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 11
... XXXIII . A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four sided figures besides these , 10 BOOK I. THE ELEMENTS OF EUCLID .
... XXXIII . A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four sided figures besides these , 10 BOOK I. THE ELEMENTS OF EUCLID .
Side 15
... opposite , shall be equal each to each , viz . the R angle ABC to the angle DEF , and the angle ACB to DFE . B CE D F For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB upon DE ; the ...
... opposite , shall be equal each to each , viz . the R angle ABC to the angle DEF , and the angle ACB to DFE . B CE D F For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB upon DE ; the ...
Side 16
... opposite ; viz . the angle ACF to the angle ABG , and the angle AFC to the angle AGB ; and because the whole AF is equal to the whole AG , of which the parts AB , AC , are equal : the remainder D BF shall be equal ( 3. Ax . ) to the ...
... opposite ; viz . the angle ACF to the angle ABG , and the angle AFC to the angle AGB ; and because the whole AF is equal to the whole AG , of which the parts AB , AC , are equal : the remainder D BF shall be equal ( 3. Ax . ) to the ...
Side 23
... opposite angles shall be equal . Let the two straight lines AB , CD cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and CEB to AED . A E B D Because the straight line AE makes with CD the angles CEA ...
... opposite angles shall be equal . Let the two straight lines AB , CD cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and CEB to AED . A E B D Because the straight line AE makes with CD the angles CEA ...
Side 24
... opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the interior op- posite angles CBA , BAC . join Bisect ( 10. 1. ) AC in BE and produce it to F , and make ...
... opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the interior op- posite angles CBA , BAC . join Bisect ( 10. 1. ) AC in BE and produce it to F , and make ...
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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