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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 ... - Page 133
by Dennis M'Curdy - 1846 - 138 pages
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The Cambridge Examiner, Volume 3

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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

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...
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The Cambridge Examiner, Volume 2

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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Examinations Papers

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...
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Chauvenet's Treatise on Elementary Geometry

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...
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Annual Report

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...
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The Harpur Euclid: An Edition of Euclid's Elements

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....
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The Elements of Plane and Solid Geometry ...

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...
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Examinations Papers

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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