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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. "
First book of mathematics - Page 5
by Hugo Reid - 1872 - 124 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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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
....'11.1! is. a curved line. 5. A surface is that which has length and breadth, without thickness. 6. A plane is a surface, in which any two points being taken, the straight line joining those points lies wholly in that surface. 7. Every surface, which is neither a plane nor composed...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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...
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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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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 276 pages
...and AEB is a curved line. 5. A surface is that which has length and breadth, without thickness. 6. A plane is a surface, in which any two points being taken, the straight line joining those points lies wholly in that surface. 7. Every surface, which is neither a plane nor composed...
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