| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...the diameter to the circumference. BOOK VI. PLANES AND POLYEDRAL ANOLKS. DEFINITIONS. 1. A straight **line is PERPENDICULAR TO A PLANE, when it is perpendicular to every** straight line of the plane which passes through its FOOT; that is, through the point in which it meets... | |
| William Guy Peck - Conic sections - 1876 - 394 pages
...an infinite distance in all directions ; its position is indicated by two or more of its lines. 89. **A line is perpendicular to a plane, when it is perpendicular to** all the lines of the plane that pass through its foot ; that is, through the point in which it meets... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...revolving on AB as an axis, occupies an infinite number of positions. DEFINITIONS. ;». 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... | |
| Alexis Claude Clairaut - 1881 - 180 pages
...perpendicular meets the plane 82 8. Simple modes of erecting or letting fall perpendiculars to planes . 83 9. **A line is perpendicular to a plane when it is perpendicular to** two lines on that plane drawn from the point where it meets the plane 83 1 0. Method of erecting a... | |
| Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...points be connected by a straight line, the line will lie wholly within the surface. 3. A straight **line is perpendicular to a plane when it is perpendicular to every** straight line of that plane which it can meet. The plane is also perpendicular to the line. 4. The... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...hexagon inscribed in the same circle. BOOK VI. PLANE8 AND POLYEDRAL ANGLE8. DEFINITIONS. 1. A straight **line is PERPENDICULAR TO A PLANE, when it is perpendicular to every** straight line of the plane which passes through its FOOT; that is, through the point in which it meets... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...intersection of the two planes. PERPENDICULARS AND OBLIQUE LINES TO PLANES. 6. Definition. A straight **line is perpendicular to a plane when it is perpendicular to every** straight line drawn in the plane through its foot; that is, through the point in which it meets the... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...contains either of these parallels / / and any point in the other, it is determined. (483) 487. A straight **line is, perpendicular to a plane when it is perpendicular to every** straight line which it meets in that plane. Conversely, the plane in this case is said to be perpendicular... | |
| Seth Thayer Stewart - Geometry - 1891 - 428 pages
...any two of its points are joined by a straight line, that line will lie wholly in the surface. 426. **A line is perpendicular to a plane when it is perpendicular to every line in** the plane drawn through its foot. The line AB is perpendicular to the plane 12; it is perpendicular... | |
| Euclid - Geometry - 1892 - 460 pages
...not planes, and of lines which can not be drawn on a plane surface. LINES AND PLANES. 1. A straight **line is perpendicular to a plane when it is perpendicular to every** straight line which meets it in that plane. NOTE. It will be proved in Proposition 4 that if a straight... | |
| |