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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
PROPOSITION X . If two straight lines , drawn from one extremity of a straight line
on opposite sides of it , make the adjacent angles together equal to two right
angles , these two straight lines shall be in one and the same straight line . o Let
BC ...
PROPOSITION X . If two straight lines , drawn from one extremity of a straight line
on opposite sides of it , make the adjacent angles together equal to two right
angles , these two straight lines shall be in one and the same straight line . o Let
BC ...
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 .
Side 21
There cannot be drawn more than one perpendicular to a given straight line from
a given point without it . Let A be the given point , and BC the given straight line ;
and let AQ be drawn from Alto BC . ( 1 . 10 ) Then no other straight line besides ...
There cannot be drawn more than one perpendicular to a given straight line from
a given point without it . Let A be the given point , and BC the given straight line ;
and let AQ be drawn from Alto BC . ( 1 . 10 ) Then no other straight line besides ...
Side 26
Let two points A , B be joined by a path which is as short as any which can be
drawn between them . Then wery point in this path shall lie in the straight line AB
. For if not , if possible , let a point Q in the path be without AB . Join AQ , BQ .
Let two points A , B be joined by a path which is as short as any which can be
drawn between them . Then wery point in this path shall lie in the straight line AB
. For if not , if possible , let a point Q in the path be without AB . Join AQ , BQ .
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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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Side 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 31 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.