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Books Books 41 - 50 of 50 on AB, CD. In like manner, it may be proved, that FE makes right angles with every straight....  
" AB, CD. In like manner, it may be proved, that FE makes right angles with every straight line which meets it in that plane. But a straight line is at right angles to a plane when it makes right angles with every straight line which meets it in that plane... "
Books 10-13 and appendix - Page 279
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The theory of navigation and nautical astronomy: together with the elements ...

William Thomas Read - Nautical astronomy - 1869 - 154 pages
...taken, the line joining those points lies wholly in that surface. 2. A straight line is said to be at right angles to a plane, when it makes right angles with every line which meets it in that plane. 3. The inclination of a plane to a plane, is the acute angle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...it may be proved that FE makes right angles with every other straight line meeting it in that plane. But a straight line is at right angles to a plane when it makes right angles with every straight line meeting it in that plane (XI. Def. 3) ; therefore . 9. EF is at right angles to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts, Thomas Kirkland - Geometry, Plane - 1876 - 403 pages
...it may be proved, that FE makes right angles with every straight line which meets it in that plane. But a straight line is at right angles to a plane when it makes right angles with every straight line which meets it in that plane : (XI. def. 3.) therefore EF is at right angles to...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles, to a plane, when it makes right angles with every straight line meeting it in that plane. 4. A plane is perpendicular to a plane, when the straight...
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The Elements of Euclid: For the Use of Schools and Colleges; Comprising the ...

Euclid - 1883
...and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles, to a plane, when it makes right angles with every straight line meeting it in that plane. 4. A plane is perpendicular to a plane, when the straight...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - Mathematics - 1890 - 515 pages
...thickness. 2. That which bounds a solid is a 'superficies.' 3. A straight line is 'perpendicular,' or 'at right angles,' to a. plane, when it makes right angles with every straight line meeting it in that plane. 4. A plane is ' perpendicular,' or at right angles, to...
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Mathematical Thought from Ancient to Modern Times:

Morris Kline - Mathematics - 1990 - 428 pages
...which has length, breadth, and depth. Definition 2. An extremity of a solid is a surface. Definition 3. A straight line is at right angles to a plane when...with all the straight lines which meet it and are in the plane. Definition 4. A plane is at right angles to a plane when the straight lines drawn, in one...
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The Thirteen Books of Euclid's Elements, Volume 1, Books 1-2

Robert Catesby Taliaferro, Euclid, Martin Luther D'Ooge, Archimedes, Sir Thomas Little Heath, Nicomachus (of Gerasa.), Apollonius (of Perga.) - 1956 - 848 pages
...1. A solid is that which has length, breadth, and depth. 2. An extremity of a solid is a surface. 3. A straight line is at right angles to a plane, when...with all the straight lines which meet it and are in the plane. '4. A plane is at right angles to a plane when the straight lines drawn, in one of the planes,...
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Mesuration and Elementary Solid Geometry for Schools

...( 60). Straight Lines which meet parallel planes are cut by these planes in the same ratio ( 61). A straight line is at right angles to a plane when it is at right angles to every line meeting it in the plane ( 62-64). Angle between two planes (65)....
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The Cambridge Series for School and Training Colleges , Geometrical Drawing

...dihedral angle is that made by the under surface of the HP and the front surface of the VP (202). * A straight line is at right angles to a plane, when it is at right angles to every straight line in the plane that passes through their point of section....
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