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
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
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 20
AB to DE , and AC to A DF ; and alfo the bafe BC equal to the bafe EF . The D G 1 For , if the triB CE angle , ABC be applied to DEF , fo F that the point B be on E , and the ftraight line BC upon EF ; the point Chall alfo coincide with ...
AB to DE , and AC to A DF ; and alfo the bafe BC equal to the bafe EF . The D G 1 For , if the triB CE angle , ABC be applied to DEF , fo F that the point B be on E , and the ftraight line BC upon EF ; the point Chall alfo coincide with ...
Side 21
AC shall coincide with ED and DF ; for , if the base BC coincides with the bafe EF , but the fides BA , CA do not coincide with the fides ED , FD , but have a different fituation as EG , FG ; then , upon the fame base EF , and upon the ...
AC shall coincide with ED and DF ; for , if the base BC coincides with the bafe EF , but the fides BA , CA do not coincide with the fides ED , FD , but have a different fituation as EG , FG ; then , upon the fame base EF , and upon the ...
Side 22
I. bafe DB , and the ftraight line AB is divided into two equal parts in the point D. Which was to be done . A с D B ' PROP . XI . PROB . Tur O draw a straight line at right angles to a given straight line , from a given point in the ...
I. bafe DB , and the ftraight line AB is divided into two equal parts in the point D. Which was to be done . A с D B ' PROP . XI . PROB . Tur O draw a straight line at right angles to a given straight line , from a given point in the ...
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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