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" If a solid angle be contained by three plane angles, any two of them are greater than the third. "
Mathematical Problems and Examples, Arranged According to Subjects, from the ... - Página 4
1836 - 335 páginas
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 páginas
...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 - 1804 - 468 páginas
...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 ...

1804 - 476 páginas
....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 - 1806 - 320 páginas
...« 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 ..., Volumen5

John Mason Good - 1813 - 714 páginas
...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 ..., Volumen5

John Mason Good - 1819 - 800 páginas
...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 ..., Volumen34

Abraham Rees - 1819 - 754 páginas
...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 - 354 páginas
...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 - 1821 - 514 páginas
...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 ...

1821 - 464 páginas
...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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