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" If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall also be at right angles to the plane which passes through them, that is, to the plane in which they are. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 133
των Dennis M'Curdy - 1846 - 138 σελίδες
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A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 456 σελίδες
...perp. to this plane. QED PROPOSITION 4. THEOREM. [Euclid-s Proof.] If a straight line is perpendicular to each of two straight lines at their point of intersection, it shall also be perpendicular to the plane in which they lie Let the st. line EF be perp. to each of...

Examinations Papers

1907
...the segments of the base and that contained by the sides of the triangle. 7. If a straight line be at right angles to each of two straight lines at their point of intersection, it is perpendicular to the plane in which they lie. AS and BC are two straight lines at right angles,...

The Messenger of Mathematics, Τόμος 5

1871
...are the middle points of the sides and A,B,C the intersections of opposite sides. EUCLID XI., &c. I. If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall also be at right angUs to the plane which passes through...

Calendar

University of St. Andrews - 1900
...How can the fourth point of a harmonic range be found, when three points of the range are given ? 6. If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall also be at right angles to their plane. The sum of the squares...

The New Zealand University Calendar, Τόμος 32

University of New Zealand - 1904
...Through three points not collinear only one plane can be drawn. If a straight line be perpendicular to each of two straight lines at their point of intersection it is perpendicular to the plane passing through them. All normals to the same plane are parallel to one...




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