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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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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - Logarithms - 1831 - 372 pages
...unity subtending it ; then, S = Ж. А. ir A solid angle being the angular space made by the meeting of more than two plane angles, which are not in the same plane, in one point ; if about this point as a centre, a spherical surface be described, it is plain that...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...which do not meet, though produced ever so far. VI f I. A solid angle is an angle made by the meeting of more than two plane angles, which are not in the same piano in one point. PROP. I. THEOR. One part of a straight line cannot be in a plane and another part...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 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. PKOP. I. One part of a straight line cannot be in a plane and another part above it....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 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 le in a plane and another part about...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 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 1 The tenth definition is omitted for reasons given in the notes.' Ses the Octavo Edition. XI. Similar...
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The Elements of Descriptive Geometry ...

Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...planes containing the angles are called faces. (11) 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. Thus, the solid angle at s is contained by the three plane angles, A s B, A sc, B sc...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...which do not meet, though produced ever so far. VIII. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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 in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...as do not meet one another though produced. IX. 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. XI". Similar solid figures are such as have all then- solid angles equal, each to each,...
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