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 11
A circle is a plane figure contained by one line , which is called the circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI .
A circle is a plane figure contained by one line , which is called the circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI .
Side 68
A fegment of a circle is the figure contained by a ftraight line and the circumference it cuts off . See N. a IO . I. b II . I. VII . " The angle of a fegment is that which is contained by the " ftraight line and the circumference .
A fegment of a circle is the figure contained by a ftraight line and the circumference it cuts off . See N. a IO . I. b II . I. VII . " The angle of a fegment is that which is contained by the " ftraight line and the circumference .
Side 69
F any two points be taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the ftraight line drawn from A to B ...
F any two points be taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the ftraight line drawn from A to B ...
Side 70
In the fame manner , it may be demonftrated that it does not fall upon the circumference ; it falls therefore with in it . Wherefore , if any two points , & c . Q. E. D. PROP . III . THEOR . á 1. 3 . b 8. I. C Take a E the centre of the ...
In the fame manner , it may be demonftrated that it does not fall upon the circumference ; it falls therefore with in it . Wherefore , if any two points , & c . Q. E. D. PROP . III . THEOR . á 1. 3 . b 8. I. C Take a E the centre of the ...
Side 73
I any point be taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greateft is that in which the centre is , and the other part of that diameter is ...
I any point be taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greateft is that in which the centre is , and the other part of that diameter is ...
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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 |