 | Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...revolved into the horizontal plane, the point of contact is at G". In the counter revolution, G" describes the circumference of a circle whose plane is perpendicular to the axis HL ; and when the plane of the cone's base becomes perpendicular to the horizontal plane, G is the... | |
 | Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...revolved into the horizontal plane, the point of contact is at G". In the counter revolution, G" describes the circumference of a circle whose plane is perpendicular to the axis HL ; and when the plane of the cone's base becomes perpendicular to the horizontal plane, G is the... | |
 | John Narrien - Geodesy - 1845 - 484 pages
...will be an orthographical projection of the path described by the spot. The true path of the spot is the circumference of a circle whose plane is perpendicular to the axis of the sun's rotation, or parallel to what may be called the sun's equator ; and therefore, from three... | |
 | Albert Ensign Church - Geometry, Descriptive - 1865 - 160 pages
...to be revolved about a right line as an axis, when it is so moved that each of its points describes the circumference of a circle whose plane is 'perpendicular to the axis, and whose centre is in the axis. By this revolution, it is evident that the relative position of the points... | |
 | Albert Ensign Church - Geometry, Descriptive - 1865 - 214 pages
...be re- ' volved about a right line as an axis, when it is so moved that each of its points describes the circumference of a circle whose plane is perpendicular to the axis, and whose centre is in the axis. By this revolution, it is evident that the relative position of the points... | |
 | William Guy Peck - Mechanics - 1870 - 322 pages
...dipping into the reservoir. "When the cylinder is turned on its axis, the lower end of the tube describes the circumference of a circle, whose plane is perpendicular to the axis. When the mouth of the tube comes to the level of the axis and begins to ascend, there is a certain... | |
 | James Maurice Wilson - 1873 - 178 pages
...OP therefore describes a right circular cone. (Def. 27.) Therefore the sphere touches the cone along the circumference of a circle whose plane is perpendicular to the axis of the cone. COR. Tangents drawn to a sphere from an external point are equal. THEOREM 37. The. line... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...diameter, as an axis. In this revolution every jx)int of the st1ni.tircumfer• ence will generate the circumference of a circle whose plane is perpendicular to the axis, and whose radius is the distance of that point from the axis. 120. A plane is tangent to the surface of... | |
 | J. G - 1878 - 408 pages
...line as tangent. 4. A right circular cone may be circumscribed to a sphere and will touch It along the circumference of a circle, whose plane is perpendicular to the axis of the cone. Describe a circle ; draw a diameter, and produce it to any point. From this point draw... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...OP therefore describes a right circular cone. (Def- 2?-) Therefore the sphere touches the cone along the circumference of a circle whose plane is perpendicular to the axis of the cone. COR. Tangents drawn to a sphere from an external point are equal. THEOREM 37. The line... | |
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... one of these meridian lines about the axis. 97- If two surfaces of revolution having a common axis intersect, the line of intersection must be the circumference of a circle whose plane is perpendicular to the axis and center in the axis. 
