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Books Books 1 - 10 of 86 on If a solid angle be contained by three plane angles, any two of them are greater....  
" If a solid angle be contained by three plane angles, any two of them are greater than the third. "
New series of The mathematical repository - Page 44
by Thomas Leybourn - 1835
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Trigonometry - 1799 - 351 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. Any two of them are...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 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. Any two of them...
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New Cambridge Guide; Or, A Description of the University, Town, and County ...

Education - 1804 - 130 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 - Trigonometry - 1806 - 311 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 ; any two of them are...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1819
...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 are less than loar right...
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The Cyclopædia;: Or, Universal Dictionary of Arts, Sciences, and ..., Volume 34

Abraham Rees - Encyclopedias and dictionaries - 1819
...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 than four right angles....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 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, DAB. Any two of them are...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

Mathematics - 1821 - 425 pages
...24 acres in 7 days ? 2. Add together '$ of 5*. 6d., $ of i of 17*. 2+d., and f of £5. 6s. 1\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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