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" A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes. "
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... - Page 220
by Isaac Dalby - 1807
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...parallel to one another, which do not meet, though produced ever so far. VIII. A solid angle is an angle made by the meeting of more than two plane angles, which are not in the same plane in one point. PROP. I. THEOR. One part of « straight line cannot be in a plane and another part about it. If it...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...another. 8. Parallel planes are such which do not meet one another though produced. 9. A solid ansie is that which is made by the meeting of more than two planes, which are not in the same plane, in one point. 10. The tenth definition is omitted for reasons...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...equal to one another. VIII. Parallel planes are such which do not meet one another though produced. IX. A solid angle is that which is made by the meeting...angles, which are not in the same plane, in one point.*' X. ' The tenth definition is omitted for reasons given in the notes,'* XI. Similar solid figures are...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...GENERAL SCHOLIUM. 'On the Nature and Measure of Solid Jingles. A Solid Angle is defined by Euclid, that which is made by the meeting of more than two...angles, which are not in the same plane, in one point. Others define it the angular space comprised between several planes meeting in one point. r It may...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 508 pages
...contained by plains, which are constituted between a plain, and a point without it m which they meet. 8. A solid angle, is that, which is made by the meeting of more than two plain angles, which are not in the same plain, in the same point. 48 10. A prism, is a solid figure,...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - Industrial arts - 1823 - 704 pages
...other planes have, when the said angles of inclination are equal to one another.— A GEOMETRY. tolid angle is that which is made by the meeting of more than two planes which are not in the same plane, as the angle A, fig- 40, and E, fig. 4-1, made by the meeting...
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A treatise on navigation, and nautical astronomy

Edward Riddle - Nautical astronomy - 1824 - 572 pages
...though produced ever so far. 6. A solid angle is one which is formed by the meeting, in one point, of more than two plane angles, which are not in the same plane with each other. THEOREM LXXXIX. If any three straight lines, as AB, CD, С В meet one another, as...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...equal to one another. VIII. Parallel planes are such which do not meet one another though produced. IX. A solid angle is that which is made by the meeting...of more than two plane angles, which are not in the game plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.' XI....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...equal to one another. VIII. Parallel planes are such as do not meet one another though produced. IX. A solid angle is that which is made by the meeting...angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.' XL Similar solid figures are...
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - Logarithms - 1831 - 372 pages
...surface to radius unity subtending it ; then, S = Ж. А. ir A solid angle being the angular space made by the meeting of more than two plane angles, which are not in the same plane, in one point ; if about this point as a centre, a spherical surface be described, it is plain that the solid angle...
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