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" A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. 5. The inclination of a straight line to a plane... "
The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ... - Σελίδα 22
των William Whewell - 1837 - 182 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...hath length, breadth, and thicknefs. II. That which bounds a folid is a fuperficies. III. 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. rv. A plane is perpendicular to a plane, when the ftraight...

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

Robert Simson - 1775 - 520 σελίδες
...hath length, breadth, and 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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...which hath length, breadth, and thicknefs, That which bounds a folid is a uoerficies. Ill A ftraight line is perpendicular, or at right angles to a plane, when it makes right angles with every itraight line meeting it in that plane. IV. A plane is perpendicular to a plane, when the ftraight...

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

John Playfair - 1795 - 400 σελίδες
...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 in...

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

Alexander Ingram - 1799 - 351 σελίδες
...hath length, breadth, and thicknefs. >^ n. That which bounds a folid is a fuperficies. III. 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...

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

Euclid, John Playfair - 1804 - 440 σελίδες
...ELEMENTS oF GEOMETRY. SUPPLEMENT, • 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 the ftraight...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...hath length, breadth, and thicknefs. II. That which bounds a folid is a fupcrficies. III. 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...

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

Euclid, Robert Simson - 1806 - 518 σελίδες
...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 the plane in which...

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

John Playfair - 1806 - 311 σελίδες
...lines BD, BE, it is also at right angles'1 b*. 2. Sup. to the plane passing through them, and therefore makes right angles with every straight line meeting it in that plane. But BF meets AB in that plane ; therefore the angle ABF is a right angle. But, by the Viypothesis,...

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

John Mason Good - 1813
...that wh.ich hath length, breadth, and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles...with every straight line meeting it in that plane. 4. A plane is perpendicular to a plane, »hen the straight lines drawn in one of the planes perpendicularly...




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