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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 ... - Σελίδα 133
των Dennis M'Curdy - 1846 - 138 σελίδες
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...cannot but be a straight line.* Therefore, &c. Puor. IV. THEOR. — If a straight line be perpendicular to each of two straight lines at their point of intersection, it is also perpendicular to the plane in which they are. Let the straight lineEF be perpendicular to each...

A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845
...common section of the two planes is a straight line. GEOMETRY OF PLANES. PBOPOSITION LXXX — THEOREM. If a straight line stand at right angles to each of two traight lines in the point of their intersection, it will also e at right angles to the plane in which...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...therefore common to the planes AB and BC, or it is the common sectioa of these planes. PROP. IV. THEOR. 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...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...planes AB, BC, cannot but be a straight line. Wherefore, If two planes %c. ct. KD PROP. IV. THEOR. If a straight line stand at right angles to each of two straight lines in the point of their intersection, it shall also be at right angles to the plane which passes through...

The Mechanic's Magazine, Museum, Register, Journal and Gazette, Τόμος 44

1846
...too, by Euclid with an elegance fully equal to that by which any other author has proved it,) that "if a straight line stand at right angles to each of two stright lines at their point of intersection, it shall also be at right angles to every other line...

Iron: An Illustrated Weekly Journal for Iron and Steel ..., Τόμος 44

Perry Fairfax Nursey - 1846
...too, by Euclid with an elegance fully equal to that by which any other author has proved it,) that "if a straight line stand at right angles to each of two stright lines at their point of intersection, it shall also be at right angles to every other line...

An elementary course of mathematics, Τόμος 2

Samuel Hunter Christie - 1847
...section of the planes AB, BC, cannot but be a straight line: which was to be proved. PROP. IV. THEOR. If a straight line stand at right angles to each of two straight lines in the point of their intersection, it shall also be at right angles to the plane which passes through...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...common section. Hence, if two planes, &c. PROPOSITION IV. THEOREM. If a straight line be perpendicular to each of two straight lines at their point of intersection, it will be perpendicular to the plane in which these lines are. Through B draw any line BG, in the plane MN;...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 317 σελίδες
...therefore common to the planes AB and BC, or it is the common section of these planes. PROP. IV. THEOR. If a straight line stand at right angles to each of two straight hnes in the point of their intersection, it will also be at right angles to the plane in which these...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...angle, the planes are said to be perpendicular to one another. 5. If a straight line be perpendicular to each of two straight lines at their point of intersection, it is said to be perpendicular to the plane passing through those two lines. Conversely, the plane is...




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