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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Resultat 1-5 av 100
Side 8
... equal to DG , and DA , DB , parts of them , are equal ; f3 Ax . therefore the remainder AL is equal to the remainder BG : But it has been shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that ...
... equal to DG , and DA , DB , parts of them , are equal ; f3 Ax . therefore the remainder AL is equal to the remainder BG : But it has been shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that ...
Side 9
... 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 angle B ABC to the ...
... 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 angle B ABC to the ...
Side 10
... equal to AC , and let the straight lines AB , AC be produced to D and E , the 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 ...
... equal to AC , and let the straight lines AB , AC be produced to D and E , the 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 ...
Side 11
... 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 off DB a 3.1 . equal to AC , the less , and join DC ; there fore , because in the triangles ...
... 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 off DB a 3.1 . equal to AC , the less , and join DC ; there fore , because in the triangles ...
Side 12
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base 5.1 . CD are equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC is likewise greater than BCD ; much ...
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base 5.1 . CD are equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC is likewise greater than BCD ; much ...
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