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" ... the same, or a like inclination to one another, which two other planes have, when the said angles of inclination are equal to one another. "
Elements of Geometry: With Practical Applications to Mensuration - Page 166
by Benjamin Greenleaf - 1868 - 320 pages
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...every where at an equal perpendicular distance. 112. A solid angle is that which is made by the meeting of more than two plane angles, which a.re not in the same plane, in one point. BEFINITIONS. 114. A. Prism is a solid whose ends are parallel, equal, and like plane...
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The Critical Review: Or, Annals of Literature

English literature - 1808 - 606 pages
...with re-entering angles. The second definition, •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,' certainly does not expressly exclude a pyramid with re-entering angles. But Mr. Lax...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 404 pages
...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 in the same plane, in one point. Others define it the angular space comprized between several planes meeting in one point....
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The Eclectic review. vol. 1-New [8th], Volume 7, Part 2

1811 - 600 pages
...best stated in his own words. ' A solid angle is defined by Euclid, that which is made by the meeting of more than two plane angles, which are not in the same plane, ia one point. ' Others define it the angular space comprized between several planet meeting in one...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1812 - 624 pages
...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 in the same plane, in one point. Others define it the angular space comprized between several planes meeting in one point....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...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 in the same plane, in one point. Others define it the angular space comprised between several planes meeting in one point....
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A treatise on navigation, and nautical astronomy

Edward Riddle - Nautical astronomy - 1824 - 572 pages
...do not meet, 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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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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...
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