 | Euclides - 1814 - 560 pages
...From the point C. draw3 CE at right angles to AB : And make it equal to AC or CB, and join AE, EB ; Let the straight line AB be bisected in C and produced to the point D; the squares of AD, DB are double of the squares of AC, CD. * 3i. i. through E draw ''EF parallel to AB,... | |
 | Euclides - 1816 - 588 pages
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...be bisected in C and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. Ml. 1. From the point C draw* CE at right angles... | |
 | 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...line AB be bisected in C, and produced to the point A B k) ; the rectangle AD.DB, together with the square of CB, is equal to the square of CD. Upon CD... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 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,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in С and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. From the... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 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 - 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, DB, together... | |
 | Euclides - 1826 - 226 pages
...rectangle AM is equal to the gnomon NXO. Let the right line AB be bisected in the point c, and produce it to the point D ; the rectangle AD, DB, together with the square of св, is equal to the square of CD. But AM is the rectangle contained under AD, DB, for DM is equal"... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced, Let the...be bisected in C, and produced to the point D: the squares of AD, DB shall be double of the squares of AC, CD. • 11. 1. From the point C draw *CE at... | |
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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... 
