 | Euclides - 1856 - 168 pages
...straight lines are such as are in the same plane, and being produced ever so far both ways do not meet. A plane surface is that in which any two points being...taken, the straight line between them lies wholly within such surface. In neither of these cases does the definition exhibit a simple analysis of the... | |
 | Robert Rawson - 1856 - 178 pages
...hath only length and breadth, VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. vin. " A plane angle is the inclination of two lines to one another in a plane, which... | |
 | 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 every... | |
 | Euclides - 1857 - 242 pages
...extreme points. 4. A SUPERFICIES is that which has only length and breadth. 5. A PLANE SUPERFICIES is that in which any two points being taken, the straight line between them lies wholly in that superficies. Cor. The extremities of a superficies are lines, and the intersections of one superficies... | |
 | 1858 - 402 pages
...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 being taken, the straight line between them lies wholly in that superficies. Example: the headpiece of a young peer, which lies wholly between the Opera-house and... | |
 | Euclides - 1858 - 248 pages
...is that which has only length and breadth ; it is extension in two directions. DEFINITIONS. 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 - 172 pages
...hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight 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... | |
 | 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 by conceiving... | |
 | Euclides - 1863 - 122 pages
...has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight 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... | |
 | Euclides - 1863 - 74 pages
...outside, without any thickness. DEFINITIONS 7-13, BOOK I. 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,... | |
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A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line. 
