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" Two planes are said to have 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. "
A Course of Mathematics: In Two Volumes : for the Use of Academies, as Well ... - Page 34
by Charles Hutton - 1816
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pages
...another though produced. IX. A solid angle is that which is made by the meeting of more than See N. 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.' See N. See N Similar solid figures...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - 1807 - 476 pages
...inclined to each other, or are every where at an equal perpendicular distance. 112. A solid angle is that which is made by the meeting of more than two...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 figures, and its...
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The Critical Review: Or, Annals of Literature

1808 - 606 pages
...not fulfilled in * pyramid formed with re-entering angles. The second definition, •a solid angle is that which is made by the meeting of more than two...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 observes, and we...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 404 pages
...the num|jer of angles of the polygon. GENERAL SCHOLIUM. On the Nature and Measure of Solid jingles. A Solid angle is defined by Euclid, that which is...It may be defined still more generally, the angular space included between several plane surfaces or one or more curved surfaces, meeting in the point...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 424 pages
...the Nature and Measure of Solid Angles. A Solid angle is defined by Euclid, that which is made by ^he meeting of more than two plane angles, which are not...It may be defined still more generally, the angular spaqe. Included between several plane surfaces or one or more curved surfaces, meeting in the point...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 276 pages
...is defined by Euclid, that which is made by the meeting of more than two plane angles, which are net 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...another though produced. IX. A solid angle is that which rs made by the meeting of more See N. than tVo plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the See N. notes/ XI. Similar solid figures...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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

Euclid, Robert Simson - 1821 - 514 pages
...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...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
...the number of angles of the polygon. GENERAL SCHOLIUM. 'On the Nature and Measure of Solid Jingles. A Solid Angle is defined by Euclid, that which is...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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