 | Euclides - 1881
...this proposition, and it seems almost impossible to do otherwise. PROP. IV. THEOREM. If a stratghi line stand at right angles to each of two straight lines at the point of their intersection, it is at right angles to the. plane in which they are. Let the straight... | |
 | 1882
...the base to the sum of the sides, the point of division is the centre of the inscribed circle. 16. If a straight line stand at right angles to each of...straight lines at their point of intersection, it shall also be at right angles to the plane which passes through them, that is, to the plane in which... | |
 | Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...planes AB and BC cannot but be a straight line. Wherefore, if two planes &c. QKD PROPOSITION 4. THEOREM. 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... | |
 | 1884
...another as their bases. Prove that triangles on the same base are to one another as their altitudes. 4. 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... | |
 | W. E. BYERLY - 1887
...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... | |
 | Canada. Department of the Interior - 1888
...solid angle be contained by three plane angles, any two of these angles are greater than the third. 4. If a straight line stand at right angles to each of two straight lines in the point of their intersection it will also be at right angles to the plane in which these lines... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...is at right angles to all straight lines meeting it in that plane. PROP. 4.— If a straight line is at right angles to each of two straight lines at their point of intersection, it is at right angles to the plane in which they are. Let the st. line EF be xr to each of the two st.... | |
 | Edward Albert Bowser - 1890 - 393 σελίδες
...perpendicular.SOLID GEOMETRY. Proposition 3. Theorem. '*• 500. If a ftraight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines. Hyp. Let OP beJ_to PA, PB at the pt. P. To prove OP is... | |
 | 1891
...the other. If A : B=P : <?then A + B : A~ B — P + Q : P~ Q. 2. If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to their plane. The locus of a point equidistant from three straight lines which meet... | |
 | Euclid - 1892 - 518 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... | |
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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. 
