| Education, Higher - 1883
...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 - 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
...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 - 426 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
...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 - 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 - 515 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 - 393 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
...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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