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Books Books 31 - 39 of 39 on The inclination of a plane to a plane is the acute angle contained by two straight....
" The inclination of a plane to a plane is the acute angle contained by two straight lines drawn from any the... "
Books 10-13 and appendix - Page 260
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The theory of navigation and nautical astronomy: together with the elements ...

William Thomas Read - Nautical astronomy - 1869 - 154 pages
...right angles to a plane, when it makes right angles with every line which meets it in that plane. 3. The inclination of a plane to a plane, is the acute angle contained by two straight lines drawn perpendicular to their common section from the same point in the section,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - Geometry - 1872 - 349 pages
...perpendicular to the plane, drawn from any point of the first line above the plane, meets the same plane. V. The inclination of a plane to a plane is the acute angle, contained by two straight lines, drawn from any the same point of their common section, at right angles to it, one...
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Elements of astronomy

Hugo Reid - 1874
...a Plane is the smallest angle which the line makes with any straight lines drawn on the plane. 62. The Inclination of a Plane to a Plane is the acute angle contained by two straight lines, one in each plane, drawn from any point in the straight line in which the planes...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts, Thomas Kirkland - Geometry - 1876 - 403 pages
...perpendicular to the plane drawn from any point of the first line above the plane, meets the same plane. VL The inclination of a plane to a plane, is the acute angle contained by two straight lines drawn from any the same point of their common section at right angles to it, one...
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The Elements of Euclid: For the Use of Schools and Colleges; Comprising the ...

Euclid - 1883
...perpendicular to the plane drawn from any point of the first line above the plane, meets the same plane. 6. The inclination of a plane to a plane is the acute angle contained by two straight lines drawn from any the same point of their common section at right angles to it, one...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - Mathematics - 1890 - 515 pages
...perpendicular to the plane drawn from any point of the first line above the plane, meets the same plane. 6. The ' inclination of a plane to a plane ' is the acute angle contained by two straight lines drawn from any the same point of their common section at right angles to it, one...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid, H. S. Hall, F. H. Stevens - Euclid's Elements - 1904 - 456 pages
...the plane EB at right angles to the common section AB, is also at right angles to the plane CD. 7. The inclination of a plane to a plane is the acute angle contained by two straight lines drawn from any point in the common section at right angles to it, one in one plane...
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Mathematical Thought from Ancient to Modern Times:

Morris Kline - Mathematics - 1990 - 390 pages
...angles to the common section of the planes, are at right angles to the remaining plane. Definition 6. The inclination of a plane to a plane is the acute...section, at the same point, one in each of the planes. We call this acute angle the plane angle of the dihedral angle. Figure 4.17 regular icosahedron, and...
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The Thirteen Books of Euclid's Elements: Introduction and Books I, II, Volume 1

Robert Catesby Taliaferro, Euclid, Martin Luther D'Ooge, Archimedes, Sir Thomas Little Heath, Nicomachus (of Gerasa.), Apollonius (of Perga.) - 1926 - 432 pages
...have expected to see e writer form and discuss the following expressions V', /4- etc. i th 172 BOOK XL DEFINITIONS. 1. A solid is that which has...angles of the inclinations are equal to one another. 9. Similar solid figures are those contained by similar planes equal in multitude. 10. Equal and similar...
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