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 17
... angles with the straight line CBE , upon one side of it , the angles ABC , ABE are together equal to two a 13. 1 . right angles ; but the angles ABC , ABD are likewise toge- ther equal to two right angles ; therefore the angles CBA , ABE ...
... angles with the straight line CBE , upon one side of it , the angles ABC , ABE are together equal to two a 13. 1 . right angles ; but the angles ABC , ABD are likewise toge- ther equal to two right angles ; therefore the angles CBA , ABE ...
Side 23
... angle EDG equal to the angle BAC ; and 23. 1 . make DG equal to AC or DF , and join EG , GF . a b Because AB is equal to DE , and AC to DG , the two sides BA , AC are equal to the two ED , DG , each to each , and the angle BAC is equal C to ...
... angle EDG equal to the angle BAC ; and 23. 1 . make DG equal to AC or DF , and join EG , GF . a b Because AB is equal to DE , and AC to DG , the two sides BA , AC are equal to the two ED , DG , each to each , and the angle BAC is equal C to ...
Side 24
... equal to it , or less ; but the angle BAC is not equal to the angle EDF , be- cause then the base BC a 4.1 . would ... angles of one equal to two angles of the other , each to each ; and one side equal to o one side , viz . either the ...
... equal to it , or less ; but the angle BAC is not equal to the angle EDF , be- cause then the base BC a 4.1 . would ... angles of one equal to two angles of the other , each to each ; and one side equal to o one side , viz . either the ...
Side 25
... equal to the angle DEF ; therefore the base GC is equal to the base DF , and the triangle GBC to the tri- 4. 1 . angle DEF , and the other angles to the other angles , each to each , to which the equal sides are opposite ; therefore the ...
... equal to the angle DEF ; therefore the base GC is equal to the base DF , and the triangle GBC to the tri- 4. 1 . angle DEF , and the other angles to the other angles , each to each , to which the equal sides are opposite ; therefore the ...
Side 27
... angle EGB equal to the angle AGH , the angle AGH is Book I. equal to the angle GHD ; and they are the alternate angles ; therefore AB is parallel to CD . Again , because the angles BGH , GHD are equal to two right angles ; and that AGH , ...
... angle EGB equal to the angle AGH , the angle AGH is Book I. equal to the angle GHD ; and they are the alternate angles ; therefore AB is parallel to CD . Again , because the angles BGH , GHD are equal to two right angles ; and that AGH , ...
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