 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...the first book ; which for the sake of this proposition ought to be as follows : — A plane surface is that in which any two points being taken, the straight line passing through them lies wholly in I U. t Bin-face. duced to D ; and let any plane pass through AD,... | |
 | Euclides - 1846 - 292 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. VIH. A plane angle is the inclination of two lines to one another in a plane, which meet... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...lines ; and the intersections of " one superficies with another are also lines." 5. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 6. A plane rectilineal angle is the inclination of two straight lines to one another,... | |
 | Reynell Coates - Physics - 1846 - 692 pages
...point to another will be entirely within the surface. Hence the following definition. A plane surface is that in which any two points being taken, the straight line between them lies wholly within that surface. Such surfaces when considered indefinitely, are usually called simply — planes.... | |
 | Nathaniel Bowditch - 1846 - 854 pages
...shortest distance between the two points which limit its length/is AC. 4 g III. A PLANE SUPERFICIES is that in which any two points being taken, the straight line between diem lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane, and which,... | |
 | 1846 - 536 pages
...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... | |
 | Euclides - 1847 - 128 pages
...the verge of evanescence, and the theory and practice are easily reconciled. 7. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. A plane superficies is more fre- . quently called simply a plane ; and \ \ the derivation... | |
 | Euclides - 1848 - 52 pages
...has only length and breadth. VI. The extremities of 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 each other in a plane which meet... | |
 | Euclid, Thomas Tate - 1849 - 120 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. vm. " A plane angle ia the inclination of two lines to one another in a plane, which meet... | |
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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. 
