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 8
From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . # 1 Post .
From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . # 1 Post .
Page 9
Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . ... F From the point A draw * the straight line AD equal to C ; and from the centre A , and at the distance AD , describe * the * 3 ...
Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . ... F From the point A draw * the straight line AD equal to C ; and from the centre A , and at the distance AD , describe * the * 3 ...
Page 16
The straight line FC drawn from the given point C shall be at right F angles to the given straight line AB . + Const . Because DC is equalf to CE , and FC common to the two triangles DCF , ECF ; A D C E B the two sides DC , CF are equal ...
The straight line FC drawn from the given point C shall be at right F angles to the given straight line AB . + Const . Because DC is equalf to CE , and FC common to the two triangles DCF , ECF ; A D C E B the two sides DC , CF are equal ...
Page 17
Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . ... To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it .
Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . ... To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it .
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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 |