The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 34
... given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallel- ogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ...
... given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallel- ogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ...
Page 35
... given triangle , and have one of its angles equal to a given rectilineal angle . Let AB be the given straight line , and C the given triangle , and D the given rectilineal angle . It is required to apply to the straight line AB a ...
... given triangle , and have one of its angles equal to a given rectilineal angle . Let AB be the given straight line , and C the given triangle , and D the given rectilineal angle . It is required to apply to the straight line AB a ...
Page 37
... angle HGL : therefore the angles MHG , HGL , are equal to the angles +2 Ax . HGF , HGL : but the angles MHG , HGL ... given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this ...
... angle HGL : therefore the angles MHG , HGL , are equal to the angles +2 Ax . HGF , HGL : but the angles MHG , HGL ... given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this ...
Page 68
... angle ACD : but DAC is a right angle ; there- fore ACD is a right angle ; and therefore the angles DAC , ACD are ... given point , either with- out or in the circumference , which shall touch a given circle . First , let A be a given ...
... angle ACD : but DAC is a right angle ; there- fore ACD is a right angle ; and therefore the angles DAC , ACD are ... given point , either with- out or in the circumference , which shall touch a given circle . First , let A be a given ...
Page 77
... angles ; therefore the base BC is equal to the base EF . Therefore , in equal circles , * 4.1 . & c . Q. E. D. * PROP . XXX . PROB . To bisect a given circumference , that is , to divide it into two equal parts . Let ADB be the given ...
... angles ; therefore the base BC is equal to the base EF . Therefore , in equal circles , * 4.1 . & c . Q. E. D. * PROP . XXX . PROB . To bisect a given circumference , that is , to divide it into two equal parts . Let ADB be the given ...
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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