| High schools - 1919 - 962 pages
...subject, namely a model to illustrate the theorem: If a line is perpendicular to each of two other **lines at their point of intersection it is perpendicular to the plane** of the two lines. This model is made according to specifications, insuring uniformity, and I make a... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...PERPENDICULAR TO THE PLANE OF TWO GIVEN LINES 76. THEOREM III. If a line is perpendicular to each of two **lines at their point of intersection, it is perpendicular to the plane** of these lines. Given a line / perpendicular to each of the lines /, and /2 at the point P. To prove... | |
| United States. Office of Education - 1921 - 1268 pages
...meet, they intersect in a straight line. 2. If a line is perpendicular to each of two intersecting **lines at their point of intersection it is perpendicular to the plane** of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular... | |
| Sir Thomas Little Heath - Mathematics - 1921 - 612 pages
...(1) that the ‘distance' between the two lines as defined is perpendicular to both, and (2) that, **if a straight line is perpendicular to each of two straight lines** and meets both, the two straight lines are parallel, and the ‘distance' is the intercept on the perpendicular... | |
| Education - 1921 - 1198 pages
...meet, they intersect in a straight line. 2. If a line is perpendicular to each of two intersecting **lines at their point of intersection it is perpendicular to the plane** of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular... | |
| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...produced indefinitely. Proposition 204 Theorem // a line is perpendicular to each of two intersecting **lines at their point of intersection, it is perpendicular to the plane** determined by these lines. Hypothesis. The line AB is -L to the lines BC and BD at their point of intersection,... | |
| National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...meet, they intersect in a straight line. 2. If a }ine is perpendicular to each of two intersecting **lines at their point of intersection it is perpendicular to the plane** of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...dihedral angle. 3. By definition of a perpendicular. 4. Given. 5. If a line is perpendicular to two **lines at their point of intersection, it is perpendicular to the plane** determined by them. 282. Corollary 1. If two planes are perpendicular to each other, a, perpendicular... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...foot in the plane. PROPOSITION VIII. THEOREM 499. If a straight line is perpendicular to each of two **lines at their point of intersection, it is perpendicular to the plane** of those lines. A A Given BC and BD _L AB, and plane MN containing BC and BD. To prove AB _L plane... | |
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