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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. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Page 3
by Euclides - 1877
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 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...line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...its extreme points. 5. A superficies is that which hath only length and breadth. 6. The extremitin of a superficies are lines. 7. A plane superficies...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 one another...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

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

Charles Butler - Mathematics - 1814 - 528 pages
...superficies, as the spherical, cylindrical, conical, and many others. According to this definition, a plane superficies "is that in which any two points...line between them lies wholly in that superficies;" the term " plane," in popular language, means that which is perfectly fiat, or level) now if two points...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 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...line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 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...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,...
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The First Six Books with Notes

Euclid - 1822 - 222 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...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 Euclid's definition...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

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

Peter Nicholson - Mathematics - 1825 - 1046 pages
...straight line is that which lies evenly between its extreme points. 5. A superficies is that which hath only length and breadth. 6. The extremities of a superficies...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 are not in...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...shortest 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...
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