The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 28
... figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F , within the figure to each of its angles . And , by the preceding ...
... figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F , within the figure to each of its angles . And , by the preceding ...
Page 29
... figure , of which the oppo- site sides are parallel : and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter : the opposite sides and angles of the figure shall ...
... figure , of which the oppo- site sides are parallel : and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter : the opposite sides and angles of the figure shall ...
Page 32
... figures EBCA , DBCF is at parallelogram : and EBCA is equal to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelogram EBCA , because the dia- meter ...
... figures EBCA , DBCF is at parallelogram : and EBCA is equal to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelogram EBCA , because the dia- meter ...
Page 35
... figure ABCD , which are therefore called the complements , BK shall be equal to the complement KD . BG K F The complement * Because ABCD is a parallelogram , and AC its diameter , the triangle ABC is equal to the triangle * 34. 1 . ADC ...
... figure ABCD , which are therefore called the complements , BK shall be equal to the complement KD . BG K F The complement * Because ABCD is a parallelogram , and AC its diameter , the triangle ABC is equal to the triangle * 34. 1 . ADC ...
Page 37
... 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 , having the angle FKM equal to the given angle E. Which was to be done ...
... 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 , having the angle FKM equal to the given angle E. Which was to be done ...
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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