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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 263
by Charles Butler - 1814
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...superficies is that which has 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. vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together,...
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Technologisches Wörterbuch der deutschen, französischen und ..., Volume 2

J. A. Beil - 1855 - 756 pages
...that has length and breadth only) (Geom.) * Die Flache, Oberflciche * Surface,/. The plane surface (that in which any two points being taken the straight line between them lies wholly in that surface) * Die Ebenc, die ebene Flache « Plan, m. The curved surface (that which gives a curve, when...
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Notes and Queries

Electronic journals - 1854 - 816 pages
...than two right angles. 5. All straight lines are equal to one another. 6. A plane superficies is one in which any two points being taken, the straight line between them lies wholly in that superficies. (It is called in Euclid a definition, and is there redundant.) I need hardly add, that all other so-called...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 pages
...of " one superficies with another are also lines." 5. A plane superficies is that in which any twc 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 meet together,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...extremities of a superficies or surface, are here meant, the boundaries or edges of the surface. VII. A plane superficies is that in which any two points being taken, tho straight line between them lies wholly in that superficies. A plane superficies, or simply, a plane,...
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Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856 - 200 pages
...superficies is that which hath only length and breadth, VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any two points...line between them lies wholly in that superficies. vin. " A plane angle is the inclination of two lines to one another in a plane, which meet together...
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The Popular Educator, Volume 1

1856 - 422 pages
...lines ; and surfaces intersect ot cross each other in lines. A plane turf act, or plane, is a surface in which any two points being taken, the straight line between them lies wholly in that surface ; or, it is that surface with which a ¡traiyht line wholly coincides, when applied to it in...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...such as are in the same plane, and being produced ever so far both ways do not meet. A plane surface is that in which any two points being taken, the straight line between them lies wholly within such surface. In neither of these cases does the definition exhibit a simple analysis of the...
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The Train, Volume 5

1858 - 402 pages
...however dull, crosses or intersects another, you will find they do so at the points or pockets still. v. A plane superficies is that in which any two points...line between them lies wholly in that superficies. Example: the headpiece of a young peer, which lies wholly between the Opera-house and the race-course;...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...two directions. 6. The extremities, or boundaries, of a surface, are lines. 7. — A plane surface is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERO THE ELDER. " A plane surface is that which lies...
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