The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 2
... at the point in which the straight lines that contain the angle meet one another , is put between the other two ... and the other upon the other line : Thus the angle which is contained by the straight lines , AB , CB , is named the ...
... at the point in which the straight lines that contain the angle meet one another , is put between the other two ... and the other upon the other line : Thus the angle which is contained by the straight lines , AB , CB , is named the ...
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 4
Rectilineal figures are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons ...
Rectilineal figures are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons ...
Page 10
If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their buses , or third sides , equal ; and ...
If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their buses , or third sides , equal ; and ...
Page 11
Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles ...
Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles ...
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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 |