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" A be a solid angle contained by any number of plane angles BAC, CAD, DAE, EAF, FAB: these together are less than four right angles. Let the planes... "
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... - Page 166
by Isaac Sharpless - 1879 - 266 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...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 - Trigonometry - 1775 - 534 pages
...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 - 552 pages
...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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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...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 - Mathematics - 1806 - 320 pages
...XXI. THEOR. THE plane angles which contain ui'.j are together less than four right angles. solid angl Let A be a solid angle contained by any number of...angles. Let the planes which contain the solid angle at A be cut by another plane, and let the section of them by that plane be the rectilineal figure BCDEF....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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,...together are less than four right angles. Let the planes in which the angles are be cut by a plane, and let the common section of it with those planes be BC,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...BCDEF: Therefore all the angles at the bases of the triangles are Next, Let the solid angle at A be contained by any number of plane angles BAC, CAD,...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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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...The only plane figures which can form such solids, are' triangles, squares, and pentagons. For the plane angles which contain any solid angle, are together less than four right angles or 360°. (Sup. Euc. 21. 2.) And the least number s which can form a solid angle is' three. (Sup. Euc....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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,...are less than four right angles. , Let the planes in which the angles are, be cut by a plane and let the common sections of it with thoseplanesbe BC,CD,DE,EF,...
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