The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 7
The whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . * If a straight line meets two straight lines , so as to make the two interior angles on the same ...
The whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . * If a straight line meets two straight lines , so as to make the two interior angles on the same ...
Page 10
Therefore the base BC coincides with the base EF , and 18 Ax . therefore is equalt to it . Wherefore the whole triangle ABC coincides with the whole triangle : DEF , and is equal to it ; and the io EUCLID'S ELEMENTS . NÁ ...
Therefore the base BC coincides with the base EF , and 18 Ax . therefore is equalt to it . Wherefore the whole triangle ABC coincides with the whole triangle : DEF , and is equal to it ; and the io EUCLID'S ELEMENTS . NÁ ...
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 parts AB , AC , are * 3 Ax . equal ; the remainder BF is equal * to the remainder CG ; and FC was proved to be equal ...
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 parts AB , AC , are * 3 Ax . equal ; the remainder BF is equal * to the remainder CG ; and FC was proved to be equal ...
Page 23
In the same manner it may be Because AD is equal t to AC , add BA to each , therefore + Conse the whole BD is equal t to the two BA and AC . * 3.1 . 5.1 . D far of When Deter San Take a 9 demonstrated. 12 Ax . * 3 . 1 . * 4 .
In the same manner it may be Because AD is equal t to AC , add BA to each , therefore + Conse the whole BD is equal t to the two BA and AC . * 3.1 . 5.1 . D far of When Deter San Take a 9 demonstrated. 12 Ax . * 3 . 1 . * 4 .
Page 34
1. angle ECD is equal t to the interior and opposite angle ABC : but the angle ACE was shown to be equal to the angle BAČ ; therefore the whole +2 Ax . , exterior angle ACD is equal to the two interior and opposite angles CAB , ABC : to ...
1. angle ECD is equal t to the interior and opposite angle ABC : but the angle ACE was shown to be equal to the angle BAČ ; therefore the whole +2 Ax . , exterior angle ACD is equal to the two interior and opposite angles CAB , ABC : to ...
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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 |