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" If a solid angle be contained by three plane angles, any two of them are together greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, DAB : any two of them shall be together greater than the third. "
The elements of plane trigonometry - Page 6
by John Charles Snowball - 1837
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Elements of Trigonometry, Plane and Spherical: With the Principles of ...

John Wright (Mathematician) - Perspective - 1772 - 298 pages
...2 triangle triangle are together greater than the third ; becaufe [20. 1 1.], when a folid angle is contained by three plane angles, any two of them are together greater than the third ; therefore the meafures of any two of thefe plane angles, in the fuperficies of the fphere, are together...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...to the third plane. Wherefore, if two planes, &c. Q^ ED u/j.Oef.n. b i3I PROP. XX. THEOR. F a folid angle be contained by three plane angles, any two of them are greater than the third. Let the folid angle at A be contained by the three plane angles BAC, CAD, DAB....
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New Cambridge Guide; Or, A Description of the University, Town, and County ...

Cambridge (England) - 1804 - 476 pages
....42.3.4.51 _ ... 51 C\ Iiif 2. Add together i of 5s. 6d., f of J of 17s. 2id., and | of £5. 6s. 7?d. 3. If a solid angle be contained by three plane angles, any two of these are greater than the third. 4. Prove that the sum of the tangents of two arcs is to the difference...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...perpendicular to the two given lines, AB and CD. Which was to be doneBook nI PROP. XX. T fL EO R. F a folid angle be contained by three plane angles, any two of them are greater than the thjrd. Let the folid angle at A be contained by the three plane angles BAC, CAD, DAB....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...« Def. lperpendicular to the two given lines AB, CD. Which was 2- Supto be done. PROP. XX. THEOR. IF a solid angle be contained by three plane angles, any two of them are greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, DAB...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...perpendicular to a third plane; their common section shall be perpendicular to the same plane. Prop. XX. Theor. If a solid angle be contained by three plane angles, any two of tuem are greater than the third. Prop. XXI. Theor. Every solid angle is contained by plain angles which...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...to a third plane ; their common section shall be perpendicular to the same plane. Prop. XX. Theor. If a solid angle be contained by three plane angles, any two of them are greater than the third. Prop. XXI. Theor. Every solid angle is contained by plane angks which together...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...drawn perpendicular to the two given lines, AB and CD. Which was to be« done. • PROP. XX. THEOR. If a solid angle be contained by three plane angles, any two of theseangles are greater than the third. Let the solid angle at A be contained by the three plane angles...
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The Cyclopędia, Or, Universal Dictionary of Arts, Sciences, and ..., Volume 34

Abraham Rees - Art - 1819 - 754 pages
...perpendicular to a third plane, their common feftion (hall be perpendicular to the fame plane. XX. If a folid angle be contained by three plane angles, any two of them are greater than the third. XXI. Every folid angle is contained by plane angles, which together are lets...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...therefore is perpendicular to the third plane- Wherefore, if two planes, &c. QED PROP. XX. THEOR. IP a solid angle be contained by three plane angles, any two of them are greater than the third.* Let the solid angle at A be contained by the three plane angles, BAC, CAD,...
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