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 Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 18
... common to the two triangles BFC , CGB ; wherefore the triangles are equal , and their remaining angles , each to each , to which the equal fides are oppofite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the ...
... common to the two triangles BFC , CGB ; wherefore the triangles are equal , and their remaining angles , each to each , to which the equal fides are oppofite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the ...
Side 21
... common to the two triangles DAF , EAF ; the two fides DA , AF , are equal to the two fides EA , AF , each to each ; and the bafe DF is e- B qual to the bafe EF ; therefore the с angle DAF is equal to the angle D E F. C c 8. I. EAF ...
... common to the two triangles DAF , EAF ; the two fides DA , AF , are equal to the two fides EA , AF , each to each ; and the bafe DF is e- B qual to the bafe EF ; therefore the с angle DAF is equal to the angle D E F. C c 8. I. EAF ...
Side 22
... common to the two triangles ACD , BCD ; the two fides AC , CD are e- qual to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; therefore the bafe AD is equal to the bafe c DB , and the ftraight line AB is divided ...
... common to the two triangles ACD , BCD ; the two fides AC , CD are e- qual to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; therefore the bafe AD is equal to the bafe c DB , and the ftraight line AB is divided ...
Side 23
... common fegment . T PROP . XII . E D B PROB . O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced to any length ...
... common fegment . T PROP . XII . E D B PROB . O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced to any length ...
Side 25
... common angle ABC , the remaining angle ABE is equal to the remaining b 3. Ax . angle ABD , the lefs to the greater , which is impoffible ; there fore BE is not in the fame ftraight line with BC . And , in like manner , it may be ...
... common angle ABC , the remaining angle ABE is equal to the remaining b 3. Ax . angle ABD , the lefs to the greater , which is impoffible ; there fore BE is not in the fame ftraight line with BC . And , in like manner , it may be ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore