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 15
... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the R angle ABC to ...
... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the R angle ABC to ...
Side 16
... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB . Α Because AF is equal to AG , and AB to ...
... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB . Α Because AF is equal to AG , and AB to ...
Side 18
... angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF be two triangles , having the two sides AB , AC , equal to the two sides DE , DF ...
... angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them , of the other . Let ABC , DEF be two triangles , having the two sides AB , AC , equal to the two sides DE , DF ...
Side 22
... angle CBA be equal to ABD , each of them is a A D B C Ε D B A C right ( def . 10. ) angle ; but , if not , from the ... ABC ; therefore the angles DBA , ABC are equal to the three angles DBE , EBA , ABC ; but the angles CBE , EBD have ...
... angle CBA be equal to ABD , each of them is a A D B C Ε D B A C right ( def . 10. ) angle ; but , if not , from the ... ABC ; therefore the angles DBA , ABC are equal to the three angles DBE , EBA , ABC ; but the angles CBE , EBD have ...
Side 23
... ABC , ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : take away the common angle ABC , the remaining angle ABE is equal ( 3. Ax . ) to the re- maining angle ABD ...
... ABC , ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : take away the common angle ABC , the remaining angle ABE is equal ( 3. Ax . ) to the re- maining angle ABD ...
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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