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Books Books 31 - 40 of 55 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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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - Science - 1854
...in space. MATHEMATICAL SCIENCES. No. VIII. DEFINITIONS. I. A straight line is perpendicular, or at right angles to a plane, when it makes right angles with every straight line in that plane which meets it. Thus, if BD he a plane, PA a line perpendicular to...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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 EF is at right angles to the plane...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...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 (/): therefore EF is at right angles to the plane...
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The elements of Euclid with many additional propositions and explanatory notes

Eucleides - History - 1860
...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 (/) : therefore EF is at right angles to the plane...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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. :5.) therefore EF is at right angles to...
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Euclid's Elements of geometry: chiefly from the text of Dr. Simson ...

Robert Potts - Mathematics - 1865 - 504 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 meete it in that plane : (xi. def. 3.) therefore EF is at right angles to...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...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;: Comprising the ...

Euclid, Isaac Todhunter - Geometry - 1867 - 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 ...

Isaac Todhunter - Euclid's Elements - 1867 - 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 iu that plane. 4. A plane is perpendicular to a plane, when the straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Mathematics - 1868 - 410 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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