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 9
... base EF ; and the triangle ABC to the triangle DEF ; and the other angles to which the equal sides are opposite ... base BC shall coin- cide with the base EF , because the point B coinciding with E , and C with F , if the base BC does ...
... base EF ; and the triangle ABC to the triangle DEF ; and the other angles to which the equal sides are opposite ... base BC shall coin- cide with the base EF , because the point B coinciding with E , and C with F , if the base BC does ...
Side 10
... base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and the remain- ing angles of the one are equal to the remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ...
... base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and the remain- ing angles of the one are equal to the remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ...
Side 11
... base DC is equal to the base AB , and the triangle DBC is equal to the triangle ACB , the less to the greater ; which is absurd . Therefore AB is not B unequal to AC , that is , it is equal to it . Wherefore , if two angles , & c ...
... base DC is equal to the base AB , and the triangle DBC is equal to the triangle ACB , the less to the greater ; which is absurd . Therefore AB is not B unequal to AC , that is , it is equal to it . Wherefore , if two angles , & c ...
Side 12
... base 5.1 . CD are equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC ... base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one ...
... base 5.1 . CD are equal to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle FDC ... base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one ...
Side 13
... base BC coincides with the base EF , but the sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG , then , upon the same base EF , and upon the same side of it , there can be two triangles ...
... base BC coincides with the base EF , but the sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG , then , upon the same base EF , and upon the same side of it , there can be two triangles ...
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