 | Euclides - 1884 - 434 sider
...perpendicular drawn from any point in one of its sides to the opposite side, or that side produced. 7. A straight line is said to be cut in extreme and mean ratio when the whole line is to one segment as that segment is to the other. As in the case of medial section, a straight... | |
 | Euclides - 1885 - 340 sider
...position. H. A right line is said to be cut at a point in extreme and mean ratio when the whole line is to the greater segment as the greater segment is to the less. m. If three quantities of the same kind be in continued proportion, the middle term is called a mean... | |
 | Euclid, John Casey - 1885 - 340 sider
...position. n. A right line is said to be cut at a point in extreme and mean ratio when the whole line is to the greater segment as the greater segment is to the less. in. If three quantities of the same kind be in continued proportion, the middle term is called a mean... | |
 | George Albert Wentworth - 1888 - 264 sider
...; n. QEF 355. A straight line is said to be divided in extreme and mean ratio, when the whole line is to the greater segment as the greater segment is to the less. Ex. 218. Construct x if x = Vab. PROPOSITION XXIX. PROBLEM. J 356. To divide a given line in extreme... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...to a side of the other as the remaining side of this other is to the remaining side of the first. 3. A straight line is said to be cut in ' extreme and...greater segment as the greater segment is to the less. 4. The ' altitude ' of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Edward Albert Bowser - 1890 - 420 sider
...prove that PM is a mean proportional between AC and BD. 351. DBF. A straight line is said to be divided in extreme and mean ratio, when the whole is to the...greater segment as the greater segment is to the less. Thus, the line AB is divided in extreme and mean ratio at C if £ £ £ AB : AC = AC : CB. Proposition... | |
 | Euclid - 1892 - 460 sider
...side of the second is to the remaining side of the first. 4. A straight line is said to be divided in extreme and mean ratio when the whole is to the...greater segment as the greater segment is to the less. 5. Two similar rectilineal figures are said to be similarly situated with respect to two of their sides... | |
 | Henry Sylvester Jacoby - 1895 - 198 sider
...in a work published in i854. The golden cut of any line is such a division that the lesser segment is to the greater segment as the greater segment is to the whole, If/ denotes the length of a line and x its larger segment, this relation is expressed by lx... | |
 | Euclid - 1904 - 488 sider
...geometrical results are now very generally omitted. DEFINITION. A straight line is said to be divided in extreme and mean ratio, when the whole is to the...greater segment as the greater segment is to the less. [Book vI. Def. 5.J PROPOSITION 30. PROBLEM. To divide a given straight line in extreme and mean ratio.... | |
 | Edson Homer Taylor, Fiske Allen - 1922 - 176 sider
...learn how to solve a quadratic equation. Dividing a line into two segments such that the whole line is to the greater segment as the greater segment is to the smaller segment is said to be dividing the line into extreme and mean ratio, or finding the golden... | |
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A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less. 
