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 of Euclid's Data, in Like Manner Corr |
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Side 17
Wherefore the whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles , of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Wherefore the whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles , of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Side 18
1 qual b to the bafe GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ACF to ...
1 qual b to the bafe GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ACF to ...
Side 25
1 . angles ; but the angles ABC , ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC , the remaining angle ABE is equal b to the ...
1 . angles ; but the angles ABC , ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC , the remaining angle ABE is equal b to the ...
Side 26
1. fore the base AB is equal to the bafe CF , and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the equal fides are oppofite ; wherefore the angle BAE is equal to the ...
1. fore the base AB is equal to the bafe CF , and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the equal fides are oppofite ; wherefore the angle BAE is equal to the ...
Side 35
1 . to the angles BGH , GHD : Take away the common angle BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line ...
1 . to the angles BGH , GHD : Take away the common angle BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole