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. A system of popular trigonometry - Page iiiby George Darley - 1835Full 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... | |
| 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... | |
| John Radford Young - Astronomy - 1833 - 308 pages
...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... | |
| Eugenius Nulty - Geometry - 1836 - 242 pages
...wherefore the triangle BE B' is isosceles, and B B' or AB is perpendicular to the right line A E. в 5. A right line is said to be perpendicular to a plane, when it is perpendicular to every right line which it meets in that plane ; and conversely the plane is said to be perpendicular... | |
| 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... | |
| 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... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...be taken, the straight line which joins these points will be wholly in that surface. 3. A straight line is said to be perpendicular to a plane when it is perpendicular to all the straight lines in the plane which pass through the point in which it meets the plane. This point is... | |
| Cadmus Marcellus Wilcox - Rifle practice - 1859 - 308 pages
...pleasure, and joining them by a straight line, that line will lie wholly in the surface. A straight line is perpendicular to a plane when it is perpendicular to all the right lines (in that plane) drawn through its extremity in the plane. The name of vertical is given to every straight line which... | |
| Charles Hutton - Mathematics - 1860 - 1020 pages
...be taken, the straight line whii-h joins these points will be wholly in that surface. 2. A straight line is said to be perpendicular to a plane, when it is perpendicular to all the straight lines in the plane which pass through the point in which it meets the plane. This point is... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...square. BOOK III. SOLID GEOMETRY. SEC. XIII.— PLANES AND THEIR INCLINATIONS. DEFINITIONS. 1. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line it can meet in that plane. 2. The line in which two planes cut one another is called... | |
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