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" A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes. "
A Course of Mathematics: In Three Volumes : Composed for the Use of the ... - Page 80
by Charles Hutton - 1811
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 pages
...thickness. IX. That which bounds a solid is a superficies. X. A Solid Angle is that, which is made by the meeting of more than two plane angles, which are not in the same plane, at one point. Definitions I. to X. are all that are required in the part of Book xi. included in this...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 202 pages
...each other, the angle is right. 255. A Polyedral Angle is an angle formed by the meeting at one point of more than two plane angles, which are not in the same plane. The common point of meeting of the planes is called the vertex, each of the plane angles a face, and...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...meet one another though produced. 9. A solid angle is that which is made by the meeting, in one point, of more than two plane angles, which are not in the same plane. 10. Equal and similar solid figures are such as are contained by similar planes equal in number and...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - 1874 - 206 pages
...each other, the angle is right. 255. A Polyedral Angle is an angle formed by the meeting at one point of more than two plane angles, which are not in the same plane. The common point of meeting of the planes is called the vertex, each of the plane angles a face, and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pages
...one another though produced. IX. A solid angle is that which is made by the meeting, in one point, of more than two plane angles, which are not in the same plane. X. Equal and similar solid figures are such as are contained by similar planes equal in number and...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pages
...planes are such as do not meet one another though produced. 9. A solid angle is that which is made by more than two plane angles, which are not in the same plane, meeting at one point. 10. Equal and similar solid figures are such as are contained by similar planes...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pages
...the said angles of inclination are equal to one another. 9. A solid angle is that which is made by more than two plane angles, which are not in the same plane, meeting at one point. 10. Equal and similar solid figures are such as are contained by similar planes...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...pi. CAD ; .'. it must be their common section AD. DEF.— A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, at the same point PROP. 20.— If a solid angle be contained by three plane angles, any two of them...
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Descartes on Polyhedra: A Study of the "De Solidorum Elementis"

P. J. Federico - 1982 - 162 pages
...at a point. Euclid's second definition (XI def. 1 1) is "A solid angle is that which is contained by more than two plane angles which are not in the same plane and are constructed to one point." Figure 5 shows a solid angle OABC with three plane angles. There...
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The Sheet-Metal Worker's Instructor

R. H. Warn, John G. Horner - 2002 - 292 pages
...and thickness. 51. Tho boundaries of a solid are surfaces. 52. A solid angle is that which is made by more than two plane angles, which. are not in the same plane, meeting at one paint. 53. A pyramid is a solid figure contained by planes, one of which is the base,...
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