 ANGLES. DEFINITIONS. - / 1. A straight line is perpendicular to a plane when it is perpendicular to every straight line of the plane which it meets. Conversely, the plane, in this case, is perpendicular to the line. The foot of the perpendicular is the...  An Elementary Geometry - Page 50by William Frothingham Bradbury - 1872 - 110 pagesFull view - About this book
 | Euclid - Euclid's Elements - 1789 - 296 pages
...1. The common fe£Hon 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... | |
 | John Bonnycastle - 1803 - 306 pages
...1. The common feftion 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 - 1811 - 406 pages
...DKF. 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 - Mathematics - 1812 - 620 pages
...DEF. 88. The Common Section of two Planes, is the line in which they meet, to cut euch 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 cvery line of the... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...DEFINITIONS. 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 - Arithmetic - 1818 - 646 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... | |
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...polygon of the same perimeter. PART SECOND. SECTION FIRST. Of planes and solid angles. DEFWITIOA'S. 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... | |
 | Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...437.7467'=206264.8”; and, the radius being unity, 1°=.017453293, 1'=.000290888, and I” .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 isoperimctrical polygon. BOOK V. PLANES 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... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...therefore AD . BD + В E . E С = A F. 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... | |
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