The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Page 5
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted , that a B 3 BOOK I. - DEFINITIONS . 5 o ...
Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted , that a B 3 BOOK I. - DEFINITIONS . 5 o ...
Page 6
That a terminated straight line may be produced to any length in a straight line . IJI . And that a circle may be described from any centre , at any distance from that centre . a AXIOMS . I. THINGS which are equal to the same thing ...
That a terminated straight line may be produced to any length in a straight line . IJI . And that a circle may be described from any centre , at any distance from that centre . a AXIOMS . I. THINGS which are equal to the same thing ...
Page 7
If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side ...
If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side ...
Page 8
2 Post angle DAB , and produce * the straight lines DA , DB , to E and F ; from the centre B , at the dis* 3 Post . tance BC , describe * the circle CGH , and from iom . . * 1. 1 . > * 15 Def . ; the centre D , 8 EUCLID'S ELEMENTS .
2 Post angle DAB , and produce * the straight lines DA , DB , to E and F ; from the centre B , at the dis* 3 Post . tance BC , describe * the circle CGH , and from iom . . * 1. 1 . > * 15 Def . ; the centre D , 8 EUCLID'S ELEMENTS .
Page 11
The angles at the base of an isosceles triangle ure equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...
The angles at the base of an isosceles triangle ure equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...
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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 |