The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 73.
Σελίδα 2
Thus the angle which is contained by the straight lines ab , cb , is named the angle a b c , or cba ; that which is contained by a b , db , is named the angle a bd , or dba ; and that which is contained by d b , c b , is called the ...
Thus the angle which is contained by the straight lines ab , cb , is named the angle a b c , or cba ; that which is contained by a b , db , is named the angle a bd , or dba ; and that which is contained by d b , c b , is called the ...
Σελίδα 4
ca , cb , to the points a , b ; abc shall be an equilateral triangle . Because the point a is the centre of the circle bed , ac is equal ( 15 def . ) to ab ; and because the point b is the centre 4 THE ELEMENTS OF EUCLID . Propositions.
ca , cb , to the points a , b ; abc shall be an equilateral triangle . Because the point a is the centre of the circle bed , ac is equal ( 15 def . ) to ab ; and because the point b is the centre 4 THE ELEMENTS OF EUCLID . Propositions.
Σελίδα 6
a b to de , and a c to df ; and the angle bac equal to the angle e df , the base b c shall be equal to the base ef ; and the triangle a b c to the triangle def ; and the other angles to which the equal b C e f sides are opposite , shall ...
a b to de , and a c to df ; and the angle bac equal to the angle e df , the base b c shall be equal to the base ef ; and the triangle a b c to the triangle def ; and the other angles to which the equal b C e f sides are opposite , shall ...
Σελίδα 7
... of a triangle be equal to one another , the sides which subtend , or are opposite to , the equal angles , shall also be equal to one another . LET a b c be a triangle having the angle a b c equal to the angle acb ; the side a b ...
... of a triangle be equal to one another , the sides which subtend , or are opposite to , the equal angles , shall also be equal to one another . LET a b c be a triangle having the angle a b c equal to the angle acb ; the side a b ...
Σελίδα 8
LET a b c , d ef be two triangles , having the two sides a b , a c , equal to the two sides de , d f , each to 8 THE ELEMENTS OF EUCLID .
LET a b c , d ef be two triangles , having the two sides a b , a c , equal to the two sides de , d f , each to 8 THE ELEMENTS OF EUCLID .
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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