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" STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Σελίδα 95
των Benjamin Greenleaf - 1861 - 490 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 σελίδες
...1. The common fection of two planes, is the line in which they meet, or cut each other. 2. A right line is perpendicular to a plane, when it is perpendicular to every right line which meets it in that plane. 3. A plane is perpendicular to a plane, when every right line...

A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 σελίδες
...DEF. 88. The Common Section of two Planes, is the line in which they meet, to cut each other. 89. A Line is Perpendicular to a Plane, when it is perpendicular to every line in that plane which meets it. 90. One Plane is Perpendicular to Another, when every line of the...

A Philosophical and Mathematical Dictionary: Containing an ..., Τόμος 2

Charles Hutton - 1815 - 686 σελίδες
...perpendicular to a curve, when it is perpendicular to the tanpent of the curve at the point of con- =, tact. A line is perpendicular to a plane, when it is perpendicular to every line drawn in the plane through the bottom of the perpendicular. And one plane is perpendicular to...

Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Τόμος 10

1816 - 764 σελίδες
...THE COMMON SECTION of two planes, is the line in which tht-r meet, or cut each other. 68. A ftraight line is PERPENDICULAR, to. a plane, when it is perpendicular to every line which meets it in that plane. 69. One plane is PERPENDICULAR to another, vhen every right line...

Elements of Geometry

Adrien Marie Legendre - 1819 - 574 σελίδες
...FIRST. '• ' . : .'•!. ..',•. - : V. -. '-.I Of planes and solid angles. .... . . 313. A 8TRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line in the plane which passes through the foot of the perpendicular (326). Reciprocally, the plane, in...

Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - 1821 - 402 σελίδες
...and, the radius being unity, 1°=:.01 7453293, 1'=.000290888, and 1"=: .000004848. 145. DEFINITION. A straight line is perpendicular to a plane, when it is perpendicular to every straight line meeting it in that plane. 146. DEFINITION. A plane is perpendicular to a plane, when all the straight...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 σελίδες
...circle is greater than any isoperi metrical polygon. BOOK V. PLANKS AND SOLID ANGLES. Definitions. I. A straight line is perpendicular to a plane, when it is perpendicular to all the straight lines (4. IV.) which pass through its foot in the plane. Conversely, the plane is...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 σελίδες
...DEF. 88. The common Section of two Planes, is the line m which they meet, to cut each other. 89. A line is Perpendicular to a Plane, when it is perpendicular to every line in that plane which meets it. 90. One Plane is Perpendicular to Another, when every line of the...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 294 σελίδες
...polygon of the same perimeter. PART SECOND. SECTION FIRST. Of Planes and Solid Jingles. DEFINITIONS. 313. A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line in the plane which passes through the foot of the perpendicular (326). Reciprocally, the plane, in...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 280 σελίδες
...polygon of the same perimeter. PART SECOND. SECTION FIRST. Of Planes and Solid Angles, DEFINITIONS. 313. A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line in the plane which passes through the foot of the perpendicular (326). Reciprocally, the plane, in...




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