The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 34.
Σελίδα 29
But the whole triangle a b c is equal to the whole a dc ; therefore the remaining complement bk is equal ... which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle .
But the whole triangle a b c is equal to the whole a dc ; therefore the remaining complement bk is equal ... which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle .
Σελίδα 34
If a triangle have its exterior angle and one of its opposite interior angles double of those in another triangle , its remaining opposite interior angle is also double of the corresponding angle in the other . 18.
If a triangle have its exterior angle and one of its opposite interior angles double of those in another triangle , its remaining opposite interior angle is also double of the corresponding angle in the other . 18.
Σελίδα 41
For the same reason , each of the angles ceb , e bcis half a right angle ; and therefore the whole a e b is a right ... 29 ) to the interior and opposite angle e cb , the remaining angle efg is half a right angle ; therefore the angle ...
For the same reason , each of the angles ceb , e bcis half a right angle ; and therefore the whole a e b is a right ... 29 ) to the interior and opposite angle e cb , the remaining angle efg is half a right angle ; therefore the angle ...
Σελίδα 42
5 ) to the angle eac ; and the angle ace is a right angle ; therefore each of the angles cea , ea c is half a right ... 29 ) to the alternate angle dce ; therefore the remaining angle dg bis half a right angle , and is therefore equal ...
5 ) to the angle eac ; and the angle ace is a right angle ; therefore each of the angles cea , ea c is half a right ... 29 ) to the alternate angle dce ; therefore the remaining angle dg bis half a right angle , and is therefore equal ...
Σελίδα 43
... because the angle ea b is a right angle ; therefore the rectangle cf , fa , together with the square of a e , is equal to 8 the squares of ba , ae : take away the square of a e , which is common to both , therefore the remaining ...
... because the angle ea b is a right angle ; therefore the rectangle cf , fa , together with the square of a e , is equal to 8 the squares of ba , ae : take away the square of a e , which is common to both , therefore the remaining ...
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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