The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 59.
Σελίδα 6
If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and ...
If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and ...
Σελίδα 7
Because a f is equal to ag , and a b to a c , the two sides fa , a c are equal to the two ga , a b , each to each ; and they contain the angle fag common to the two triangles afc , ag b ; therefore the base fc is equal ( i .
Because a f is equal to ag , and a b to a c , the two sides fa , a c are equal to the two ga , a b , each to each ; and they contain the angle fag common to the two triangles afc , ag b ; therefore the base fc is equal ( i .
Σελίδα 8
Upon the same base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other ...
Upon the same base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other ...
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 .
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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