 | 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,... | |
 | Charles Butler - 1814 - 582 pages
...xx=) a + x}*; that is, the rectangle contained by the line produced and part produced, together with the square of half the line bisected, is equal to the square of the line made up of the half, and part produced. QED Cor. Hence, if three lines x, a-\ x, and 2a + r be... | |
 | Euclides - 1816 - 588 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C; four times... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...PROP. VIII. (VII.) If a straight line be divided into five equal parts, the square of the whole line is equal to the square of the straight line, which is made up of four of those parts, together with the square of the straight line which is made up of three of those... | |
 | John Playfair - 1819 - 354 pages
...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...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 Mason Good - 1819 - 800 pages
...the rectangle contained hy the whole line thus produced, and Ihe part of it produced, together with the square of half the line bisected, is equal to...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 - Circle-squaring - 1819 - 350 pages
...reftanglt contained by the whole line, and one of the parts, together •with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...VII. 9. THEORKM. If a straight line be divided into five equal parts,- the square of the ~vhok line is equal to the square of the straight line, which is made up of four of those parts, together with (he square of the straight line which is made up of three of those... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made tip of the whole and that part. j Let the straight line AB be divided into any two parts in the point... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the poin С ; four times... | |
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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, together with the square of half the line bisected, is equal to the square of the straight line which is made... 
