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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. "
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... - Side 17
av A. Bell - 1837 - 164 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 sider
...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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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