The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... figure contained by a diameter and the part of the circumference cut off by the diameter . XIX . " A segment of a circle is the figure contained by a " straight line , and the circumference it cuts off . " XX . Rectilineal figures are ...
... figure contained by a diameter and the part of the circumference cut off by the diameter . XIX . " A segment of a circle is the figure contained by a " straight line , and the circumference it cuts off . " XX . Rectilineal figures are ...
Page 28
... rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing ...
... rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing ...
Page 35
... figure ABCD , which are therefore called the complements , BK shall be equal to the complement KD . BG K F The ... rectilineal angle . Let AB be the given straight line , and C the given triangle , and D the given rectilineal angle . It ...
... figure ABCD , which are therefore called the complements , BK shall be equal to the complement KD . BG K F The ... rectilineal angle . Let AB be the given straight line , and C the given triangle , and D the given rectilineal angle . It ...
Page 36
... rectilineal figure , and having an angle equal to a given rectilineal angle . 1 Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an ...
... rectilineal figure , and having an angle equal to a given rectilineal angle . 1 Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an ...
Page 37
... triangle DBC to the parallelogram GM ; the + Constr . whole rectilineal figure ABCD is equal † to the whole +2 Ax . parallelogram KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD ...
... triangle DBC to the parallelogram GM ; the + Constr . whole rectilineal figure ABCD is equal † to the whole +2 Ax . parallelogram KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD ...
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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