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Side vii
It has been deemed essential that Problems , though kept distinct from Theorems
, should nevertheless occupy the attention of the beginner as soon as possible ,
and also that the necessity of his having to wade through a long book of ...
It has been deemed essential that Problems , though kept distinct from Theorems
, should nevertheless occupy the attention of the beginner as soon as possible ,
and also that the necessity of his having to wade through a long book of ...
Side viii
The principle of superposition has been made use of whenever possible , as
affording the most convincing proof of equality of geometrical magnitudes . With a
view to facilitating the student ' s progress it has been arranged that , as a rule ...
The principle of superposition has been made use of whenever possible , as
affording the most convincing proof of equality of geometrical magnitudes . With a
view to facilitating the student ' s progress it has been arranged that , as a rule ...
Side xvi
For definitions , see p . 86 . 107 , , 6 , for divides read divide . , 129 , , 1 , add if
possible , let them bisect each other ; , 131 , , 13 , omit to it . » 201 . In the diagram
the diagonal of 0 FB is AC . same xvi.
For definitions , see p . 86 . 107 , , 6 , for divides read divide . , 129 , , 1 , add if
possible , let them bisect each other ; , 131 , , 13 , omit to it . » 201 . In the diagram
the diagonal of 0 FB is AC . same xvi.
Side 3
For if not , if possible let them fall otherwise as AOB , POQ having a common
point 0 , P Then AOB might be turned about one extremity A towards the side on
which OQ is , so as to cut OQ and also OP . Thus two straight lines would enclose
a ...
For if not , if possible let them fall otherwise as AOB , POQ having a common
point 0 , P Then AOB might be turned about one extremity A towards the side on
which OQ is , so as to cut OQ and also OP . Thus two straight lines would enclose
a ...
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 .
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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...
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