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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 13
by John Gummere - 1828 - 216 pages
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...thickness. 6. The extremities of a superficies are lines. 7. A plane surface, (planus, level, flat,) is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERON. „ " A plane surface is that which lies evenly,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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 to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...superficies is that which has 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. VIII. A plane angle is the inclination of two lines to...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...surface are lines, and the intersections of one surface with another are also lines. 6. A PLANE SURFACE is that in which any two points being taken, the straight line between them lies wholly in that surface. Cor. Hence if two plane surfaces coincide in more than two...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 172 pages
...super/ides 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 angle is the inclination of two lines to one...
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Outlines of Geometry ...

Walter Marsham Adams - 1866 - 114 pages
...said in Geometry to be plane; and we have its definition as follows : — A Plane, or a Plane Surface, is that in which any two points being taken, the straight line between them lies wholly in that surface. We shall obtain a simpler definition in a future chapter....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...superficies is that which has 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...
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Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868 - 132 pages
...coincide wholly. Other lines are called broken, curved, or mixed, as Def. 5. A plane surface is one in which, any two points being taken, the straight line which joins them lies wholly in that surface. Hence the practical test of a plane surface is that the straight edge of a ruler shall lie...
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Elementary Mensuration for the use of schools, etc

Septimus Tebay - Measurement - 1868 - 168 pages
...which lies evenly between its extreme points. 5. A superficies is that which has length and breadth. 6. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 7. A plane rectilineal angle is the inclination of two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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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