| John Playfair - 1842 - 332 sider
...E : F. PROP. XVII. THEOR. If three straight lines lie proportionals, the rectangle contained by the extremes is equal to the square of the mean : And if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
| Euclid - 1845 - 218 sider
...PROPOSITION XVII. THEOR. — If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
| Euclides, James Thomson - 1845 - 382 sider
...contained by the extremes is equal to the square of the mean : and (2) if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Let the three straight lines A, B, C be proportionals, viz. A : B... | |
| Euclides - 1845 - 546 sider
...contained by the extremes is equal to the square of the mean; and conversely, if tke rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Let the three straight lines A, B, C be proportionals, viz. as A... | |
| Euclides - 1846 - 272 sider
...B as B to C), the rectangle under the extremes will be equal to the square which is constructed on the mean. And if the rectangle under the extremes be equal to the square constructed on the mean, the three right lines shall be proportional. PART 1. — Assume D equal to... | |
| Dennis M'Curdy - 1846 - 168 sider
...AG; that is, AB : CD :: E : F. 17 Th. If three straight lines be proportionals, the rectangle of the extremes is equal to the square of the mean: and if the rectangle of the extremes be equal to the square of the mean, the three straight lines are proportionals. The... | |
| Euclides - 1846 - 292 sider
...%c. QED PROP. XVII. THEOR. If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and, if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.... | |
| Euclid, John Playfair - 1846 - 334 sider
...rectangle contained by the extremes is equal to the square of the mean : And if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Let the three straight lines, A, B, C be proportionals, viz. as A... | |
| Dennis M'Curdy - 1846 - 166 sider
...proportionals, the rectangle of the extremes is equal to the square of the mean: and if the rectangle of the extremes be equal to the square of the mean, the three straight lines are proportionals. Given three straight lines A, B, C ; such, that AistoBasBistoC: then... | |
| Charles William Hackley - 1847 - 248 sider
...rectangle of the two extremes is equal to the square of the mean ; and, conversely, if the rectangle of the extremes be equal to the square of the mean, the three lines are proportionals. Corol. 2. If the sides about the equal angles of parallelograms or triangles... | |
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