| Charles Butler - Mathematics - 1814 - 528 pages
...<•! a + xx + aa=(aa + %ax+xx=) a+xf; 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. QKD Cor. Hence, if three lines ,r, a 4 ,r, and 2rt + ,r... | |
| 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
...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...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, together with the square... | |
| John Mason Good - 1819 - 800 pages
...bisected, and produned to any point; the rectangle contained hy the whole line thus produced, and Ihe **part of it produced, together with the square of half...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 - 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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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** nf half the. line bisected, is equal to the square of the straight line which is made up of the half... | |
| 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... | |
| John Playfair - Circle-squaring - 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,... | |
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