The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 74
If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A and B any two points in the circumference : the straight line drawn from A to B ...
If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A and B any two points in the circumference : the straight line drawn from A to B ...
Página 89
Let ABC be a circle , of which D is the centre and AB a diameter : the straight line drawn at right angles to AB , from its extremity A , shall fall without the circle . For , if not , let it fall , if possible , within the circle ...
Let ABC be a circle , of which D is the centre and AB a diameter : the straight line drawn at right angles to AB , from its extremity A , shall fall without the circle . For , if not , let it fall , if possible , within the circle ...
Página 260
from the centre F shall not fall entirely within the circle de scribed from the centre G ; the condition that A and Care greater than B , ensures that one of these circles shall not fall entirely without the other .
from the centre F shall not fall entirely within the circle de scribed from the centre G ; the condition that A and Care greater than B , ensures that one of these circles shall not fall entirely without the other .
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal 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 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 solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole