The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 72
An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . 9. And an angle is said to insist or ...
An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . 9. And an angle is said to insist or ...
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 ... For , if not , let it fall , if possible , within the circle , as AC , and ' draw DO to the point C , where it meets ...
Let ABC be a circle , of which D is the centre and AB a diameter : the straight line drawn at right angles to AB ... For , if not , let it fall , if possible , within the circle , as AC , and ' draw DO to the point C , where it meets ...
Página 91
And EB is drawn from the centre ; but the straight line drawn at right angles to a diameter of a circle , from the extremity of it , touches the circle ; [ III . 16 , Corollary . therefore AB touches the circle . And AB is drawn from ...
And EB is drawn from the centre ; but the straight line drawn at right angles to a diameter of a circle , from the extremity of it , touches the circle ; [ III . 16 , Corollary . therefore AB touches the circle . And AB is drawn from ...
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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