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Books Books 1 - 10 of 51 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 Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...proved that FE makes right angles with every ftraight line which meets it in that plane. But a ftraight line is at right angles to a plane when it makes right angles with every ftrajght line which meets it in that plane f. therefore EFf. 3. Def. i<. is at right angles to...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...thickneft. II. That which bounds a fblid is a fuperficies. 111. A ftraight line is perpendicular, or at right angles to a plane, when it makes right angles with every ftraight line meeting it in that plane. IV. A plane is perpendicular to a plane, when the ftraight...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...proved, that FE makes right angles with every ftraight line which meets it in that plane. But a ftraight line is at right angles to a plane when it makes right angles with every ftraight line which meets it in that plane f : Therefore EF is at right angles to the plane f...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...therefore it makes right angles with every ftraight line which meets it in that plane. But a ftraight line is at right angles to a plane when it makes right angles with every ftraight line which meets it in that.plane f : therefore EK is at right an.-V f i.3 to the plane...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Trigonometry - 1799 - 351 pages
...angles with every ftraight line which meets it in the plane paffing through AB, CD. But a ftraight line is at right angles to a plane when it makes right angles with every ftraight fj.Def.ir. line which meets it in that plane i : Therefore EF is at right angles to...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...proved that FE makes right angles with every ftraight line which meets it in that plane. But a ftraight line is at right angles to a plane when it makes right angles with every ftraight line which meets it in that plane f. therefore EF fs-Def.n. is at right angles to the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...• BOOK II. OF THE INTERSECTIoN oF PLANES. I 4 .DEFINITIONS. I. A STRAIGHT line is perpendicular, or at right angles to a plane, when it makes right angles with every ftraight * line, in that plane, which it meets. II. A plane is perpendicular to a plane, when...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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 f : therefore EF is at right an- f 3. def. gles to...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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, »hen the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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 planefi: Therefore EF is at right .3 Def.i1. angles to the...
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