The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 59
If a straight line be divided into any two parts , the 8quares on the whole line , and
on one of the parts , are equal to twice the rectangle contained by the whole ' and
that part , together with the square on the other part , Let the straight line AB ...
If a straight line be divided into any two parts , the 8quares on the whole line , and
on one of the parts , are equal to twice the rectangle contained by the whole ' and
that part , together with the square on the other part , Let the straight line AB ...
Side 133
Then , of such equal parts as the whole circumference ABCDF contains fifteen ,
the arc ABC , which is the third part of the whole , contains five , and the arc AB ,
which is the fifth part of the whole , contains three ; therefore their difference , the
...
Then , of such equal parts as the whole circumference ABCDF contains fifteen ,
the arc ABC , which is the third part of the whole , contains five , and the arc AB ,
which is the fifth part of the whole , contains three ; therefore their difference , the
...
Side 297
Then , since EF is equal to C , KM ( together ) , and in them OP is equal to KM ,
therefore the remainder , the gnomon UWV , is equal to the remainder C. And
since PR is equal to OS , let SR be added to each ; therefore the whole PB is
equal to ...
Then , since EF is equal to C , KM ( together ) , and in them OP is equal to KM ,
therefore the remainder , the gnomon UWV , is equal to the remainder C. And
since PR is equal to OS , let SR be added to each ; therefore the whole PB is
equal to ...
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Vanlige uttrykk og setninger
ABCD AC is equal angle ABC angle ACB angle BAC Axiom base bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson square square on AC straight line &c suppose Take taken THEOREM third triangle ABC Wherefore whole
Bibliografisk informasjon
| Tittel | The Elements of Euclid, Bøker 1-6;Bok 11 Utgave 891 av Everyman's library Utgave 891 av Everyman's library, ed. by Ernest Rhys. Science. [No. 891] Utgave 891 av Everyman's library: Science |
| Forfatter | Euclid |
| Redaktører | Isaac Todhunter, Robert Simson |
| Utgiver | J.M. Dent & Sons, Limited, 1933 |
| Original fra | University of California, Berkeley |
| Digitalisert | 5. aug 2019 |
| Lengde | 298 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |