 | Robert Simson - Trigonometry - 1762 - 488 pages
...BAC, DAC, BAD which contain the folid angle at A, are lefs than four right angles. Next, Let the folid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB ; thefe together are lefs than four right angles. Let the planes in which the angles are be cut by... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...DAC, BAD, which contain the folid angle at A, are lefs than four right angles. Next, Let the folid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB ; thefe together are lefs than four right angles. Let the planes in which the angles are, be cut by... | |
 | Euclid - 1781 - 552 pages
...DAC, BAD, which contain the folid angle at A, are lefs than loin right angles. Next, Let the folid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB ; thefe together are lefs than four right angles. Let the planes in which the angles are, be cut by... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...BAC, DAC, BAD which contain the folid angle at A, are lefs than four right angles. Next, Let the folid angle at A be contained by any number of plane angles BAC, CAD, DM., EAF, FAB ; thefe together are lefs than four right angles. Let the planes in which the angles... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...DAC, BAD, which contain the folid angle at A, are lefe than four right angles. Next, Let the folid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB ; thefe together are lefe than four right angles. Let the planes in which the angles are, be cut by... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle is contained by plane angles, rj which together are lefs than four right angles. Let the folid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAB. Thele together are lefs than four right angles. Let the planes in which the angles are be cut... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...BAC, DAC, BAD which contain the folid angle at A, are lefs than four right angles. Next, Let the folid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB; thefe together are lefs than four right angles. Let the planes in which the angles are be cut by a... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...rectilineal, as has been proved. Wherefore the remaining angles of the triangles, or those at the vertex, which contain the solid angle at A, are less than four right angles. Therefore, the plane angles, &c. QED / Otherwise. Let the sum of all the angles at the bases of the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...polygon, as has been proved. Wherefore the reuiuining 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... | |
 | Euclides - 1814 - 560 pages
...one of the angles of the polygon BCDEF: Therefore all the angles at the bases of the triangles are Next, Let the solid angle at A be contained by any...FAB: these together are less than four right angles. together greatet than all the angles of the polygon: And Boox XI. because all the angles of the triangles... | |
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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. 
