The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page vi
... contained by no more than three plane angles ; for in other cases , two solid figures may be contained by similar planes of the same number and magnitude , and yet be unequal to one another , as shall be made evident in the Notes ...
... contained by no more than three plane angles ; for in other cases , two solid figures may be contained by similar planes of the same number and magnitude , and yet be unequal to one another , as shall be made evident in the Notes ...
Page 2
... contained by AB , DB , is named the an- gle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but , if there be only one angle at a point , it may be expressed ' by a letter placed at that point ...
... contained by AB , DB , is named the an- gle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but , if there be only one angle at a point , it may be expressed ' by a letter placed at that point ...
Page 3
... contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain ... contained by a diameter and the part of the circumference cut off by the diameter . XIX . " A segment of a circle is ...
... contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain ... contained by a diameter and the part of the circumference cut off by the diameter . XIX . " A segment of a circle is ...
Page 8
... contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . those to which the equal ...
... contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . those to which the equal ...
Page 9
... contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be ... contain the angle FAG common to Hyp . * 4 . 1 . * 3 Ax . * BOOK I. PROP . IV . V. 9.
... contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be ... contain the angle FAG common to Hyp . * 4 . 1 . * 3 Ax . * BOOK I. PROP . IV . V. 9.
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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