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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 - 1840 - 414 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 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 being taken, the straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pages
...superficies is that which hath only length and breadth. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, See N. the straight line between them lies wholly in that superficies. VIII. •- A plane angle is...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - 1807 - 476 pages
...direction between its extremities ; and is the shortest distance between two points. 7. A plane, or plane superficies, is that in which any two points being taken, the right line between them lies wholly ia that plane or superficies. 8. A rectilineal angle is the inclination...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...superficies is that which hath only length and breadth. 6. The extremitin of a superficies are lines. 7. A plane superficies is that in which any 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...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - 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 being taken, the straight line between them lies wholly in that superficies;" the term " plane," in popular language, means that which...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 10

1816 - 764 pages
...fnperficies are therefore lines, and the interactions of fupcrficies with one another are alfo lines. 5. A PLANE SUPERFICIES is that in which any two points being taken, the ftraight line between them lies wholly in that fupcrficies. 6. A PLANE RECTILINEAL ANGLE is the inclination...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 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 being taken, the straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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 being taken, thp straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 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 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 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 being taken, the straight line between them lies wholly in' that superficies : this indeed is a well known property of a plane ; but...
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