pages
...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 and the part produced. Let the straight** lino AB be bisected in C, and produced to the point A K C T> ] / Ft-. X, / H. M H M D ; the rectangle... | |
| John Playfair - 1819 - 317 pages
...(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 line which is made up of the half... | |
| John Mason Good - 1813
...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,... | |
| Daniel Cresswell - Geometry - 1819 - 410 pages
...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 EX of a given square... | |
| Peter Nicholson - Mathematics - 1825 - 372 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, John Playfair - Euclid's Elements - 1826 - 320 pages
...together with the square of half the line biseeted, is equal to the square of the straight line whieh **is made up of the half and the part produced. Let the straight line AB be** biseeted in C, and produeed to the point D ; the reetangle AD.DB, together with the square of CB, is... | |
| Euclid - 1826 - 180 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, DB, together... | |
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