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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. "
The Elements of Descriptive Geometry ... - Página 2
por Thomas Grainger Hall - 1841 - 100 páginas
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 páginas
...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 geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 páginas
...definition la that that the space between the planes is always of i he same width. IX. A solid angle ia that which is made by the meeting of more than two plane angles in one point, but which are not in the same plane. The term solid, here applied to an angle, merely...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 páginas
...is that which has length, breadth, and thickness. IX. That which bounds a solid is a superficies. X. A Solid Angle is that, which is made by the meeting of uiore than two plane angles, which are not in the same plane, t one point. Definitions I. to X. are...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 páginas
...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 páginas
...lies in pi. BAD. [DEF. Similarly it lies in pi. CAD ; .'. it must be their common section AD. DEF.— A solid angle is that which is made by the meeting...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 páginas
...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 páginas
...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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From Summetria to Symmetry: The Making of a Revolutionary Scientific Concept

Giora Hon, Bernard R. Goldstein - 2008 - 337 páginas
...text by placing a definition of a solid angle before the problematic Definition 10: Book XI, Def. ix. A solid angle is that which is made by the meeting...plane angles, which are not in the same plane, in one point.42 And only then did he define similar solid bodies while explicitly omitting the problematic...
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The Thirteen Books of Euclid's Elements

562 páginas
...in the same surface, towards all the lines. Otherwise : 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. 12. A pyramid is a solid figure, contained by planes, which is constructed...
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