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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 1
by Euclid - 1892 - 518 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 straight lines to one another,...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...points. 5. A superficies or surface has length and breadth, but thickness. 6. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. -- , t 7- A plane rectilineal angle is the inclination of two straight lines to one another,...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...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 is perfectly fiat, or level)...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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 straight lines to one another,...
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The First Six Books with Notes

Euclid - 1822 - 222 pages
...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 as it can easily be deduced from...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - Industrial arts - 1823 - 704 pages
...Superficies are either plane, rectilinear, curvilinear, convex, or concave. — A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. — A rectilinear superficies is that which is bounded by right lines. — A curvilinear...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points being taken, the straight 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...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...distance between the two points which limits its length, as A - С III. A PLANE SUPERFICES is that in which any two points being taken, the straight line between them lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane AB and which extended infinitely do never meet,...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...and the intersections of superficies with one 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,which...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...convex. 7. (Eue. i. def. 7.) A. plane surface, or plane, is that, in which any two points whatsoever being taken, the straight line between them lies wholly in that surface. 8. A surface, of which no part is. plane , is said to be curved. 9. If there be two straight lines...
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