The Elements of Euclid |
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Side 17
Wherefore the whole triangle ABC shall coincide with the whole triangle DEF ,
and be equal to it ; and the other angles of the one shall coincide with the
remaining angles of the other , and be equal to them , viz . the angle ABC to the
angle ...
Wherefore the whole triangle ABC shall coincide with the whole triangle DEF ,
and be equal to it ; and the other angles of the one shall coincide with the
remaining angles of the other , and be equal to them , viz . the angle ABC to the
angle ...
Side 18
... as therefore the base FC is equal to the base GB , and the triangle AFC to the
triangle AGB ; and the remaining angles of the one pie jare equal to the
remaining an- ja C gles of the other , each to each , to which the equal sides are
opsposite ...
... as therefore the base FC is equal to the base GB , and the triangle AFC to the
triangle AGB ; and the remaining angles of the one pie jare equal to the
remaining an- ja C gles of the other , each to each , to which the equal sides are
opsposite ...
Side 25
... but the angles ABC , ABD are likewise together equal to two right angles ;
therefore the angles CBA , ABE are equal to the angles CĎA , ABD : take away
the con mon angle ABC , the remaining angle ABE is equal to the remaining
angle b 3.
... but the angles ABC , ABD are likewise together equal to two right angles ;
therefore the angles CBA , ABE are equal to the angles CĎA , ABD : take away
the con mon angle ABC , the remaining angle ABE is equal to the remaining
angle b 3.
Side 26
... and the angle C AEB is equal b to the angle CEF , because they are oppo . site
vertical angles ; therefore the base AB is equal e to the G base CF , and the
triangle AEB to the triangle CEF , and the remaining angles to the remaining
angles ...
... and the angle C AEB is equal b to the angle CEF , because they are oppo . site
vertical angles ; therefore the base AB is equal e to the G base CF , and the
triangle AEB to the triangle CEF , and the remaining angles to the remaining
angles ...
Side 35
BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ;
and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a
straight line , & c . Q. E : D . 1 PROP . XXIX . TIIEOR . IF a straight line fall upon
two ...
BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ;
and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a
straight line , & c . Q. E : D . 1 PROP . XXIX . TIIEOR . IF a straight line fall upon
two ...
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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
Bibliografisk informasjon
| Tittel | The Elements of Euclid |
| Forfattere | Euclid, Robert Simson |
| Redaktør | Robert Simson |
| Utgiver | Johnson and Warner, 1811 |
| Original fra | University of Chicago |
| Digitalisert | 17. jun 2013 |
| Lengde | 518 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |