| Euclid, James Thomson - 1845 - 382 pàgines
...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,... | |
| Euclid, John Playfair - 1846 - 334 pàgines
...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. 6. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,... | |
| Euclides - 1846 - 292 pàgines
...superficies is that which hath only length and breadth. vi. The extremities of a superficies are lines. vn. A plane superficies is that in which, any two points...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 together,... | |
| Great Britain. Admiralty - 1846 - 128 pàgines
...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,... | |
| Reynell Coates - 1846 - 692 pàgines
...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 pàgines
...RIGHT LINE, is the 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,... | |
| Euclides - 1847 - 128 pàgines
...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 pàgines
...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 pàgines
...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 - 1851 - 826 pàgines
...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,... | |
| |