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" 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 together, but are not in the same direction. "
A Treatise on Surveying: Containing the Theory and Practice ; to which is ... - Page 25
by John Gummere - 1833 - 368 pages
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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 being taken, the straight line between them lies wholly in that superficies. 8. A plane rectilineal angle is the inclination of two...
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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 being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to...
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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 being taken, the straight line between them lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines...
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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
...one surface with another is also a line. 5. A plane surface, or, as it is generally called, a plane, is that in which any two points being taken, the straight line between them lies wholly in that surface.* Cor. Hence two plane surfaces cannot enclose a space. Neither...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 44

1846 - 536 pages
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane; and a plane superficies is that in which any two points...straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions only, and as the " proposition" follows without...
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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 being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to...
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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 being taken, the straight line between them lies wholly in that superficies. VIH. A plane angle is the inclination of two lines to...
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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 being taken, the straight line between them lies wholly in that superficies. 6. A plane rectilineal angle is the inclination of two...
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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...
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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...
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