The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 23
Therefore AC is greater than AB . Wherefore , the greater angle & c . Q.E.D.
PROPOSITION 20. THEOREM . Any two sides of a triangle are together greater
than the third side . Let ABC be a triangle : any two sides of it are together greater
than ...
Therefore AC is greater than AB . Wherefore , the greater angle & c . Q.E.D.
PROPOSITION 20. THEOREM . Any two sides of a triangle are together greater
than the third side . Let ABC be a triangle : any two sides of it are together greater
than ...
Side 151
some equimultiples of A and B , and some multiple of C , such that the multiple of
A is greater than the multiple of C , but the multiple of B is not greater than the
multiple of C. Let such multiples be taken ; and let D and E be the equimultiples c
F ...
some equimultiples of A and B , and some multiple of C , such that the multiple of
A is greater than the multiple of C , but the multiple of B is not greater than the
multiple of C. Let such multiples be taken ; and let D and E be the equimultiples c
F ...
Side 155
ratio than the fifth to the sixth , the first shall have to the second a greater ratio
than the fifth has to the sixth . Let A the first have the same ratio to B the second
that C the third has to D the fourth , but the third a greater ratio to D the fourth than
E ...
ratio than the fifth to the sixth , the first shall have to the second a greater ratio
than the fifth has to the sixth . Let A the first have the same ratio to B the second
that C the third has to D the fourth , but the third a greater ratio to D the fourth than
E ...
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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 |