| Edward Atkins - 1874 - 426 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. **A plane superficies is that in which any two points...the straight line between them lies wholly in that** si^perficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...a common segment. Thus, CA cannot be a continuation of both BC and DC. 6. A plane surface or plane **is that in which any two points being taken, the straight line between them lies wholly in that** surface. Cor.— Hence two plane surfaces cannot enclose a space; nor can one plane surface be the... | |
| Euclides - 1874 - 120 pages
...in every direction and perfectly smooth in every part, we can easily imagine a " Plane superficies **in which any two points being taken, the straight line between them** shall lie wholly in that superficies." Def. 7. This notion or conception is what Euclid means by a... | |
| Edward Atkins - 1876 - 130 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. **A plane superficies is that in which any two points...line 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... | |
| Robert Potts - Geometry - 1876 - 446 pages
...superficies is' that which has only length and breadth. ' VL The extremities of a superficies are lines. VIL **A plane superficies is that in which any two points being taken,** tho straight line between them lies wholly in that superficies. VIIL A plane angle is the inclination... | |
| Edward Atkins - 1877 - 72 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. **A plane superficies is that in which any two points...line 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... | |
| Euclides - 1877 - 58 pages
...superficies is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. **A plane superficies is that in which, any two points...line between them lies wholly in that superficies.** 8. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together... | |
| Moffatt and Paige - 1879 - 378 pages
...SECTION I. (One question.) (a) Define a plane superficies, an isosceles triangle, and an oblong. . **A plane superficies is that in which, any two points...line between them lies wholly in that superficies.** (6) Explain the term Axiom: write out the eleventh axiom ; in which proposition is this axiom first... | |
| Moffatt and Paige - 1879 - 428 pages
...superficies is that*which has only length and breadth. 6. The extremities of superficies are lines. 7. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** 8. A plane angle is the inclination of two lines to each other in a plane, which meet together, but... | |
| Euclides - 1879 - 146 pages
...surface] is that which has only length and breadth. 6. The extremities of a superficies are lines. B 7. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** [All these seven def1nitions express abstract ideas (you will remember the force of the word abstract... | |
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