The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
A figure is that which is inclosed by one or more boundaries . XV . 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 ...
A figure is that which is inclosed by one or more boundaries . XV . 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 ...
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 5
Of four - sided figures , a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Of four - sided figures , a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Page 34
For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of ...
For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of ...
Page 35
L Because every interior angle ABC , with its adjacent exterior ABD , is equal * to two right angles ; therefore all the interior , together with all the exterior angles of the figure , are equal to twice as many right D B angles as ...
L Because every interior angle ABC , with its adjacent exterior ABD , is equal * to two right angles ; therefore all the interior , together with all the exterior angles of the figure , are equal to twice as many right D B angles as ...
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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 |