The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 34
1. draw CE parallel * to the E straight line AB : and because AB is parallel to CE , and AC meets them , D the alternate angles BAC , * 29. 1. ACE , are equal . * Again , because AB is parallel to CE , and BD falls upon them ...
1. draw CE parallel * to the E straight line AB : and because AB is parallel to CE , and AC meets them , D the alternate angles BAC , * 29. 1. ACE , are equal . * Again , because AB is parallel to CE , and BD falls upon them ...
Page 35
The straight lines which join the extremities of tưo equal and parallel straight lines towards the same parts , are also themselves equal and parallel . Let AB , CD be equal and parallel straight lines , and A B joined towards the same ...
The straight lines which join the extremities of tưo equal and parallel straight lines towards the same parts , are also themselves equal and parallel . Let AB , CD be equal and parallel straight lines , and A B joined towards the same ...
Page 36
27.1 . another , AC is parallel * to BD : and it was shown to be equal to it . Therefore , straight lines , & c . Q. E. D. * 29. I PROP . XXXIV . THEOR . The opposite sides and angles of parallelograms are equal to one another , and the ...
27.1 . another , AC is parallel * to BD : and it was shown to be equal to it . Therefore , straight lines , & c . Q. E. D. * 29. I PROP . XXXIV . THEOR . The opposite sides and angles of parallelograms are equal to one another , and the ...
Page 37
Parallelograms upon the same base , and between the same parallels , are equal to one another . Let the parallelograms ABCD , EBCF be See the upon the same base BC , and between the same parallels AF , BC : the parallelogram ABCD ...
Parallelograms upon the same base , and between the same parallels , are equal to one another . Let the parallelograms ABCD , EBCF be See the upon the same base BC , and between the same parallels AF , BC : the parallelogram ABCD ...
Page 38
Parallelograms upon equal bases , and between the sume parallels , are equal to one another . ... the same parts by the straight lines BE , CH : but straight lines which join the extremities of equal and parallel straight lines * 53.
Parallelograms upon equal bases , and between the sume parallels , are equal to one another . ... the same parts by the straight lines BE , CH : but straight lines which join the extremities of equal and parallel straight lines * 53.
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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 |