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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 of the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will be perpendicular to the line of the... "
The Elements of Solid Geometry: With Numerous Exercises - Page 5
by Arthur Latham Baker - 1893 - 126 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...and it is evident that there canbe but one such perpendicular plane. PROPOSITION VI.— THEOREM. 17. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is...to any point of the perpendicular, this last line ivill be perpendicular to the line of the plane. Let AP be perpendicular to the plane MN; from its...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 490 pages
...The inclination of AE is less than the inclination of any shorter line AB. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection be joined...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...and it is evident that there can be but one such perpendicular plane. PROPOSITION VI.— THEOREM. 17. If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...inclination of AE is less than the inclination of any shorter line AB. • PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection le joined...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...The inclination of AE is less than the inclination of any shorter line AB. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection be joined...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...perpendicular to this given straight line at the given point. GEOMETRY. BOOK VI. PROPOSITION VI. THEOREM. 456. If from, the foot of a perpendicular to a plane a straight line be drawn at right angles to any line of Ute plane, t/ie line drawn from its intersection with the line...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...to this given straight line at the given point. GEOMETRY. BOOK VI. PROPOSITION VI. THEOREM. 456. lf from the foot of a perpendicular to a plane a straight line be drawn at right angles to any line of the plane, I he hue drawn from its intersection with the line...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1884 - 386 pages
...it is evident that there can be but one such perpendicular plane. PROPOS1TION VI.— THEOREM. 17. Jf from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...circumference passes through these points : then AP is the perpendicular required. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line is drawt1 at right angles to any straight line of that plane, and the point of intersection joined with...
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