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 23
Any two sides of a triangle are together greater than the third side . Let ABC be a triangle : any two sides of it together shall be greater than the third side , viz . the sides BA , AC greater than the side BC ; and AB , BC greater ...
Any two sides of a triangle are together greater than the third side . Let ABC be a triangle : any two sides of it together shall be greater than the third side , viz . the sides BA , AC greater than the side BC ; and AB , BC greater ...
Page 24
Produce BD to E ; and because two sides of a * 20. 1. triangle * are greater than the third side , the two sides BA , AĚ , of the triangle ABE are greater than BE . To each of these add EC ; therefore 44.
Produce BD to E ; and because two sides of a * 20. 1. triangle * are greater than the third side , the two sides BA , AĚ , of the triangle ABE are greater than BE . To each of these add EC ; therefore 44.
Page 25
To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third . * Let A , B , C , be the three given straight lines , of which any two whatever are ...
To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these must be greater than the third . * Let A , B , C , be the three given straight lines , of which any two whatever are ...
Page 28
AB to DE , B CE and AC to DF , and the third angle BAC to the third angle EDF , For , if AB be not equal to DE , one of them must be greater than the other . Let AB be the + 3. 1 . greater of the two , and make BG equal t to DE ...
AB to DE , B CE and AC to DF , and the third angle BAC to the third angle EDF , For , if AB be not equal to DE , one of them must be greater than the other . Let AB be the + 3. 1 . greater of the two , and make BG equal t to DE ...
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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 |