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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: In Three Volumes : Composed for the Use of the ... - Page 80
by Charles Hutton - 1811
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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 a, straight line cannot be in a, plane and another part about it. If it...
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The Cyclopædia, Or, Universal Dictionary of Arts, Sciences, and ..., Volume 34

Abraham Rees - 1819 - 754 pages
...are fuch as do not meet one another, though produced. 9. A folid angle is that which is made by the meeting of more than two plane angles, which are not in the fame plane, in one point. 10. Similar folid figures are fuch as have all their folid angles equal each...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pages
...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 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 - 1822 - 680 pages
...Nature and Measure of Solid Jingles. A Solid Angle is defined by Euclid, that which is made by the meeting of more than two plane angles, which are not...plane, in one point. Others define it the angular space comprised between several planes meeting in one point. r It may be defined still more generally, the...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 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 Course of Mathematics for the Use of Academies: As Well as ..., Volume 2

Charles Hutton - 1826 - 682 pages
...thr nature and Measure of Solid Angles. A Solid Angle is defined by Euclid, that which is made by the meeting of more than two plane angles, which are not...plane, in one point. Others define it the angular space comprised between several planes meeting in one point. It may be defined still more generally, the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pages
...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 - 1827 - 546 pages
...are such as 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 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 - 1831 - 372 pages
...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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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - 1831 - 656 pages
...is defined by Euclid, that which is mnde by the meeting of more t '-.an two plane angles, which tire not in the same plane, in one point. Others define it the angular space comprised between several planes meeting in one point. It may be defined still more generally, the...
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