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" 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. "
The First Six Books with Notes - Page 146
by Euclid - 1822 - 179 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...taken, the . „ ftraight line between them lies wholly in that fuperficies. VIII. " A plane angle is the inclination of two lines to one another in a ^ " plane, which meet together, but are not in the fame direction." IX. A plane rectilineal angle is the inclination of two ftraicrht lines to one another,which...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...that superficies. VIII. •- A plane angle is the inclination of two lines to one another See N. " in a plane, which meet together, but are not in the same " direction." IX. A plane rectilineal angle is the inclination of two straight lines' to one another, which meet...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...in that superficies. yllI. '< A plane angle is the inclination of two lines to one ano- see N " ther in a plane, which meet together, but are not in the " same direction." ••••'i " IX, A plane rectilineal angle is the inclination of two straight lines to one another,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819
...line between them lies wholly in that superficies. 8. " Л plane angle is the inclination of twolines to one another in a plane, which meet together, but are not in the same direction.1' 9. Л plane rectilineal angle is the inclination of two straight line» to one another,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 516 pages
...being taken,* the straight line between them lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines to one another* in, a...meet together, but are not in the same direction." IX. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...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,...meet together, but are not in the same direction." p. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...taken, the straight line between them lies wholly in that superficies. B VIII. See N. " A plane angle is the inclination of two lines to one " another in a...meet together, but are " not in the same direction." IX. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...which is not a plane, or composed of planes, is called a curved surface. (9) VIII. A plane angle is the inclination of two lines to one another, in a...but are not in the same direction. This definition, which is designed to include the inclination of curves as well as right lines, is omitted in some editions...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 183 pages
...conceiving that any part of it is also a plane, though that part be bounded by a curve. DBF. 8. B. 1. In the Greek copies this is the ninth definition,...the angle of a semicircle and segment (prop. 16, and SI. B. 3.) which ought entirely to be rejected, as producing nothing but paradoxes and disputes, wholly...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 513 pages
...lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines to one see N. " another in a plane, which meet together, but are not in " the same direction." IX. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...
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