The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 58
If a straight line be bisected , and produced to any point , the rectangle contained
by the whole line thus produced , and the part of it produced , together with the
square on half the line bisected , is equal to the square on the straight line which
...
If a straight line be bisected , and produced to any point , the rectangle contained
by the whole line thus produced , and the part of it produced , together with the
square on half the line bisected , is equal to the square on the straight line which
...
Side 64
If a straight line be bisected , and produced to any point , the square on the whole
line thus produced , and the square on the part of it produced , are together
double of the square on half the line bisected and of the square on the line made
up ...
If a straight line be bisected , and produced to any point , the square on the whole
line thus produced , and the square on the part of it produced , are together
double of the square on half the line bisected and of the square on the line made
up ...
Side 102
Let ADB be the given arc : it is required to bisect it . Join AB ; bisect it at C ; [ I. 10 .
from the point C draw CD at right angles to AB meeting the arc at D. [ 1. 11 . С
The arc ADB shall be bisected at the point D. Join AD , DB . Then , because AC is
...
Let ADB be the given arc : it is required to bisect it . Join AB ; bisect it at C ; [ I. 10 .
from the point C draw CD at right angles to AB meeting the arc at D. [ 1. 11 . С
The arc ADB shall be bisected at the point D. Join AD , DB . Then , because AC is
...
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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 |