| Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...of § 4 by selecting three points, two in one of the given lines and the third in the other line. 6. 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, the point where it meets the plane. Conversely,... | |
| William C. Bartol - Geometry, Solid - 1893 - 112 pages
...plane is the point where the line pierces the plane. This point is called the foot of the line. 4. A line is perpendicular to a plane when it is perpendicular to every line of the plane, passing through its foot. And the plane is then perpendicular to the line. 5. Planes... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...third in the other line, the first two giving the required line and the third the required point. 326. 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, the point where it meets the plane. Conversely,... | |
| William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...Perpendicular Lines. Lines are mutually perpendicular when their difference of direction is ninety degrees. A straight line is perpendicular to a plane when it is perpendicular to all lines of the plane through its foot. Perpendicular Planes. Two planes are mutually perpendicular... | |
| Webster Wells - Geometry - 1899 - 180 pages
...meets a plane, the point of intersection is called the foot of the line. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line drawn in the plane through its foot. A straight line is said to be parallel to a plane when it cannot... | |
| Webster Wells - Geometry - 1899 - 196 pages
...meets a plane, the point of intersection is called the foot of the line. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line drawn in the plane through its foot. A straight line is said to be parallel to a plane when it cannot... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 174 pages
...and in one only. In this position the pencil is said to be perpendicular to the plane of the paper. A straight line is perpendicular to a plane when it is perpendicular to any two straight lines that can be drawn in the plane through the point of its intersection with the... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...be of indefinite length, and the planes of infinite extent. EUCLID'S ELEMENTS. 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 line is perpendicular... | |
| Charles Davison - Geometry, Solid - 1905 - 140 pages
...determined by certain conditions when no other plane can be made to satisfy those conditions. DBF. 3. A straight line is perpendicular to a plane when it is perpendicular to every line which can be drawn to meet it in that plane. DBF. 4. A straight line is parallel to a plane when,... | |
| Frank Moulton Saxelby - Mathematics - 1905 - 460 pages
...have 192. Measurement of Angles between Straight Lines and Planes. — A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line in that plane. 323 lines drawn one in each plane perpendicular to the line of intersection of the two... | |
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