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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 35
... given straight line BC . Which was to be done . PROP . XXXII . THEOR . Ir a side of any triangle be produced , the exterior angle ... angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles of the ...
... given straight line BC . Which was to be done . PROP . XXXII . THEOR . Ir a side of any triangle be produced , the exterior angle ... angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles of the ...
Side 42
... triangle EBC . Therefore , if a pa- rallelogram , & c . Q. E. D. B C PROP . XLII . PROB . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the ...
... triangle EBC . Therefore , if a pa- rallelogram , & c . Q. E. D. B C PROP . XLII . PROB . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the ...
Side 43
... given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . PROP . XLIII . THEOR . THE complements of the parallelograms which are about the diameter of any parallelogram , are equal to one ...
... given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . PROP . XLIII . THEOR . THE complements of the parallelograms which are about the diameter of any parallelogram , are equal to one ...
Side 44
... angle EBG equal to the angle D , so that BE be in C F. E K D M G B the same straight line with AB , and produce FG ... given rectilineal figure , and having an angle equal to a given rectilineal angle . * Let ABCD be the given ...
... angle EBG equal to the angle D , so that BE be in C F. E K D M G B the same straight line with AB , and produce FG ... given rectilineal figure , and having an angle equal to a given rectilineal angle . * Let ABCD be the given ...
Side 45
... angle HKF equal to the angle E ; and to the straight line GH apply ( 44. 1. ) the parallelogram GM equal to the ... given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this ...
... angle HKF equal to the angle E ; and to the straight line GH apply ( 44. 1. ) the parallelogram GM equal to the ... given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this ...
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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 ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment 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