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 5
But , by often confidering and comparing together the Definitions and Demonftrations as they are in the Greek Editions ... and by taking out of this Book , besides other things , the good Definition which Eudoxus or Euclid had given of ...
But , by often confidering and comparing together the Definitions and Demonftrations as they are in the Greek Editions ... and by taking out of this Book , besides other things , the good Definition which Eudoxus or Euclid had given of ...
Side 6
Befides , among the Definitions of the 11th Book , there is this , which is the 10th , viz . ... Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be demonftrated , and not affumed ...
Befides , among the Definitions of the 11th Book , there is this , which is the 10th , viz . ... Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be demonftrated , and not affumed ...
Side 7
... and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of Book 11th ; befides , the Tranflation is much amended by the friendly affiftance of a learned Gentleman , To which are also ...
... and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of Book 11th ; befides , the Tranflation is much amended by the friendly affiftance of a learned Gentleman , To which are also ...
Side 9
DEFINITIONS . I. A Point is that which hath no parts , or which hath no See Notes . magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A ftraight line is that which lies evenly between ...
DEFINITIONS . I. A Point is that which hath no parts , or which hath no See Notes . magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A ftraight line is that which lies evenly between ...
Side 50
... therefore the angle DAC is equal to the angle BAC : But DAC is a right angle ; therefore alfo BAC is a right angle . Therefore , if the fquare , & c . Q. E. D. с THE 4 " THE " ELEMENT S OF EUCLID . DEFINITIONS . 50 THE ELEMENTS.
... therefore the angle DAC is equal to the angle BAC : But DAC is a right angle ; therefore alfo BAC is a right angle . Therefore , if the fquare , & c . Q. E. D. с THE 4 " THE " ELEMENT S OF EUCLID . DEFINITIONS . 50 THE ELEMENTS.
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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 |