The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 70
Therefore the whole angle BAD is equal ( I. Ax . 2 ) to the whole angle B ED . Wherefore the angles in the same segment , & c . Q. E. D. B Corollary . The vertices of any number of equal angles , whose legs all pass through the same two ...
Therefore the whole angle BAD is equal ( I. Ax . 2 ) to the whole angle B ED . Wherefore the angles in the same segment , & c . Q. E. D. B Corollary . The vertices of any number of equal angles , whose legs all pass through the same two ...
Σελίδα 138
Therefore the triangle GBH is equiangular to the triangle F D E. Because the angle AGB is equal to the angle CFD , and the angle BGH to the angle DFE . There- fore the whole angle A G H is equal to the whole angle CFE ( I. Ax . 2 ) .
Therefore the triangle GBH is equiangular to the triangle F D E. Because the angle AGB is equal to the angle CFD , and the angle BGH to the angle DFE . There- fore the whole angle A G H is equal to the whole angle CFE ( I. Ax . 2 ) .
Σελίδα 194
Wherefore the whole pyramid A BCD is divided into two equal tri- angular pyramids similar to one another and to the whole pyramid ; and into two equal prisms which are together greater than half of the whole pyramid .
Wherefore the whole pyramid A BCD is divided into two equal tri- angular pyramids similar to one another and to the whole pyramid ; and into two equal prisms which are together greater than half of the whole pyramid .
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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