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" If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, the line drawn from its intersection with the line in the plane to any point of the perpendicular is perpendicular to the line of the plane. "
Solid Geometry - Seite 326
von Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 Seiten
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A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 472 Seiten
...perpendiculars EF and A'B' which shall be perpendicular to PD, through D. PROPOSITION TI. 399. Theorem. — If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and this 'Intersection be joined with any point...
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A Treatise on Special Or Elementary Geometry, Bände 1-2

Edward Olney - 1872 - 562 Seiten
...perpendiculars EF and A'B' which shall be perpendicular to PD, through D. PROPOSITION VI. 399. Theorem. — If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and this intersection be joined with any point in...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 376 Seiten
...plane; and of two unequal lines, the less line has the greater inclination. PROPOSITION V. THEOREM. If from the foot of a perpendicular to a plane, a line is drawn perpendicular to any line of the plane, and if the point of intersection is joined with any point of...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 412 Seiten
...plane; and of two unequal lines, the less line has the greater inclination. PROPOSITION V. THEOREM. If from the foot of a perpendicular to a plane, a line fs drawn perpendicular to any line of the plane, and if the point of intersection is joined with any...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - 1883 - 344 Seiten
...but one plane perpendicular to PG and passing through DQED 222. PROPOSITION VIII. 458. Theorem.—// from the foot of a perpendicular to a plane a line is drawn at right angles to any line of the plane, and their intersection is joined with any point in the perpendicular, the last line is...
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Essentials of Geometry

Alfred Hix Welsh - 1883 - 326 Seiten
...(See Th. IT, Sch.). 4. To erect a perpendicular to a plane from a point within the plane. THEOREM IV. If from the foot of a perpendicular to a plane, a line be drawn at right angles to any line of the plane, and this point of intersection be joined with any...
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The Elements of Geometry

Webster Wells - 1886 - 392 Seiten
...foot of the perpendicular drawn from the point to the plane. PROPOSITION V. THEOREM. 441. If through the foot of a perpendicular to a plane a line is drawn...angles to any line in the plane, the line drawn from its intersection with this line to any point in the perpendicular will be perpendicular to the line...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 Seiten
...J_ plane. . i Proposition 5. Theorem. 607. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - 1893 - 154 Seiten
...carpenter's squares? PROPOSITION IV. THEOREM. 29. // from tJie foot of a perpendicular to a plane a straight line is drawn at right angles to any line in the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will...
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Elements of Geometry

Webster Wells - 1894 - 172 Seiten
...398.) Also, AD is perpendicular to DF. [If through the foot of a perpendicular to a plane a line be drawn at right angles to any line in the plane, the line drawn from its intersection with this line to any point in the perpendicular will be perpendicular to the line...
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