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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...planes are such as do not meet one another though produced. 9. A solid angle is that which is made by more than two plane angles, which are not in the same plane, meeting at one point. 10. Equal and similar solid figures are such as are contained by similar planes...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...planes are such as do not meet one another though produced. 9. A solid angle is that which is made by more than two plane angles, which are not in the same plane, meeting at one point. 10. Equal and similar solid figures are such as are contained by similar planes...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...do not meet one anotherthough produced. IX. A solid angle is that which is made by the meeting, in one point, of more than two plane angles, which are not in the same plane. X. Equal and similar solid figures are such as are contained by similar planes equal in number and...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...diedral angle, of which the line AB is the edge, and the planes faces. 392. A diedral angle may he acute, right, or obtuse. If the two faces are perpendicular...polyedral angle. Thus the three plane angles ASB, B£ C, CSA form aa polyedral angle, whose vertex is S, whose faces are the plane angles, and whose...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...That which bounds a solid is a superficies. X. A Solid Angle is that, which is made by the meeting of more than two plane angles, which are not in the same plane, at one point. Definitions I. to X. are all that are required in the part of Book xi. included in this...
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Plane and Spherical Trigonometry, Part 2

Henry W. Jeans - 1872 - 142 pages
...of the sphere enclosed by the three planes. (46.) 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. (47.) A sphere is a solid contained by one superficies, which is such that all straight...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...do not meet one another though produced. 9. A solid angle is that which is made by the meeting, in one point, of more than two plane angles, which are not in the same plane. 10. Equal and similar solid figures are such as are contained by similar planes equal in number and...
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New Elementary Geometry, with Practical Applications

Benjamin Greenleaf - Geometry - 1875 - 204 pages
...acute, right, or obtuse. If the two faces are perpendicular to each other, the angle is right. 255. A Polyedral Angle is an angle formed by the meeting...of the polyedral angle. Thus the three plane angles A SB, BSC, CSA form a polyedral angle, whose vertex is S, whose faces are the plane angles, and whose...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...do not meet one another though produced. IX. A solid angle is that which is made by the meeting, in one point, of more than two plane angles, which are not in the same plane. X. Equal and similar solid figures are such as are contained by similar planes equal in number and...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...planes are such as do not meet one another though produced. 9. A solid angle is that which is made by more than two plane angles, which are not in the same plane, meeting at one point. 10. Equal and similar solid figures are such as are contained by similar planes...
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