The Elements of Euclid |
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Resultat 1-3 av 38
Side 44
Let A and BC be two straight lines ; and let BC be divided into any parts in the
points D , E ; the rectangle contained by the straight linzs A , BC is equal to
B D E C . the recta ; ígle contained by A , BD ; and to that contained by A , DE ;
and also ...
Let A and BC be two straight lines ; and let BC be divided into any parts in the
points D , E ; the rectangle contained by the straight linzs A , BC is equal to
B D E C . the recta ; ígle contained by A , BD ; and to that contained by A , DE ;
and also ...
Side 164
TF four straight lines be proportionals , the rectangle contained by the extremes is
equal to the rectangle contained by the means , and if the rectangle contained by
the extremes be equal to the rectangle contained by the means , the four ...
TF four straight lines be proportionals , the rectangle contained by the extremes is
equal to the rectangle contained by the means , and if the rectangle contained by
the extremes be equal to the rectangle contained by the means , the four ...
Side 165
THE O R . o TF three straight lines be proportionals , the rectangle . contained by
the extremes is equal to the square of the mean , and if the rectangle contained
by the extremes be equal to the square of the mean , the three straight lines are ...
THE O R . o TF three straight lines be proportionals , the rectangle . contained by
the extremes is equal to the square of the mean , and if the rectangle contained
by the extremes be equal to the square of the mean , the three straight lines are ...
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added alſo altitude angle ABC angle BAC baſe becauſe Book caſe circle circle ABCD circumference common cone cylinder Definition demonſtrated deſcribed diameter divided double draw drawn equal equal angles equiangular equimultiples exceſs fame fides firſt folid fore four fourth given angle given in poſition given in ſpecies given magnitude given ratio given ſtraight line greater Greek half join leſs likewiſe magnitude manner meet multiple muſt oppoſite parallel parallelogram perpendicular plane produced PROP proportionals Propoſition pyramid reaſon rectangle remaining right angles ſame ſecond ſegment ſhall ſhewn ſides ſimilar ſolid angle ſphere ſquare ſquare of AC taken theſe third thro triangle ABC wherefore whole