DEFINITIONS. 1 . A straight line is perpendicular to a plane, when it is perpendicular to every straight line of the plane which it meets. An Elementary Geometry - Page 64by William Frothingham Bradbury - 1872 - 110 pagesFull view - About this book
| Euclid - Euclid's Elements - 1789 - 296 pages
...1. The common fection of two planes, is the line in which they meet, or cut each other. 2. A right **line is perpendicular to a plane, when it is perpendicular to every** right line which meets it in that plane. 3. A plane is perpendicular to a plane, when every right line... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...DEF. 88. The Common Section of two Planes, is the line in which they meet, to cut each other. 89. A **Line is Perpendicular to a Plane, when it is perpendicular to every** line in that plane which meets it. 90. One Plane is Perpendicular to Another, when every line of the... | |
| Charles Hutton - Astronomy - 1815 - 686 pages
...perpendicular to a curve, when it is perpendicular to the tanpent of the curve at the point of con- =, tact. A **line is perpendicular to a plane, when it is perpendicular to every** line drawn in the plane through the bottom of the perpendicular. And one plane is perpendicular to... | |
| Encyclopedias and dictionaries - 1816 - 764 pages
...THE COMMON SECTION of two planes, is the line in which tht-r meet, or cut each other. 68. A ftraight **line is PERPENDICULAR, to. a plane, when it is perpendicular to every** line which meets it in that plane. 69. One plane is PERPENDICULAR to another, vhen every right line... | |
| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...FIRST. '• ' . : .'•!. ..',•. - : V. -. '-.I Of planes and solid angles. .... . . 313. A 8TRAIGHT **line is perpendicular to a plane, when it is perpendicular to every straight line** in the plane which passes through the foot of the perpendicular (326). Reciprocally, the plane, in... | |
| Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...and, the radius being unity, 1°=:.01 7453293, 1'=.000290888, and 1"=: .000004848. 145. DEFINITION. **A straight line is perpendicular to a plane, when it is perpendicular to every straight line** meeting it in that plane. 146. DEFINITION. A plane is perpendicular to a plane, when all the straight... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...circle is greater 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... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...DEF. 88. The common Section of two Planes, is the line m which they meet, to cut each other. 89. A **line is Perpendicular to a Plane, when it is perpendicular to every** line in that plane which meets it. 90. One Plane is Perpendicular to Another, when every line of the... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...therefore AD . BD + В E . E С = AF . FG + AF . GC, or = AF . F C. ON THE INTERSECTION OF PLANES. **DEFINITIONS. 1. A STRAIGHT line is perpendicular to a plane when it** makes right angles with every straight line which it meets in that plane. 2. Two planes are perpendicular... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...polygon of the same perimeter. PART SECOND. SECTION FIRST. Of Planes and Solid Jingles. DEFINITIONS. 313. **A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line** in the plane which passes through the foot of the perpendicular (326). Reciprocally, the plane, in... | |
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