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" 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 them, that is, to the plane in which they are. "
Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections - الصفحة 110
بواسطة Horatio Nelson Robinson - 1854 - عدد الصفحات: 335
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - عدد الصفحات: 546
...planes AB, BC cannot but be a straight line. Wherefore, if two planes, &c. QED PROP. IV. THEOR. SeeN. 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 ri^ht angles to the plane which...

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

John Playfair - 1806 - عدد الصفحات: 320
...is the common section of these planes. Therefore, if two planes, &c. QED A PROP. IV. THEOR. a 2. 6. 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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 5

John Mason Good - 1813 - عدد الصفحات: 714
...III. Theor. If two planes cut one another, their common section is a straight line. Piop. 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...

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

John Playfair - 1819 - عدد الصفحات: 350
...planes AB and BC, or it is the common section of these planes. Therefore, &c. Q,. ED 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...

Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

1821 - عدد الصفحات: 464
...yards cost £2%, find the value of 5-f yards lx>th by vulgar fractions and by decimals. 2. Prove that if a straight line stand at right angles to each of two straight lines in the point of their intersection, it will be at right angles to the plane that passes...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - عدد الصفحات: 1046
...section of the planes AB, RC cannot but be a straight line. Wherefore, if two planes, &c. QED PROP. IV. THEOREM. If a straight line stand at right angles to each of tnio straight lines in the point of their intersection, it shall alto be ai right angles to the plane...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - عدد الصفحات: 546
...AB, BC, cannot but be a straight line. Wherefore, if two planes, &c. Q. E, D. PROP. IV. THEOR. See N. 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...

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - عدد الصفحات: 584
...and perpendicular itraight line. A straight line when said to be perpendicular to a plane . . 125 (a) If a straight line stand at right angles to each of two otlter straight lines at their point of intersection, it shall be at right angles to the plane in which...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - عدد الصفحات: 684
...joins any two of its points, that is, it is a straight line. Therefore, &c. PROP. 3. (Еве. xi. 4.) If a straight line stand at right angles to each of two other straight lines at their point uf intersection, it shall be at right angles to every other straight line which pauses through the...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - عدد الصفحات: 540
...BC, cannot but be a straight line. Wherefore, " if two planes" &c. QED L. 'A PROP. IV. THEOR. See N. If a straight line stand at right angles to each of two straight lines in the point of their intersection, if shall also be at right angles to the plane which...




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