The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 16
Because DC is equal to CE , [ Construction . and CF is common to the two
triangles DCF , ECF ; the two sides DC , CF are equal to the two sides ÉC , CF ,
each to each ; and the base DF is equal to the base EF ; [ Definition 24 . therefore
the ...
Because DC is equal to CE , [ Construction . and CF is common to the two
triangles DCF , ECF ; the two sides DC , CF are equal to the two sides ÉC , CF ,
each to each ; and the base DF is equal to the base EF ; [ Definition 24 . therefore
the ...
Side 240
B A Let the two planes BA , BC be each of them perpendicular to a third plane ,
and let B D be the common section of the planes BA , BC : BD shall be
perpendicular to the third plane . For , if not , from the point D , draw in the plane
BA , the ...
B A Let the two planes BA , BC be each of them perpendicular to a third plane ,
and let B D be the common section of the planes BA , BC : BD shall be
perpendicular to the third plane . For , if not , from the point D , draw in the plane
BA , the ...
Side 271
Two circles are said to touch internally when their circumferences have one or
more common points , and when every point in one circle is within the other circle
, except the common point or points . Two circles are said to touch externally ...
Two circles are said to touch internally when their circumferences have one or
more common points , and when every point in one circle is within the other circle
, except the common point or points . Two circles are said to touch externally ...
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ABCD AC is equal angle ABC angle ACB angle BAC Axiom base 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 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 square square on AC straight line &c suppose Take taken THEOREM third triangle ABC Wherefore whole