The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 29
Then because GB is equal to DE , [ Construction . and BC to EF ; [ Hypothesis . the two sides GB , BC are equal to the two sides DE , EF , each to each ; and the angle GBC is equal to the anglo DEF ; [ Hypothesis . therefore the ...
Then because GB is equal to DE , [ Construction . and BC to EF ; [ Hypothesis . the two sides GB , BC are equal to the two sides DE , EF , each to each ; and the angle GBC is equal to the anglo DEF ; [ Hypothesis . therefore the ...
Página 30
HC E Then because BH is equal to EF , [ Construction and AB to DE ; [ Hypothesis . the two sides AB , BH are equal to the two sides DE , EF , cach to each ; and the anglo ABH is equal to the angle DEF ; [ Hypothesis . therefore the ...
HC E Then because BH is equal to EF , [ Construction and AB to DE ; [ Hypothesis . the two sides AB , BH are equal to the two sides DE , EF , cach to each ; and the anglo ABH is equal to the angle DEF ; [ Hypothesis . therefore the ...
Página 171
For , because BG is to Cas EH [ Hypothesis . G therefore , by inversion , C is to BG as Fis to EH . H Aud because AB is to C as DE is to ( Hypothesis . B and C is to BG as Fis to EH ; S } therefore , ex æquali , AB is to BG as DE is to ...
For , because BG is to Cas EH [ Hypothesis . G therefore , by inversion , C is to BG as Fis to EH . H Aud because AB is to C as DE is to ( Hypothesis . B and C is to BG as Fis to EH ; S } therefore , ex æquali , AB is to BG as DE is to ...
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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