The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 6
For , if the triangle a bc be applied to def , so that the point a may be on d , and the straight line ab upon de ; the point b shall coincide with the point e , because a b is equal to de ; and a b coinciding with de , a c shall ...
For , if the triangle a bc be applied to def , so that the point a may be on d , and the straight line ab upon de ; the point b shall coincide with the point e , because a b is equal to de ; and a b coinciding with de , a c shall ...
Σελίδα 9
For , if the triangle a b c be applied to def , so that the point b be on e , and the straight line bc upon ef ; the point c shall also coincide with the point f , beb се f cause bc is equal to ef . Therefore bc coinciding with ef ...
For , if the triangle a b c be applied to def , so that the point b be on e , and the straight line bc upon ef ; the point c shall also coincide with the point f , beb се f cause bc is equal to ef . Therefore bc coinciding with ef ...
Σελίδα 30
Therefore the parallelogram lb is applied to the straight line a b , is equal to the triangle c , and has the angle a bm equal to the angle d . Which was to be done . a PROPOSITION XLV.- PROBLEM . To describe a parallelogram equal to a ...
Therefore the parallelogram lb is applied to the straight line a b , is equal to the triangle c , and has the angle a bm equal to the angle d . Which was to be done . a PROPOSITION XLV.- PROBLEM . To describe a parallelogram equal to a ...
Σελίδα 31
From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i .
From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i .
Σελίδα 47
This is not a definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the straight lines from the centres ...
This is not a definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the straight lines from the centres ...
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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