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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 - Side 280
av Charles Austin Hobbs - 1921 - 192 sider
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A Treatise on Special Or Elementary Geometry, Volumer 1-2

Edward Olney - 1872 - 562 sider
...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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A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 472 sider
...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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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 376 sider
...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 sider
...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 sider
...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 sider
...(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 sider
...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...the plane, the line drawn from its intersection with this line to any point in the perpendicular will be perpendicular to the line in the plane. Let AB...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 sider
...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 sider
...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 sider
...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 in the plane.] (§ 410.)...
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