 | 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 - 1845 - 218 pages
...another. VIII. 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...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 - 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... | |
 | 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... | |
 | 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... | |
 | Samuel Hunter Christie - 1847 - 172 pages
...the planes MD, AD are the 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...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... | |
 | 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... | |
 | 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... | |
 | 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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Two planes are said to have 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. 
