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Side 15
... an angle = one of its adjacent angles it is also = the other , . . if one straight line
is 1 to another , the latter is 1 to the former . Thus each of the arms of a right 2 is 1
to the other . PROPOSITION VII . It is always possible to draw a RIGHT ANGLES .
... an angle = one of its adjacent angles it is also = the other , . . if one straight line
is 1 to another , the latter is 1 to the former . Thus each of the arms of a right 2 is 1
to the other . PROPOSITION VII . It is always possible to draw a RIGHT ANGLES .
Side 16
It is always possible to draw a straight line perpendicular to a given straight line
from a given point in the same . - - - - - - - - - - - - Let BC be the given straight line ,
and A the given point in it . Then from A a straight line can be drawn i BC .
It is always possible to draw a straight line perpendicular to a given straight line
from a given point in the same . - - - - - - - - - - - - Let BC be the given straight line ,
and A the given point in it . Then from A a straight line can be drawn i BC .
Side 18
But if not , through B draw BEI to CD ; then the - ABC is = the s CBE and EBA
together ; . . the ZS ABC and ABD are together = the z s CBE , EBA and ABD ; . of
which CBE is a right 2 , and EBA , ABD make up a right 2 ; . : LS ABC , ABD are ...
But if not , through B draw BEI to CD ; then the - ABC is = the s CBE and EBA
together ; . . the ZS ABC and ABD are together = the z s CBE , EBA and ABD ; . of
which CBE is a right 2 , and EBA , ABD make up a right 2 ; . : LS ABC , ABD are ...
Side 19
9 ) and are . : . = LS ABC , ABD ; ( hyp . ) . : LABE is = 1 ABD , which is impossible
. . : , no other straight line than BD is in the same straight line with BC ; . . BD is in
the same straight line with BC . PROPOSITION XI . It is always possible to draw ...
9 ) and are . : . = LS ABC , ABD ; ( hyp . ) . : LABE is = 1 ABD , which is impossible
. . : , no other straight line than BD is in the same straight line with BC ; . . BD is in
the same straight line with BC . PROPOSITION XI . It is always possible to draw ...
Side 20
It is always possible to draw a perpendicular to a given straight line of an
unlimited length from a given point without it . Let A be any point without the
straight line BC of unlimited length . Then from A a straight line can be drawn I to
BC .
It is always possible to draw a perpendicular to a given straight line of an
unlimited length from a given point without it . Let A be any point without the
straight line BC of unlimited length . Then from A a straight line can be drawn I to
BC .
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base bisect Cambridge centre chapter chord circle circumference cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole
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