The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 41.
Σελίδα 5
the circle d e f ; a e shall be equal to C. Because f a is the centre of the circle d ef , a e is equal to ad ; but the straight line c is likewise equal с to ad ; whence ae and care each of them equal to ad ; therefore the straight a e ...
the circle d e f ; a e shall be equal to C. Because f a is the centre of the circle d ef , a e is equal to ad ; but the straight line c is likewise equal с to ad ; whence ae and care each of them equal to ad ; therefore the straight a e ...
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 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
... there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ( i .
... there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ( i .
Σελίδα 12
13 ) to two right angles ; but the angles a b c , a b d are likewise together equal to two right angles ; therefore the angles cba , a be are equal to the angles cba , abd : take away the common angle cba , the remaining angle a be is ...
13 ) to two right angles ; but the angles a b c , a b d are likewise together equal to two right angles ; therefore the angles cba , a be are equal to the angles cba , abd : take away the common angle cba , the remaining angle a be is ...
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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