The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 29
A parallelogram is a four - sided figure of which the opposite sides are parallel ; and the diagonal is the straight line joining the vertices of two opposite angles . PROP . XXXIV . THEOREM . The opposite sides and angles of a ...
A parallelogram is a four - sided figure of which the opposite sides are parallel ; and the diagonal is the straight line joining the vertices of two opposite angles . PROP . XXXIV . THEOREM . The opposite sides and angles of a ...
Σελίδα 32
The parallelograms EC , BF , are equal ( I. 35 ) , because they are upon the same base W BC , and between the same parallels BC , E F. The triangle ABC is half of the parallelogram EC ( I. 34 ) , because the diagonal A B bisects it .
The parallelograms EC , BF , are equal ( I. 35 ) , because they are upon the same base W BC , and between the same parallels BC , E F. The triangle ABC is half of the parallelogram EC ( I. 34 ) , because the diagonal A B bisects it .
Σελίδα 35
The complements of the parallelograms , which are about the diagonal of any parallelogram , are equal . Let BD be a parallelogram , of which the diagonal is AC ; and EH , GF the parallelograms about A C , that is , through which AC ...
The complements of the parallelograms , which are about the diagonal of any parallelogram , are equal . Let BD be a parallelogram , of which the diagonal is AC ; and EH , GF the parallelograms about A C , that is , through which AC ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole