The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 64.
Σελίδα 2
An acute angle is that which is less than a right angle . Obtuse . Acute . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure ...
An acute angle is that which is less than a right angle . Obtuse . Acute . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure ...
Σελίδα 4
... interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles .
... interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles .
Σελίδα 5
PROBLEM , From the greater of two given straight lines to cut off a part equal to the less , LET ab and c be the two given straight lines , d whereof a b is the greater . It is required to a cut off from a b , the greater , a part equal ...
PROBLEM , From the greater of two given straight lines to cut off a part equal to the less , LET ab and c be the two given straight lines , d whereof a b is the greater . It is required to a cut off from a b , the greater , a part equal ...
Σελίδα 6
to c , and from a b , the greater of two straight lines , a part a e has been cut off equal to c the less . Which was to be done . PROPOSITION IV . — THEOREM . If two triangles have two sides of the one equal to two sides of the other ...
to c , and from a b , the greater of two straight lines , a part a e has been cut off equal to c the less . Which was to be done . PROPOSITION IV . — THEOREM . If two triangles have two sides of the one equal to two sides of the other ...
Σελίδα 7
3 ) to a f , the less , and join fc , g b . 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 ...
3 ) to a f , the less , and join fc , g b . 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 ...
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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