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 21
Take any point D in AB , and from AC cut a off AE equal to a 3. 1 . AD ; join DE , and upon it describe b an equilateral triangle DEF ; then join AF ; the ftraight line AF bifects the angle BAC . A D Because AD is equal to AE , and AF ...
Take any point D in AB , and from AC cut a off AE equal to a 3. 1 . AD ; join DE , and upon it describe b an equilateral triangle DEF ; then join AF ; the ftraight line AF bifects the angle BAC . A D Because AD is equal to AE , and AF ...
Side 22
See N. Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . a 3. I. F Take any point D in AC , and a make CE equal to CD , and b 1.
See N. Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . a 3. I. F Take any point D in AC , and a make CE equal to CD , and b 1.
Side 23
It is required to draw a straight line perpendicular to AB from the point C. C H E Take any point D upon the other fide of AB , and from the centre C , at the diftance CD , defcribe b the circle EGF meeting AB in F A G ; and bifect ...
It is required to draw a straight line perpendicular to AB from the point C. C H E Take any point D upon the other fide of AB , and from the centre C , at the diftance CD , defcribe b the circle EGF meeting AB in F A G ; and bifect ...
Side 25
Take away the common angle AED , and the remaining angle CEA is equal b to the remaining angle DEB . In the fame manner it can be demonftrated that the angles CEB , AED are equal . Therefore , if two ftraight lines , & c .
Take away the common angle AED , and the remaining angle CEA is equal b to the remaining angle DEB . In the fame manner it can be demonftrated that the angles CEB , AED are equal . Therefore , if two ftraight lines , & c .
Side 29
Take a straight line DE terminated at the point D , but unlimited towards E , and make a DF equal to A , FG to B , and GH equal to C ; and from the centre F , at the distance FD , describe bthe circleD DKL ; and from the centre G ...
Take a straight line DE terminated at the point D , but unlimited towards E , and make a DF equal to A , FG to B , and GH equal to C ; and from the centre F , at the distance FD , describe bthe circleD DKL ; and from the centre G ...
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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 |