The Elements of Euclid, Libros 1-6;Libro 11 |
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Q.E.D. PROPOSITION 17. THEOREM . Any tro angles of a triangle are together less than two right angles . Let ABC be a triangle : any two of its angles are together less than two right angles . А Produce BOto D. Then because ACD is the ...
Q.E.D. PROPOSITION 17. THEOREM . Any tro angles of a triangle are together less than two right angles . Let ABC be a triangle : any two of its angles are together less than two right angles . А Produce BOto D. Then because ACD is the ...
Página 43
Q.E.D. PROPOSITION 41. THEOREM . If a parallelogram and a triangle be on the same base and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be on the same ...
Q.E.D. PROPOSITION 41. THEOREM . If a parallelogram and a triangle be on the same base and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be on the same ...
Página 83
Q.E.D. PROPOSITION 11. THEOREM . If two circles touch one another internally , the straight line which joins their centres , being produced , shall pass through the point of contact . Let the two circles ABC , ADE touch one another ...
Q.E.D. PROPOSITION 11. THEOREM . If two circles touch one another internally , the straight line which joins their centres , being produced , shall pass through the point of contact . Let the two circles ABC , ADE touch one another ...
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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