 | Robert Simson - Trigonometry - 1775 - 534 pages
...fquares of AD, DB are double of the fquares of AC, CD. If therefore a ftraight line, &c. QED PRO PX THEO R. TF a ftraight line be bifected, and produced...and the part produced. Let the ftraight line AB be bife&ed in C, and produced to the point D; the fquares of AD, DB arc double of the fquarcs of AC, CD.... | |
 | Euclid - 1781 - 552 pages
...be bifected, and produced to any point, the fquare of the whole line thus produced, and the iquare of the part of it produced, are together double of...the fquare of the line made up of the half and the pait produced. • i Let the ftraight line AB be bifected in C, and produced to the point D ; the fquares... | |
 | John Playfair - Euclid's Elements - 1795 - 462 pages
...together with the fquare of half the line bife&ed, is equal to the fquare of the ftraight line which is made up of the half and the part produced. Let the...be bifefted in C, and produced to the point D ; the reftangle AD, DB, together with the fquare of CB, is equal to the fquare of CDUpon CD defcribe a the... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...ftraight line, &.c. Q^ED PROP. X. THEOR. 5« N. rp a ftraight line be bifected, and produced to any J point, the fquare of the whole line thus produced,...and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the fquares of AD, DB are double of the fquares of AC,... | |
 | Robert Simson - Trigonometry - 1804 - 528 pages
...with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the rectangle AD, DB together with the fquare of CB, is... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...part of it 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 suaight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of... | |
 | John Mason Good - 1813 - 714 pages
...part of it 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. Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle contained by... | |
 | Euclides - 1816 - 592 pages
...part of it 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 C and produced to the point D ; the squares of AD, DB are double of... | |
 | John Playfair - 1819 - 354 pages
...the part of it produced, are together double of the square of half the line bisected, and of the so of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of... | |
 | Peter Nicholson - Mathematics - 1825 - 1058 pages
...part of it 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... | |
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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 the square of half the line bisected, and of the square of the line made up of the... 
