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 15
Let AB be the given straight line ; it is required to defcribe an equilateral triangle upon it . ... at the diftance BC , defcribed the circle CGH , and from the centre D , at the diftance DG , defcribe the circle GKL .
Let AB be the given straight line ; it is required to defcribe an equilateral triangle upon it . ... at the diftance BC , defcribed the circle CGH , and from the centre D , at the diftance DG , defcribe the circle GKL .
Side 44
It is required to defcribe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles ... and it has one of its angles CEF equal to the given angle D : wherefore there has been defcribed a parallelogram B ...
It is required to defcribe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles ... and it has one of its angles CEF equal to the given angle D : wherefore there has been defcribed a parallelogram B ...
Side 48
Let AB be the given straight line ; it is required to defcribe a fquare upon AB . ... IN any right angled triangle , the fquare which is defcribed upon the fide fubtending the right angle , is equal to the fquares defcribed upon the ...
Let AB be the given straight line ; it is required to defcribe a fquare upon AB . ... IN any right angled triangle , the fquare which is defcribed upon the fide fubtending the right angle , is equal to the fquares defcribed upon the ...
Side 49
Therefore , in any right angled triangle , & c . Q. E. D. K PROP . XLVIII . THEOR . IF F the square described upon one of the fides of a triangle , be equal to the fquares defcribed upon the other two fides of it ; the angle contained ...
Therefore , in any right angled triangle , & c . Q. E. D. K PROP . XLVIII . THEOR . IF F the square described upon one of the fides of a triangle , be equal to the fquares defcribed upon the other two fides of it ; the angle contained ...
Side 50
I. If the fquare defcribed upon BC , one of the fides of the triangle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . D A From the point A draw a AD at right angles to AC , and make AD equal ...
I. If the fquare defcribed upon BC , one of the fides of the triangle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . D A From the point A draw a AD at right angles to AC , and make AD equal ...
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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 |