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Side vii
At the latter part of the Third Book a section has been added on the equal
subdivision of the circumference of a circle , thus preparing the way for a more
general consideration of the subject of regular polygons . In the Fourth Book the
areas ...
At the latter part of the Third Book a section has been added on the equal
subdivision of the circumference of a circle , thus preparing the way for a more
general consideration of the subject of regular polygons . In the Fourth Book the
areas ...
Side xv
PRELIMINARY NOTICES . The following symbols will be used simply in lieu of
the words to which they are here prefixed . z angle . A triangle . O parallelogram .
o circle . Oce circumference . I perpendicular ( to ) . ! ! parallel . + together with .
PRELIMINARY NOTICES . The following symbols will be used simply in lieu of
the words to which they are here prefixed . z angle . A triangle . O parallelogram .
o circle . Oce circumference . I perpendicular ( to ) . ! ! parallel . + together with .
Side 10
A circle is a plane figure contained by one line called the circumference , and is
such that all straight lines drawn from a certain point within the figure to the
circumference are equal . That point is called the centre of the circle , and those
straight ...
A circle is a plane figure contained by one line called the circumference , and is
such that all straight lines drawn from a certain point within the figure to the
circumference are equal . That point is called the centre of the circle , and those
straight ...
Side 95
CHORDS . DEFINITION . The straight line joining any two points in the
circumference of a circle is called a chord of the circle . PROPOSITION I . The
straight line joining any two points in the circumference of a circle lies entirely
within the circle ...
CHORDS . DEFINITION . The straight line joining any two points in the
circumference of a circle is called a chord of the circle . PROPOSITION I . The
straight line joining any two points in the circumference of a circle lies entirely
within the circle ...
Side 97
If from a point within a circle there be drawn to the circumference more than two
equal straight lines , that point is the centre of the circle . Let S be a point within
the OPOR , from which are drawn to the circumference the equal straight lines SP
...
If from a point within a circle there be drawn to the circumference more than two
equal straight lines , that point is the centre of the circle . Let S be a point within
the OPOR , from which are drawn to the circumference the equal straight lines SP
...
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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.