The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth : the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored : Also, The Book of Euclid's Data, in Like Manner CorrectedDesilver & Thomas, 1834 - 419 sider |
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Side 13
... angles 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 ... equal to the angle EDF ; BOOK I. 13 THE ELEMENTS OF EUCLID .
... angles 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 ... equal to the angle EDF ; BOOK I. 13 THE ELEMENTS OF EUCLID .
Side 14
... equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because the straight line AC ... angles of the one shall co- incide with the remaining angles of the other , and be equal to them , viz . the angle ABC ...
... equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because the straight line AC ... angles of the one shall co- incide with the remaining angles of the other , and be equal to them , viz . the angle ABC ...
Side 15
... equal sides , are opposite ; there- fore the angle FBC is equal to the angle GCB , and the angle BCF to the angle ... angles CBG , BCF are also equal ; the remaining angle ABC is therefore equal to the remaining angle ACB , which are the ...
... equal sides , are opposite ; there- fore the angle FBC is equal to the angle GCB , and the angle BCF to the angle ... angles CBG , BCF are also equal ; the remaining angle ABC is therefore equal to the remaining angle ACB , which are the ...
Side 16
... equal to AD , the angle ACD is equal ( 5. 1. ) to the angle ADC : but the angle ACD is greater than the angle BCD ... angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater ...
... equal to AD , the angle ACD is equal ( 5. 1. ) to the angle ADC : but the angle ACD is greater than the angle BCD ... angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater ...
Side 17
... equal to EF ; therefore BC coinciding with EF , BA and AC shall coincide with ED and DF ; for , if the base BC ... angles . Let BAC be the given rectilineal angle , it is required to bi- sect it . A Take any point D in AB , and from AC cut ( ...
... equal to EF ; therefore BC coinciding with EF , BA and AC shall coincide with ED and DF ; for , if the base BC ... angles . Let BAC be the given rectilineal angle , it is required to bi- sect it . A Take any point D in AB , and from AC cut ( ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone 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 point given ratio given straight line gnomon greater join less Let ABC multiple opposite parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore