The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 9
... but the straight line C is f15 Def . likewise equal t to AD ; whence AE and C are + Const . each of them equal to AD : wherefore the straight line AE is equal to * C , and from AB the greater * 1 Ax . of two straight lines , a part ...
... but the straight line C is f15 Def . likewise equal t to AD ; whence AE and C are + Const . each of them equal to AD : wherefore the straight line AE is equal to * C , and from AB the greater * 1 Ax . of two straight lines , a part ...
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 ...
Page 13
... and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those which are terminated in the other extremity .
... and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those which are terminated in the other extremity .
Page 14
Therefore , upon the same base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...
Therefore , upon the same base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...
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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 |