The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 72
... 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 in- sist or stand on the circumference intercepted between the 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 in- sist or stand on the circumference intercepted between the straight lines ...
Página 89
... drawn at right angles to AB , from its extremity A , shall fall without the circle . For , if not , let it fall , if pos- sible , within the circle , as AC , and draw DO to the point C , where it meets the circumference . DC , Then ...
... drawn at right angles to AB , from its extremity A , shall fall without the circle . For , if not , let it fall , if pos- sible , within the circle , as AC , and draw DO to the point C , where it meets the circumference . DC , Then ...
Página 91
... 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 the given ...
... 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 the given ...
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Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore