| 1856 - 422 pages
...lines ; and surfaces intersect ot 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 ¡traiyht line wholly coincides, when applied to it in... | |
| 1858 - 402 pages
...however dull, crosses or intersects another, you will find they do so at the points or pockets still. v. A plane superficies is that in which any two points...line between them lies wholly in that superficies. Example: the headpiece of a young peer, which lies wholly between the Opera-house and the race-course;... | |
| Euclides - 1858 - 248 pages
...two directions. 6. The extremities, or boundaries, of a surface, are lines. 7. — A plane surface is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERO THE ELDER. " A plane surface is that which lies... | |
| Euclides - 1862 - 140 pages
...A straight line is that which lies evenly between its extreme points. 5. A superficies (or surface) is that which has only length and breadth. 6. The...between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in... | |
| Euclides - 1862 - 172 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 angle is the inclination of two lines to one another in a plane, which meet together,... | |
| Euclides - 1863 - 122 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. VIII. A plane angle is the inclination of two lines to one another in a plane, which meet together,... | |
| Edward Vansittart Neale - Natural law - 1863 - 280 pages
...line, which will be considered below. (4) The force of the ancient definition of a plane surface, viz., "that in which, any two points being taken, the straight line between them lies wholly in that surface," becomes apparent. Trendelenberg has suggested that the thought of a plane surface is obtained... | |
| Euclides - 1863 - 74 pages
...thickness. 6. The extremities of a superficies are lines. 7. A plane surface, (planus, level, flat,) is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERON. „ " A plane surface is that which lies evenly,... | |
| Euclides - 1864 - 262 pages
...breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any *wo points being taken, the straight 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,... | |
| Euclides - 1864 - 448 pages
...breadth. VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any +wo points being taken, the straight 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,... | |
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