The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 25.
Σελίδα 22
23 ) the angle da e equal to the angle adc ; and produce the straight line b d Because the straight line a d , which meets the two straight lines b c , ef , makes the alternate angles e a d , ad c equal to one another , ef is parallel ...
23 ) the angle da e equal to the angle adc ; and produce the straight line b d Because the straight line a d , which meets the two straight lines b c , ef , makes the alternate angles e a d , ad c equal to one another , ef is parallel ...
Σελίδα 23
Join bc ; and because a b is parallel to a b cd , and b c meets them , the alternate angles abc , bcd are equal ( i . 29 ) ; and because a b is equal to cd , and b c common to the two triangles a b c , dcb , the two sides a b , bc , are ...
Join bc ; and because a b is parallel to a b cd , and b c meets them , the alternate angles abc , bcd are equal ( i . 29 ) ; and because a b is equal to cd , and b c common to the two triangles a b c , dcb , the two sides a b , bc , are ...
Σελίδα 24
Because a b is parallel to cd , and b c meets them , the alternate angles abc , bcd are equal ( i . 29 ) to one another ; а . b and because a c is parallel to bd , and b c meets them , the alternate angles a cb , cbd , are equal ( i .
Because a b is parallel to cd , and b c meets them , the alternate angles abc , bcd are equal ( i . 29 ) to one another ; а . b and because a c is parallel to bd , and b c meets them , the alternate angles a cb , cbd , are equal ( i .
Σελίδα 29
29 ) to two right angles ; wherefore the an2 a 1 gles bhf , hfe , are less than two right angles . But straight lines which with another straight line make the interior angles upon the same side less than two right angles , do meet ( 12 ...
29 ) to two right angles ; wherefore the an2 a 1 gles bhf , hfe , are less than two right angles . But straight lines which with another straight line make the interior angles upon the same side less than two right angles , do meet ( 12 ...
Σελίδα 30
produced ; let them meet in k , and through k draw kl , parallel to e a or fh , and produce ha , gb to the points 1 , m : then hlkf is a parallelogram , of which the diameter is hk , and ag , me are the parallelograms about hk ; and lb ...
produced ; let them meet in k , and through k draw kl , parallel to e a or fh , and produce ha , gb to the points 1 , m : then hlkf is a parallelogram , of which the diameter is hk , and ag , me are the parallelograms about hk ; and lb ...
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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