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A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line.
Elementary Course of Geometry ... - Pągina 1
per Charles William Hackley - 1847 - 103 pągines
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Elements of Geometry: With Their Application to the Mensuration of ...

Thomas Simpson - 1760 - 276 pągines
...Conftr. done. ~ * 7- 4The End of the SIXTH BOOK. GEOMETR Y. BOOK VIL DEFINITIONS, Right-line is faid to be perpendicular to a plane, when it is perpendicular to all right-lines, that can be drawn in Chat plane, from the point on which it infifts. ~A 2. One plane is...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 pągines
...than any isoperi metrical polygon. BOOK V. PLANKS AND SOLID ANGLES. Definitions. I. A straight line is perpendicular to a plane, when it is perpendicular to all the straight lines (4. IV.) which pass through its foot in the plane. Conversely, the plane is perpendicular to the line....
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 pągines
...angles, it is evident that they have the properties of linear angles (20, 21, 22, 34, 35, 39). 127. — A line is said to be perpendicular to a plane when it is perpendicular to all the straight lines which can be drawn through its foot in the plane — . For then it will make a right angle with the...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - 1833 - 208 pągines
...not in the same straight line, the two planes passing through them must coincide and form but one. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line in that plane, drawn through ilsjbot, or the point where the perpendicular meets...
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Elements of Analytical Geometry: Embracing the Equations of the Point, the ...

Charles Davies - 1836 - 352 pągines
...co-ordinates of every point of the plane. PROPOSITION VII. PROBLEM. To find the equation of a plane. A line is said to be perpendicular to a plane when it is perpendicular to every line passing through its foot and lying in the plane : and conversely the plane is said to be...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 pągines
...3.1416 is the one generally used. BOOK VI. PLANES AND SOLID ANGLES, L/efinitions. 1. A straight line is perpendicular to a plane, when it is perpendicular to all the straight lines which pass through its foot in the plane. Conversely, the plane is perpendicular to the line. , The/oo/...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 pągines
...being common, ADB is equal (I. 32.) to BHC, and is therefore a right angle. BOOK XI. DEFINITIONS. 1. A STRAIGHT line is said to be perpendicular to a plane when it makes right angles with all straight lines meeting it in that plane. 2. The inclination of two planes...
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Elements of Analytical Geometry: Embracing the Equations of the Point, the ...

Charles Davies - 1838 - 352 pągines
...co-ordinates of every point of the plane. PROPOSITION VII. PROBLEM. To find the equation of a plane. A line is said to be perpendicular to a plane when it is perpendicular to every line passing through its foot and lying in the plane : and conversely the plane is said to be...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 237 pągines
...no case more accurately known. BOOK VI. PLANES AND SOLID ANGLES. DEFINITIONS. 1 . A straight line is perpendicular to a plane, when it is perpendicular to all the straight lines which pass through its foot in the plane. Conversely, the plane is perpendicular to the line. The foot...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 pągines
...3.1416 is the one generally used BOOK VI. PLANES AND SOLID ANGLES. Definitions. 1. A straight line is perpendicular to a plane, when it is perpendicular to all the straight lines which pass through its fool in the plane. Conversely, the plane is perpendicular to the line. The foot...
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