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 ... - Page 1by Charles William Hackley - 1847 - 103 pagesFull view - About this book
| Thomas Simpson - Geometry - 1760 - 296 pages
...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 - Geometry - 1822 - 394 pages
...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 - Geometry - 1829 - 138 pages
...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 - Astronomy - 1833 - 308 pages
...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 - Geometry, Analytic - 1836 - 370 pages
...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 - Geometry - 1836 - 394 pages
...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 - Geometry - 1837 - 410 pages
...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 - Geometry, Analytic - 1838 - 366 pages
...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 - Geometry - 1844 - 268 pages
...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 - Trigonometry - 1849 - 372 pages
...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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