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 42
... diameter AC divides it into two equal parts ; wherefore ABCD is also double of 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 ...
... diameter AC divides it into two equal parts ; wherefore ABCD is also double of 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 ...
Side 43
... diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about AC , that is , through which AC passes , and BK , KD the other parallelograms ...
... diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about AC , that is , through which AC passes , and BK , KD the other parallelograms ...
Side 52
... & c . Q. E. D. COR . From the demonstration it is manifest , that the paral- lelograms about the diameter of a square are likewise squares . PROP . V. THEOR . Ir a straight line be 52 BOOK II . THE ELEMENTS OF EUCLID .
... & c . Q. E. D. COR . From the demonstration it is manifest , that the paral- lelograms about the diameter of a square are likewise squares . PROP . V. THEOR . Ir a straight line be 52 BOOK II . THE ELEMENTS OF EUCLID .
Side 65
... diameters are equal , or from the centres of which the straight lines to the circumfer- ences are equal . This is not a definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so ...
... diameters are equal , or from the centres of which the straight lines to the circumfer- ences are equal . This is not a definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so ...
Side 71
... diameter of a circle , which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any ...
... diameter of a circle , which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any ...
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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