| Joseph Battell - Force and energy - 1903 - 722 pages
...superficies are lines; and the intersections of "one superficies with another are also lines." '5. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.'** "A note says: 'The definitions marked with inverted commas are different from those of Euclid.' "The... | |
| Joseph H. Rose - Sheet-metal work - 1906 - 340 pages
...line are points. A straight line is that which lies evenly between its extreme points. A plane surface **is that in which any two points, being taken, the straight line between them lies wholly in that** surface. The extremities of a surface are lines. A plane rectilineal angle is the inclination of two... | |
| Nathaniel Bowditch - Nautical astronomy - 1906 - 670 pages
...right line is the shortest distance between two points on a plane surface. A. plane surface is one **in which, any two points being taken, the straight line between them lies wholly** within that surface. I'uritllel HnfK are such as are in the same plane and if extended indefinitely... | |
| Archibald Williams - Electric machinery - 1907 - 438 pages
...important in engineering than the truly curved surface is the true plane, in which, as Euclid would say, **any two points being taken, the straight line between them lies wholly in that superficies.** The lathe depends for its efficiency on the perfect flatness of all areas which should be flat —... | |
| Archibald Williams - Electric machinery - 1908 - 430 pages
...important in engineering than the truly curved surface is the true plane, in which, as Euclid would say, **any two points being taken, the straight line between them lies wholly in that superficies.** The lathe depends for its efficiency on the perfect flatness of all areas which should be flat —... | |
| Nathaniel Bowditch - Nautical astronomy - 1916 - 912 pages
...l'Kjlit line is the shortest distance between two points on a plane surface. A plant surface is one **in which, any two points being taken, the straight line between them** liée wholly within that surface. Parallel line» are such as are in the same plane and if extended... | |
| William J. Claxton - Aeronautics - 1920 - 290 pages
...applied to the supporting structure of an aeroplane. Euclid defines a plane, or a plane surface, as one **in which, any two points being taken, the straight line between them lies wholly in that** surface. But the plane of a flying machine is curved, or cambered, and if one point were taken on the... | |
| Nathaniel Bowditch - 1920 - 840 pages
...right line is the shortest distance between two points on a plane surface. . A. plane surface is one **in which, any two points being taken, the straight line between them lies wholly** within that surface. Parallel lines are such as are in the same plane and if extended indefinitely... | |
| D. Ponton - Mathematics - 1927 - 168 pages
...length, and breadth, but no thickness. The Boundaries of a surface are lines. A Plane Surface is one **in which, any two points being taken, the straight line between them lies wholly in that** surface. An Angle is the inclination of two lines to one another, which meet together, but are not... | |
| English literature - 1838 - 596 pages
...intelligible and as obviously possible, as, for instance, the common definition of a plane superficies, ' **that in which any ' two points being taken, the straight...line between them lies ' wholly in that superficies** : ' and, further, that no one, who is incapable of conceiving the existence of lines so defined, can... | |
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