The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 134
... the whole is to the greater segment , as the greater segment is to the less . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . PROP . I. THEOR . Triangles and parallelograms of the.
... the whole is to the greater segment , as the greater segment is to the less . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . PROP . I. THEOR . Triangles and parallelograms of the.
Page 135
... altitude are one See N. to another as their bases . BC = CD . ( JP . , A4 cofth Let the triangles ABC , ACD , and the parallelograms EC , CF , have the same altitude , viz . the perpendicular drawn from the point A to BD : as the base ...
... altitude are one See N. to another as their bases . BC = CD . ( JP . , A4 cofth Let the triangles ABC , ACD , and the parallelograms EC , CF , have the same altitude , viz . the perpendicular drawn from the point A to BD : as the base ...
Page 136
... altitudes are one to another as their bases . Let the figures be placed so as to have their bases in the same straight line ; and having drawn perpendi- culars from the vertices of the triangles to the bases , the straight line which ...
... altitudes are one to another as their bases . Let the figures be placed so as to have their bases in the same straight line ; and having drawn perpendi- culars from the vertices of the triangles to the bases , the straight line which ...
Page 202
... altitude , the insisting straight lines of which are terminated in the same straight lines in the plane opposite to the base , are equal to one another . Let the solid parallelopipeds , AH , AK , be upon the same base AB , and of the ...
... altitude , the insisting straight lines of which are terminated in the same straight lines in the plane opposite to the base , are equal to one another . Let the solid parallelopipeds , AH , AK , be upon the same base AB , and of the ...
Page 203
... altitude , the insisting straight lines of which are not terminated in the same straight lines in the plane op- posite to the base , are equal to one another . ン + Hyp . * 29.11 . * 29.11 . BOOK XI . PROP . XXX . 203.
... altitude , the insisting straight lines of which are not terminated in the same straight lines in the plane op- posite to the base , are equal to one another . ン + Hyp . * 29.11 . * 29.11 . BOOK XI . PROP . XXX . 203.
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore