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
... the base BC fhall coincide with the base EF ; because the point B coinciding with E , and C with F , if the base BC does not coincide with the bafe EF , two straight lines would inclofe a space , which is impoffible a . the base BC ...
... the base BC fhall coincide with the base EF ; because the point B coinciding with E , and C with F , if the base BC does not coincide with the bafe EF , two straight lines would inclofe a space , which is impoffible a . the base BC ...
Side 18
A 1 Because AF is equal to AG , and AB to AC , the two fides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is eb 4.
A 1 Because AF is equal to AG , and AB to AC , the two fides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is eb 4.
Side 19
UPS PON the fame base , and on the fame fide of it , see N. there cannot be two triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...
UPS PON the fame base , and on the fame fide of it , see N. there cannot be two triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...
Side 20
E But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other fide of the base CD are a 5. i . equal a ...
E But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other fide of the base CD are a 5. i . equal a ...
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 ...
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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
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | Euclid |
| Utgiver | E. Wingrove, London, and J. Balfour, Edinburgh, 1793 |
| Original fra | Harvard University |
| Digitalisert | 17. apr 2019 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |