The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 26
At a given point in a given straight line , to make a rectilineal angle equal to a
given rectilineal angle . Let AB be the given straight line , and A the given point in
it , and DCE the given rectilineal angle : it is required to make at the given point A
...
At a given point in a given straight line , to make a rectilineal angle equal to a
given rectilineal angle . Let AB be the given straight line , and A the given point in
it , and DCE the given rectilineal angle : it is required to make at the given point A
...
Side 233
Wherefore , from the given point A , without the plane BH , the straight line AF has
been drawn perpendicular to the plane . Q.E.F. PROPOSITION 12. PROBLEM . D
To erect a straight line at right angles to a given plane , from a given point in ...
Wherefore , from the given point A , without the plane BH , the straight line AF has
been drawn perpendicular to the plane . Q.E.F. PROPOSITION 12. PROBLEM . D
To erect a straight line at right angles to a given plane , from a given point in ...
Side 285
8 , as given by Simson , it is inferred that two triangles which are similar to a third
triangle are similar to each other ; this is a particular case of VI . 21 , which the
student should consult , in order to see the validity of the inference . VI . 9.
8 , as given by Simson , it is inferred that two triangles which are similar to a third
triangle are similar to each other ; this is a particular case of VI . 21 , which the
student should consult , in order to see the validity of the inference . VI . 9.
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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 |