The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 1
A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that superficies . VIII . “ A plane angle is the inclination of two lines to 66 one another in a plane , which meet together ...
A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that superficies . VIII . “ A plane angle is the inclination of two lines to 66 one another in a plane , which meet together ...
Page 2
66 one another in a plane , which meet together but are not in the same direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line .
66 one another in a plane , which meet together but are not in the same direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line .
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 5
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted , that a B 3 BOOK I. - DEFINITIONS . 5 o ...
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted , that a B 3 BOOK I. - DEFINITIONS . 5 o ...
Page 214
A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight line in that plane which meets it . IV . A plane is perpendicular to a plane , when the straight lines drawn in one of ...
A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight line in that plane which meets it . IV . A plane is perpendicular to a plane , when the straight lines drawn in one of ...
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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 |