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Book the Six
Prop I TheorTriangles and parallelograms of
the same altitude are to one
another as their bases —
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Prop VII Theor --If two triangles have one angle of the one equal to
one angle of the other, and the sides about two other
angles proportionals: then if each of the
remaining angles be either less or not less
than a right angle, or if one of them be a
right angle the triangle shall be equiangular
and have those angles equal about which the
sides are proportionals.
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Prop XIV Theor -Equal parallelograms which have
one angle of the one equal to one angle
of the other, have their Sides about the
equal angles reciprocally proportional,
and parallelograms that have one angle
of the one equal to one of the other
and their sides about their equal angle
reciprocally proportional, are equal to
one another.
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Prop XXI Theor.Rectilineal figures which are
similar to the same rectilineal
figure, are also similar to one
another.
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Prop XXVIII Prob --To a given straight line to apply a
parallelogram equal to a given rectilineal
figure and deficient by a parallelogram
similar to a given parallelogram but the
given rectilineal figure to which the
parallelogram to be applied is to be equal
must not be greater than the parallelogram
applied to half of the given line,
having its defect similar to the defect of
that which is to be applied: that is to
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the given parallelogram —
Prop C Theor. If from an angle of
a triangle a strait line be drawn
perpendicular to the base: the rectangle
contained by the sides of the triangle is
equal to the rectangle contained by
the perpendicular and the diameter
of the circle described about the
triangle.
Identifier: | JB/135/072/005"JB/" can not be assigned to a declared number type with value 135. |
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072 |
the propositions of the fifth and sixth books of euclid as expressed by simson those written with red ink are added by himself |
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private material |
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recto |
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sir samuel bentham |
[[watermarks::[tall thin motif with prince of wales feathers] icv]] |
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