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 - 276 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 - 129 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 - Nautical astronomy - 1833 - 208 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 - 220 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 - 352 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 - 352 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 - 103 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 - 276 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 - 895 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 - 98 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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