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" ... the same, or a like inclination to one another, which two other planes have, when the said angles of inclination are equal to one another. "
Elements of Geometry: With Practical Applications to Mensuration - Page 166
by Benjamin Greenleaf - 1868 - 320 pages
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...do not 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...do not 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. 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
...though produced 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
...though produced 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 Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...right, or obtuse. If the two faces are perpendicular to each other, the angle is right. 393. A POLYEDIUL ANGLE is an angle formed by the meeting, at one point of more than two plane angles, which arc not in the same plane. The common point of meeting of the planes is called the vertex, each of...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...do not 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...do not 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 arc contained by similar equal in number and magnitude....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...do not meet on* another though produced. IX. A solid angle is that which is made hy 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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