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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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Yale Examination Papers

Yale University - 1892 - 139 σελίδες
...area will be a maximum when these sides are at right angles. 7. If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of these lines. 8. Define symmetrical polyhedral angles. Illustrate the...

The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - 1893 - 126 σελίδες
...straight line and a point without, § 5. PROPOSITION II. THEOREM. 15. 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. Notation. Let m and n be two straight lines which determine...

Elementary Geometry

William Chauvenet - 1893
...from the foot of the perpendicular. PROPOSITION IV.—THEOREM. 10. 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. Let AP be perpendicular to PB and PC, at their intersection...

Examination Papers for the Academic Year ...

1893
...plane, surface vf revolution, oblique prism, sphere. 15 2 Prove that if a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of the two lines. 1 8 3 Prove that the sum of the face angles of any...

Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 σελίδες
...plane is perpendicular to the line. PROPOSITION III. THEOREM 511. If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to Hie plane of those lines. GIVEN — the straight line BG perpendicular to each...

Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 σελίδες
...plane is perpendicular to the line. PROPOSITION III. THEOREM 511. 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. GIVEN—the Straight line BG perpendicular to each of...

Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 208 σελίδες
...prism, a parallelopiped, a pyramid, a cone, a cylinder, a sphere. 2. 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. 3. If a pyramid is cut by a plane parallel to its base,...

Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898
...prism, a parallelepiped, a pyramid, a cone, a cylinder, a sphere. 2. 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. 3. If a pyramid is cut by a plane parallel to its base,...

Plane and Solid Geometry

James Howard Gore - 1898 - 210 σελίδες
...from the foot of the perpendicular. PROPOSITION III. THEOREM. 337. 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. To prove that BA is perpendicular to EA and hence perpendicular...

Calendar

University of St. Andrews - 1902
...the mid-point of BC. AE cuts the diagonal BD in F. Prove that BF is £ BD. 11. If a straight line be at right angles to each of two straight lines at their point of intersection it shall be at right angles to the plane containing them. From a point P are drawn lines PA, PB perpendicular...




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