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 296
... Greek copies , a more distinct one is given from a property of a plane superficies , which is manifestly supposed in the Elements , viz . that a straight line drawn from any point in a plane to any other in it is wholly in that plane ...
... Greek copies , a more distinct one is given from a property of a plane superficies , which is manifestly supposed in the Elements , viz . that a straight line drawn from any point in a plane to any other in it is wholly in that plane ...
Side 298
... Greek text , but it is as necessary as the other : and that the case left out has been formerly in the text , appears plainly from this , that the second part of prop . 5. which is necessary to the demonstration of this case , can be of ...
... Greek text , but it is as necessary as the other : and that the case left out has been formerly in the text , appears plainly from this , that the second part of prop . 5. which is necessary to the demonstration of this case , can be of ...
Side 305
... PROP . XIV . B. II . In the demonstration of this , some Greek editor has ignorant- ly inserted the words " but if not , one of the two BE , ED is the ૨૧ greater ; let BE be the greater , and produce BOOK I. 305 NOTES .
... PROP . XIV . B. II . In the demonstration of this , some Greek editor has ignorant- ly inserted the words " but if not , one of the two BE , ED is the ૨૧ greater ; let BE be the greater , and produce BOOK I. 305 NOTES .
Side 306
... Greek text would not have suited with this figure so well , because the centres of the circles must have been placed near to the circumferences ; on which account another construction and demonstration is given , which is the same with ...
... Greek text would not have suited with this figure so well , because the centres of the circles must have been placed near to the circumferences ; on which account another construction and demonstration is given , which is the same with ...
Side 307
... Greek nor the Latin trans- lation literally , but have given what is plainly the meaning of this proposition , without mentioning the angle of the semicircle , or that which some call the cornicular angle , which they con- ceive to be ...
... Greek nor the Latin trans- lation literally , but have given what is plainly the meaning of this proposition , without mentioning the angle of the semicircle , or that which some call the cornicular angle , which they con- ceive to be ...
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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