The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight 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 such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI .
Page 67
I. 66 ÉQual circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal This is not a definition , but a theorem , the truth of which is evident ; for , if the ...
I. 66 ÉQual circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal This is not a definition , but a theorem , the truth of which is evident ; for , if the ...
Page 68
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . " VIII .
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . " VIII .
Page 69
I N.B. - Whenever the expression “ straight lines from the centre , " or drawn “ from the centre , ” occurs , it is to be understood that they are drawn to the circumference . the same manner it can be shown that no other BOOK III .
I N.B. - Whenever the expression “ straight lines from the centre , " or drawn “ from the centre , ” occurs , it is to be understood that they are drawn to the circumference . the same manner it can be shown that no other BOOK III .
Page 70
If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points B in the circumference ; the straight line drawn from A to B ...
If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points B in the circumference ; the straight line drawn from A to B ...
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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |
Common terms and phrases
altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole
Bibliographic information
| Title | The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
| Author | Euclid |
| Editors | Robert Simson, Samuel Maynard |
| Translated by | Robert Simson |
| Publisher | Longman, Orme, Brown, Green, and Longmans, 1838 |
| Original from | University of Iowa |
| Digitized | 13 Jul 2015 |
| Length | 328 pages |
| Export Citation | BiBTeX EndNote RefMan |