The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 91.
Σελίδα 9
the two sides de , d f , each to each , viz . ab to d e , and a c to df ; and le also the base b c equal to the base e f . The angle bac is a d 8 equal to the angle ed f . For , if the triangle a b c be applied to def , so that the ...
the two sides de , d f , each to each , viz . ab to d e , and a c to df ; and le also the base b c equal to the base e f . The angle bac is a d 8 equal to the angle ed f . For , if the triangle a b c be applied to def , so that the ...
Σελίδα 10
Because a c is equal to cb , and cd common to the two triangles a cd , bcd ; the two sides a C , cd are equal to bc , cd , each to each ; and the angle acd is equal to the angle bcd ; therefore the base a d is equal to the base ( i .
Because a c is equal to cb , and cd common to the two triangles a cd , bcd ; the two sides a C , cd are equal to bc , cd , each to each ; and the angle acd is equal to the angle bcd ; therefore the base a d is equal to the base ( i .
Σελίδα 11
Take any point d upon the other side of a b , and from the centre c , at the distance cd , describe ( 3 post . ) ... Because fh is equal to hg , and hc common to the two triangles fh c , ghc , the two sides fh , h care equal to the two gh ...
Take any point d upon the other side of a b , and from the centre c , at the distance cd , describe ( 3 post . ) ... Because fh is equal to hg , and hc common to the two triangles fh c , ghc , the two sides fh , h care equal to the two gh ...
Σελίδα 12
If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line .
If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line .
Σελίδα 13
If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . ... and the remaining angles to the remaining angles , each to each , to which the equal sides are b d opposite ...
If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . ... and the remaining angles to the remaining angles , each to each , to which the equal sides are b d opposite ...
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a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole