 | John Mason Good - 1813 - 714 sider
...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...half the line bisected, is equal to the square of the «traight line which U made up of the half and the part produced. Prop. VII. Theor. If a straight line... | |
 | Charles Butler - 1814 - 528 sider
...<•! 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 sider
...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 - 1817 - 454 sider
...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 Mason Good - 1819 - 800 sider
...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 - 1819 - 446 sider
...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... | |
 | Euclid, Robert Simson - 1821 - 514 sider
...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 - 1825 - 1046 sider
...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... | |
 | Euclid - 1826 - 234 sider
...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... | |
 | Robert Simson - 1827 - 546 sider
...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... | |
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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 on half the line bisected, is equal to the square on the straight line which is made... 
