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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 first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...which stands out of the plane of the paper, the line joining E and F does not so. 8. " A plane angle is the inclination of two lines to one another in a plane,...but are not in the same direction." This definition comprehends the angles formed by the meeting of curved, as well as straight lines ; but it is with...
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The Mechanic's and Schoolboy's Steps to the Mathematics ...

John Quested - Geometry - 1848 - 100 pages
...meet. Parallel lines may be both right and curved. A plane angle is the inclination of two straight lines to one another in a plane, which meet together, but are not in the same direction. A plane rectilineal angle is the opening of two lines, meeting at a point, which point is called the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...being taken, the straight line between them lies wholly in that superficies. vm. " A plane angle ia the inclination of two lines to one another in a plane,...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 two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 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 plane,...meet together, but are not in the same direction." [Fig. 1., plane rectilineal angle; Jig. 2., plane angle, not rectilineal.] Fig. 1. A plane rectilineal...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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,...meet together, but are not in the same direction. 9. 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 numerous exercises

Euclides - Geometry - 1853 - 176 pages
...being taken, the straight line between them lies wholly in that superficies. VIII. A plane angk is the inclination of two lines to one another in a plane,...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...being taken, the straight line between them lies wholly in that superficies. vm. "A plane angle is the inclination of two lines to one another in a plane,...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 Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...surface, ie every point in the straight line is also a point in the surface. VIII. A plane angle is the inclination of two lines to one another in a plane, which meet together in a point, but are not in the same direction. IX. A plane rectilinear angle is the inclination of...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...•<! to be of indefinite extent, nnleu otherwise expressed. VIII. [A plane angle is the inclinr.tion of two lines to one another in a plane, which meet...are not in the same direction.] This definition is put in brackets, as useless, and unnecessary to be remembered. .IX. A plane rectilineal angle is the...
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Mensuration of Lines, Areas, Surfaces, and Volumes ...

Robert Rawson - 1856 - 178 pages
...being taken, the straight line between them lies wholly in that superficies. vin. " A plane angle is the inclination of two lines to one another in a plane,...meet together but are not in the same direction." IX. A plane rectilineal angle is the \ i» inclination of two straight lines to one another, which...
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