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" The acute angle that a straight line makes with its own projection upon a plane is the least angle that it makes with any line passing through its foot in the plane. "
Solid Geometry - Seite 319
von Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 Seiten
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Nature, Band 65

Sir Norman Lockyer - 1902 - 1074 Seiten
...which meets a plane and the lines in the plane than Prop. xx. in § 449, viz., " The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane." It is advantageous to know, not only the least and the greatest...
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Nature, Band 65

Sir Norman Lockyer - 1902 - 688 Seiten
...which meets a plane and the lines in the plane than Prop. xx. in § 449, viz., " The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line ofthat plane." It is advantageous to know, not only the least and the greatest...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 Seiten
...therefore, the angle ABa is less than the angle ABC (I. 85). 60. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line 'to the plane, or the angle of the line and plane. 61. Definition....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 Seiten
...therefore, the angle ABa is less than the angle ABC (I. 85). 60. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line to the plane, or the angle of the line and plane. 61. Definition....
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - 1887 - 331 Seiten
...the angle ABa is less than the angle ABC (I., Proposition XY.), 45. Definition. The acute angle which a straight line makes with its own projection upon a plane is called the indinatio.m of the line to the plane, or the angle of the line and plane. 46. Definition....
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Elementary Geometry

William Chauvenet - 1893 - 340 Seiten
...projection of a straight line upon a plane is a straight line. PROPOSITION XIX. The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane. PROPOSITION XX. The sum of any two face angles of a triedral...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 554 Seiten
...straight line. § 528 QE D, i// ith fht 128 . PROPOSITION XXIII. THEOREM 385. The acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line in that plane. GIVEN — the straight line AS, its projection AC upon...
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Syllabus of Geometry

George Albert Wentworth - 1896 - 68 Seiten
...which bisects a dihedral angle is equidistant from the faces of the angle. 526. The acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line of the plane. 528. Between two straight lines not in the same plane, one...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 570 Seiten
...5.5 of the other. § 536 Therefore angle SAC< angle SAB. §93 QED 580. Def. — The acute angle which a straight line makes with its own projection upon a plane is called the inclination of the line to the plane. PROPOSITION XXIV. THEOREM 587. Between two straight...
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Elements of Geometry

George Washington Hull - 1897 - 408 Seiten
...first are 8 and 6, what are the segments of the second? PROPOSITION XXV. THEOREM. 418. TJie angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line of that plane. Given—AB the projection of AP on the plane MN, and AC...
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