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 |
Inni boken
Resultat 1-5 av 100
Side 11
... fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both the two sides , DB , BC are equal to the two AC , CB each to each ; and the angle DBC is equal to the angle ACB ; therefore the base DC is equal to ...
... fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both the two sides , DB , BC are equal to the two AC , CB each to each ; and the angle DBC is equal to the angle ACB ; therefore the base DC is equal to ...
Side 13
... fore the angle DAF is equal to the angle EAF : wherefore the given rectilineal 1 DA A angle BAC is bisected by the straight line AF . Which was to be done . PROP . X. PROB . To bisect a given finite straight line , that is , to di- vide ...
... fore the angle DAF is equal to the angle EAF : wherefore the given rectilineal 1 DA A angle BAC is bisected by the straight line AF . Which was to be done . PROP . X. PROB . To bisect a given finite straight line , that is , to di- vide ...
Side 15
... fore the angle DBE is equal to the angle CBE , the less to the greater ; which is impossible ; A therefore two straight lines can- not have a common segment . PROP . XII . PROB E D B Book T. 210 Def . 1 . To draw a straight line ...
... fore the angle DBE is equal to the angle CBE , the less to the greater ; which is impossible ; A therefore two straight lines can- not have a common segment . PROP . XII . PROB E D B Book T. 210 Def . 1 . To draw a straight line ...
Side 17
... fore is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . IF two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines AB , CD ...
... fore is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . IF two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines AB , CD ...
Side 22
... fore FK is equal to A : Again , because G is the centre of the 15. Def . circle LKH , GH is equal to GK ; but GH is equal to C ; therefore also GK is equal to C ; and FG is equal to B ; there fore the three straight lines KF , FG , GK ...
... fore FK is equal to A : Again , because G is the centre of the 15. Def . circle LKH , GH is equal to GK ; but GH is equal to C ; therefore also GK is equal to C ; and FG is equal to B ; there fore the three straight lines KF , FG , GK ...
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