The Elements of Euclid |
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Side 196
A SOLID is that which hath length , breadth , and thickness . II . That which
bounds a solid is a superficies . III . 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 ...
A SOLID is that which hath length , breadth , and thickness . II . That which
bounds a solid is a superficies . III . 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 ...
Side 197
Х one another , which two other planes have , when the said angles of inclination
are equal to one another . VIII . Parallel planes are such which do not meet one
another though produced . IX . A solid angle is that which is made by the meeting
...
Х one another , which two other planes have , when the said angles of inclination
are equal to one another . VIII . Parallel planes are such which do not meet one
another though produced . IX . A solid angle is that which is made by the meeting
...
Side 198
The base of a cone is the circle described by that side containing the right angle ,
which revolves . XXI . A cylinder is a solid figure described by the revolution of a
right angled parallelogram about one of its sides , which re . mains fixed . XXII .
The base of a cone is the circle described by that side containing the right angle ,
which revolves . XXI . A cylinder is a solid figure described by the revolution of a
right angled parallelogram about one of its sides , which re . mains fixed . XXII .
Side 213
THEOR . See Note , IF a solid angle be contained by three plane angles , any two
of them are greater than the third . Let the solid angle at A be contained by the
three plane angles BAC , CAD , DAB . Any two of them are greater than the third .
THEOR . See Note , IF a solid angle be contained by three plane angles , any two
of them are greater than the third . Let the solid angle at A be contained by the
three plane angles BAC , CAD , DAB . Any two of them are greater than the third .
Side 214
Next , let the solid angle at A be contained by any number of plane angles BAC ,
CAD , DAE , EAF , FAB ; these together are less than four right angles . Let the
planes in which the angles are , be cut by a plane , and " let the common section
of ...
Next , let the solid angle at A be contained by any number of plane angles BAC ,
CAD , DAE , EAF , FAB ; these together are less than four right angles . Let the
planes in which the angles are , be cut by a plane , and " let the common section
of ...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1825 |
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Euclid,Robert Simson Uten tilgangsbegrensning - 1838 |
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1892 |
Vanlige uttrykk og setninger
added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole