The Elements of Euclid |
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Side 51
If there be two straight lines , one of which is divided into any number of parts ;
the rectangle contained by the two straight lines , is equal to the rectangles
contained by the undivided line , and the several parts of the divided line . Book II
. a 11.
If there be two straight lines , one of which is divided into any number of parts ;
the rectangle contained by the two straight lines , is equal to the rectangles
contained by the undivided line , and the several parts of the divided line . Book II
. a 11.
Side 52
Let A and BC be two straight lines , and let BC be divided into any parts in the
points D , E , the rectangle contained by the straight lines A , BC is equal B D E C
to the rectangle contained by A , BD , together with that contained by A , DE , and
...
Let A and BC be two straight lines , and let BC be divided into any parts in the
points D , E , the rectangle contained by the straight lines A , BC is equal B D E C
to the rectangle contained by A , BD , together with that contained by A , DE , and
...
Side 53
AC ; for it is contained by DA , AC , of which AD is equal to Bock II .. AB ; and CE
is contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained
by AB , AC , together with the rectangle AB , BC , is equal to the square of AB .
AC ; for it is contained by DA , AC , of which AD is equal to Bock II .. AB ; and CE
is contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained
by AB , AC , together with the rectangle AB , BC , is equal to the square of AB .
Side 54
... wherefore the figure CGKB is equilateral ; it is likewise rectangular ; for CG is
parallel to BK , and CB meets them ; the ... CB ; and because the complement AG
is equals to the complement GE , ảnd that AG is the rectangle contained by AC ...
... wherefore the figure CGKB is equilateral ; it is likewise rectangular ; for CG is
parallel to BK , and CB meets them ; the ... CB ; and because the complement AG
is equals to the complement GE , ảnd that AG is the rectangle contained by AC ...
Side 55
V. THEOR . с If a straight line be divided into two cqual parts , and also into two
unequal parts ; the rectang !. contained by ... two unequal parts at the point D ; the
rectangle AD , DB , together with the square of CD , is equal to the square of CB .
V. THEOR . с If a straight line be divided into two cqual parts , and also into two
unequal parts ; the rectang !. contained by ... two unequal parts at the point D ; the
rectangle AD , DB , together with the square of CD , is equal to the square of CB .
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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
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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 |