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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Side 9
... 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 angle B ABC to the angle DEF , and ...
... 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 angle B ABC to the angle DEF , and ...
Side 10
... 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 3. 1. AG equal to AF , the less ... ABC be a triangle having the angle ABC equal 10 THE ELEMENTS.
... 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 3. 1. AG equal to AF , the less ... ABC be a triangle having the angle ABC equal 10 THE ELEMENTS.
Side 11
... ABC be a triangle having the angle ABC equal to the Boox 1 . angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal to AC , one of them is greater than D A a the other : Let AB be the greater ; and from it cut ...
... ABC be a triangle having the angle ABC equal to the Boox 1 . angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal to AC , one of them is greater than D A a the other : Let AB be the greater ; and from it cut ...
Side 12
... 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 16
... angle CBA be equal to ABD , each of them is a A E D- B D B a Def . 10. right angle ; but , if not , from the point B ... 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 E D- B D B a Def . 10. right angle ; but , if not , from the point B ... ABC , therefore the angles DBA , ABC are equal to the three angles DBE , EBA , ABC , but the angles CBE , EBD have ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter 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 logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid 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 tiple triangle ABC triplicate ratio vertex