The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 53
If there be two straight lines , one of which is divided into any number of parts ,
the rectangle contained by the troo straight lines is equal to the rectangles
contained by the undicided line , and the several parts of the divided line . Let A
and BC ...
If there be two straight lines , one of which is divided into any number of parts ,
the rectangle contained by the troo straight lines is equal to the rectangles
contained by the undicided line , and the several parts of the divided line . Let A
and BC ...
Side 54
If a straight line be divided into any troo parts , the rectangles contained by the
whole and each of the parts , are together equal to the square on the whole line .
Let the straight line AB be divided into any two parts at tho point C : the rectangle
...
If a straight line be divided into any troo parts , the rectangles contained by the
whole and each of the parts , are together equal to the square on the whole line .
Let the straight line AB be divided into any two parts at tho point C : the rectangle
...
Side 194
Let the four straight lines AB , CD , E , F , be proportionals , namely , let AB be to
CD as E is to F : the rectangle contained by AB and F shall be equal to the
rectangle contained by CD and E. From the points A , C , draw AG , CH at right
angles ...
Let the four straight lines AB , CD , E , F , be proportionals , namely , let AB be to
CD as E is to F : the rectangle contained by AB and F shall be equal to the
rectangle contained by CD and E. From the points A , C , draw AG , CH at right
angles ...
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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 |