 | Thomas Simpson - 1760 - 296 σελίδες
...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... | |
 | Adrien Marie Legendre - 1822 - 394 σελίδες
...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.... | |
 | Timothy Walker - 1829 - 138 σελίδες
...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... | |
 | John Radford Young - 1833 - 308 σελίδες
...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... | |
 | Charles Davies - 1836 - 370 σελίδες
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...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/... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...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... | |
 | Charles Davies - 1838 - 366 σελίδες
...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... | |
 | James Bates Thomson - 1844 - 268 σελίδες
...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... | |
 | Charles Davies - 1849 - 372 σελίδες
...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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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. 
