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 10
... likewise is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary . This I have endea- voured to do , by taking away the inaccurate and false rea- sonings which unskilful editors have ...
... likewise is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary . This I have endea- voured to do , by taking away the inaccurate and false rea- sonings which unskilful editors have ...
Side 14
... likewise the 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 angles shall be equal , each to each , viz ...
... likewise the 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 angles shall be equal , each to each , viz ...
Side 15
... likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which ...
... likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which ...
Side 17
... likewise those which are terminated in the other extremity . * If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in the ...
... likewise those which are terminated in the other extremity . * If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in the ...
Side 18
... likewise those which are terminated in the other extremity . Q. E. D. PROP . VIII . THEOR . 1 If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle ...
... likewise those which are terminated in the other extremity . Q. E. D. PROP . VIII . THEOR . 1 If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle ...
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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