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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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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...The extremities of a superficies are lines. Superficies are either Plane, Concave, or Convex. VII. A Plane Superficies is that in which any two points...line between them lies wholly in that superficies. Every plane superficies is completely flat or even, and is either Horizontal, Vertical, or an Inclined...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...superficies is that which has only length and breadth. VI. The extremities of 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 each other in a plane which meet together, but...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...superficies is that which hath only length and breadth. 6. The extremities of a superficies are lines. 7- A plane superficies is that in which any two points...line between them lies wholly in that superficies. 8. A plane rectilineal angle is the inclination of two straight lines which meet in a point, but are...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...the first book ; which for the sake of this proposition ought to be as follows : — A plane surface is that in which any two points being taken, the straight line passing through them lies wholly in I U. t Bin-face. duced to D ; and let any plane pass through AD,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 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. VIH. A plane angle is the inclination of two lines to one another in a plane, which meet together,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 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. VIII. A plane angle is the inclination of two lines to one another in a plane, which meet together,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...superficies are lines ; and the intersections of " one superficies with another are also lines." 5. A plane superficies is that in which any two points...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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First Lines of Natural Philosophy, Divested of Mathematical Formulae: Being ...

Reynell Coates - Physics - 1846 - 692 pages
...point to another will be entirely within the surface. Hence the following definition. A plane surface is that in which any two points being taken, the straight line between them lies wholly within that surface. Such surfaces when considered indefinitely, are usually called simply — planes....
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The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 854 pages
...RIGHT LINE, is the shortest distance between the two points which limit its length/is AC. 4 g III. A PLANE SUPERFICIES is that in which any two points being taken, the straight line between diem lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane, and which,...
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