 | Euclides - 1816 - 588 sider
...polygon, as has been proved. Wherefore the remaining angles of the triangles, viz. those at the vertex, which contain the solid angle at A, are less than four right angles. Therefore every solid angle, &c. QED PROP. XXII. THEOR. IF every two of three plane angles be greater... | |
 | John Playfair - 1819 - 354 sider
...angles which contain any solid angle are together less than four right angles. >. Let A be a solid angle contained by any number of plane angles BAC, CAD, DAE, EAF, FAB ; these together are less ihan four right angles Let the planes which contain the solid angle at A be cut by another plane, and... | |
 | Peter Nicholson - 1825 - 1046 sider
...polygon, as has been proved. Wherefore the remaining angles of the triangles, viz. those at the vertex, which contain the solid angle at A, are less than four right angles. Therefore every solid angle, &c. QED PROP. XXII. THEOREM. • If every two of three plane angles be... | |
 | Euclid, John Playfair - 1826 - 326 sider
...eontain any solid angle are together less than four right angles. Let A be a solid angle eontained by any number of plane angles BAC CAD, DAE, EAF, FAB;...together are less than four right angles. Let the planes whieh eontain the solid angle at A be eut by another plane, and let the seetion of them by that plane... | |
 | Robert Simson - 1827 - 546 sider
...polygon, as has been proved ; wherefore the remaining angles of the triangles, viz. those at the vertex, which contain the solid angle at A, are less than four right angles. Therefore, every solid angle, &c. QED PROP. XXII. THEOR. If every tvoo of three plane angles be greater... | |
 | Pierce Morton - 1830 - 584 sider
...angle be contained by any number of plane angles ; these shall be together less than four right angles. Let the solid angle at A be contained by any number of plane angles BAC.CAD.DAE, EAF, FAB : these shall be together less than four right angles. Let the edges of the solid... | |
 | John Playfair - 1832 - 358 sider
...rectilineal, as has been proved. Wherefore, the remaining angles of the triangles, viz. those at the vertex, which contain the solid angle at A, are less than four right angles. Therefore every solid angle, &c. QED Bb OTHERWISE: Let the sum of all the angles at the bases of the... | |
 | Euclides - 1834 - 518 sider
...CDA, ADB, DBA arc greater than two right angles; therefore the remaining three angles BAC, CAD, DAB, which contain the solid angle at A, are less than four right angles. Next, let the solid angle nt A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB : thesc shall togethcr be less... | |
 | John Playfair - 1835 - 336 sider
...angles which contain any solid angle are together less than four right angles. Let A be a solid angle contained by any number of plane angles BAC, CAD,...these together are less than four right angles. Let tho planes which contain the solid angle at A be cut by another plane, and let the section of them... | |
 | 1835 - 684 sider
...angle be contained by any number of plane angles ; these shall be together less than four right angles. Let the solid angle at A be contained by any number of plane angles BAC.CAD.DAE, EAF, FAB : these shall be together less than four right angles. Let the edges of the solid... | |
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DAB, which contain the solid angle at A, are less than four right angles. Next, let the solid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB. These shall together be less than four right angles. 
