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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. "
Solutions of the Cambridge Problems, from 1800 to 1820 - Page 653
by John Martin Frederick Wright - 1836
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...0, ED Note. — The Propositions which follow are numbered as in iluolid. PROPOSITION IV. THEOREM. If a straight line stand at right angles to each of two i lines, at the point of their intersection, it must also be at right angles to the plane that passes...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. 12. If a straight line stand at right angles to each of two straight lines at their point of intersection, it shall also be at right angles to the plane which passes through...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...sides, find the area of the polygon, and hence prove that Trr2 is the area of a circle of radius r. 1. If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall be at right angles to the plane which passes through them....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...planes AB and BC cannot but be a straight line. Wherefore, if two planes &c. QED 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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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...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...right angles to the plane which passes through them, that is, to the plane in which they are. Algebra. Junior, Senior, and Higher Local. Junior Work, Nog....
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The Cambridge Examiner, Volume 2

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 two straight lines at their point of intersection, it shall also be at right angles to the plane which passes through...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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Examinations Papers

1884 - 610 pages
...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...right angles to the plane which passes through them, that is to the plane in which they are. II. — 1. Define the sine and cosine of an angle, and state...
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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...straight lines in the point of their intersection it will also be at right angles to the plane in which these lines are. -6. How many yards of cloth are...
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Examinations Papers

1890 - 608 pages
...diminishing its terms by the same magnitude, and diminished by increasing its terms by the same magnitude. 2. If a straight line stand at right angles to each of two straight lines at their point of intersection, it is at right angles to the plane which passes through them. Two tetrahedra...
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