 | Education, Higher - 1883 - 536 pages
...shall be similar to one given rectilineal figure, and equal to another giveu rectilineal figure. 16. 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... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...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... | |
 | Education, Higher - 1882 - 498 pages
...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 - Euclid's Elements - 1883 - 428 pages
...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 - 610 pages
...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... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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 - 756 pages
...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 - 538 pages
...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 - Geometry - 1890 - 414 pages
...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 - 644 pages
...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... | |
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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. 
