 | 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 - 1286 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 - 1190 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... | |
 | National Committee on Mathematical Requirements - Mathematics - 1923 - 680 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... | |
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If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines. 
