 | Mathematics - 1836 - 488 pages
...parallel to 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. PKOP. I. One part of a straight line cannot be in a plane and another part above it. II. Any three... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...parallel to 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 le in a plane and another part about it. If it be... | |
 | Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...the edge, and the 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 ; the planes A... | |
 | Euclides - Geometry - 1841 - 378 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 1 The tenth definition is omitted for reasons given in the notes.' Ses the Octavo Edition. XI. Similar... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...parallel to 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... | |
 | Euclides - 1842 - 316 pages
...parallel to one another, 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 it. If it be... | |
 | Euclid - Geometry - 1845 - 218 pages
...Parallel planes are such 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, and which are... | |
 | 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...parallel to 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... | |
 | W. M. Buchanan - Science - 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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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. 
