| 1846 - 536 pages
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane; and **a plane superficies is that in which any two points being taken, the straight line** which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions only, and... | |
| Perry Fairfax Nursey - Industrial arts - 1846 - 536 pages
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane ; and **a plane superficies is that in which any two points being taken,** tho straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions... | |
| Euclides - 1847 - 128 pages
...continually diminishing to the verge of evanescence, and the theory and practice are easily reconciled. 7. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** A plane superficies is more fre- . quently called simply a plane ; and \ \ the derivation of the word... | |
| Euclides - 1848 - 52 pages
...superficies is that which has only length and breadth. VI. The extremities of superficies are lines. , VII. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** VIII. A plane angle is the inclination of two lines to each other in a plane which meet together, but... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** vm. " A plane angle ia the inclination of two lines to one another in a plane, which meet together,... | |
| Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...of a superficies are lines ; and the intersections of one superficies with another are also lines. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,... | |
| Euclides - 1852 - 152 pages
...; that mjig. 2. by one straight line and two lines which are not straight lines, but curves.] VII. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** VIII. " A plane angle is the inclination of two lines to one another in a plane, which meet together,... | |
| Popular educator - 1852 - 842 pages
...lines ; and surfaces intersect or cross each other in lines. A plane turf act, or plane, is a surface **in which any two points being taken, the straight line between them lies wholly in that** surface ; or, it is that surface with which a straight line wholly coincides, when applied to it in... | |
| Euclides - 1853 - 146 pages
...superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together,... | |
| Euclides - Geometry - 1853 - 176 pages
...superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** VIII. A plane angk is the inclination of two lines to one another in a plane, which meet together,... | |
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