The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 36
All the interior angles of any rectia lineal figure , together with four right angles ,
are equal to twice as many right angles as the figure has sides For any rectilineal
figure ABCDE can be divided into as many triangles as the figure has sides , by ...
All the interior angles of any rectia lineal figure , together with four right angles ,
are equal to twice as many right angles as the figure has sides For any rectilineal
figure ABCDE can be divided into as many triangles as the figure has sides , by ...
Side 61
Therefore the four rectangles AG , MP , PL , RF are equal to one another , and so
the four are quadruple of one of thom AG . And it was shewn that the four CK , BN
, GR and RN are quadruple of CK ; therefore the eight rectangles which make ...
Therefore the four rectangles AG , MP , PL , RF are equal to one another , and so
the four are quadruple of one of thom AG . And it was shewn that the four CK , BN
, GR and RN are quadruple of CK ; therefore the eight rectangles which make ...
Side 136
Permutando , or alternando , by permutation or alternately ; when there are four
proportionals , and it is inferred that the first is to the third , as the second is to the
fourth . V. 16 . 14. Invertendo , by inversion ; when there are four proportionals ...
Permutando , or alternando , by permutation or alternately ; when there are four
proportionals , and it is inferred that the first is to the third , as the second is to the
fourth . V. 16 . 14. Invertendo , by inversion ; when there are four proportionals ...
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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 |