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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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pages
...one another, which do not meet, though produced ever so far. 8. A solid angle is an angle made by the meeting of more than two plane angles, which are not in the same plane in one point. PROP. I. THEOR. One part of a straight line cannot be in a plane and another part above it. If it be...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...meet 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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A Technological Dictionary: Explaining the Terms of the Arts, Sciences ...

W. M. Buchanan - 1846 - 768 pages
...adjacent angles, because one leg, AD, is common to both. A solid angle is "formed by the meeting of two plane angles, which are not in the same plane, in one point." — Euclid. Solid angles do not, like other subjects of geometrical investigation, admit of accurate...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...faces, and DC is the edge of the dihedral angle MDCA. 12. 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. It is called a Trihedral angle, a Tetrahedral angle, a Pentahedral angle, &c., according as it is made...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 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. XI. Similar solid figures are such as have all their solid angles equal, each to each, and are contained...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...ever so far in every direction. 7. 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. 8. EQUAL AND SIMILAR SOLID FIGURES, CBED, HGLK, are such as are contained by similar planes equal in...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pages
...ever so far in every direction. 7. 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. 8. EQUAL AND SIMILAB SOLID FIGUBES, CBED, HGLK, are suchas are contained by similar planes equal in...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 pages
...each other, the angle is right. 393. A POLTEDRAL 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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 pages
...each other, the angle is right. 893. A rOLYEDRAL 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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