| John Playfair - Euclid's Elements - 1806 - 311 pages
...lines ; and the " intersections of one superficies with another are also lines." Book IV v-*~»"WA **plane superficies is that in which any two points being taken, the straight line** between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...superficies is that which hath only length and breadth. The extremities of a superficies are lines. VII. **A plane superficies is that in which any two points being taken,** See N. the straight line between them lies wholly in that superficies. VIII. •- A plane angle is... | |
| Isaac Dalby - Mathematics - 1807
...direction between its extremities ; and is the shortest distance between two points. 7. A plane, or **plane superficies, is that in which any two points being taken, the** right line between them lies wholly ia that plane or superficies. 8. A rectilineal angle is the inclination... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...superficies is that which hath only length and breadth. 6. The extremitin of a superficies are lines. 7. **A plane superficies is that in which any two points being taken, the straight line** between theta lies wholly in that superficies. 8. " A plane angle is the inclination of two lines te... | |
| Charles Butler - Mathematics - 1814
...superficies, as the spherical, cylindrical, conical, and many others. According to this definition, **a plane superficies "is that in which any two points being taken, the straight line** between them lies wholly in that superficies;" the term " plane," in popular language, means that which... | |
| Encyclopedias and dictionaries - 1816
...fnperficies are therefore lines, and the interactions of fupcrficies with one another are alfo lines. 5. **A PLANE SUPERFICIES is that in which any two points being taken, the** ftraight line between them lies wholly in that fupcrficies. 6. A PLANE RECTILINEAL ANGLE is the inclination... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...superficies are lines ; and the intersec" tions of one superficies with another are also lines." V. **A plane superficies is that in which any two points being taken, the straight line** between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two... | |
| John Playfair - 1819 - 317 pages
...superficies are lines ; and the intersec" tions of one superficies with another are also lines." V. **A plane superficies is that in which any two points being taken,** thp straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the... | |
| Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 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 being taken,* the straight line** between them lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines... | |
| Euclid - 1822 - 179 pages
...and are points. DEF. 7. BI The learned Robert Simson gives a different definition of a plane surface. **A plane superficies is that in which any two points being taken, the straight line** between them lies wholly in' that superficies : this indeed is a well known property of a plane ; but... | |
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