The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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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
DEF , and is equal to it ; and the other angles of the one coincide with the remaining angles of the other , and are equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two ...
DEF , and is equal to it ; and the other angles of the one coincide with the remaining angles of the other , and are equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two ...
Page 12
1 . angle ABG , and the angle AFC to the angle AGB : and because the whole AF is equal to the whole AG , of which the ... CGB ; wherefore these triangles are equal * , and their remaining angles each to each , to which the equal sides ...
1 . angle ABG , and the angle AFC to the angle AGB : and because the whole AF is equal to the whole AG , of which the ... CGB ; wherefore these triangles are equal * , and their remaining angles each to each , to which the equal sides ...
Page 13
mon to both , the two sides , DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the angle + ACB ; therefore the fIlyp . base DC is equal to the base AB , and the triangle DBC is equal to the triangle ...
mon to both , the two sides , DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the angle + ACB ; therefore the fIlyp . base DC is equal to the base AB , and the triangle DBC is equal to the triangle ...
Page 15
To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is requireu ... 1 . off AE equal to AD ; join DE , and upon it describe * an equilateral triangle * 1.1 .
To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is requireu ... 1 . off AE equal to AD ; join DE , and upon it describe * an equilateral triangle * 1.1 .
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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 |