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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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