The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 46
... BED is at right angle ; wherefore the figure ADEB is rectangular : and it has been demonstrated that + 30Def . it is ... subtending the right angle , is equal to the squares described upon the sides which contain the right angle .
... BED is at right angle ; wherefore the figure ADEB is rectangular : and it has been demonstrated that + 30Def . it is ... subtending the right angle , is equal to the squares described upon the sides which contain the right angle .
Page 49
I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which contuin one of the right ungles . mon . II . In every parallelogram , any of the parallelograms about a diameter ...
I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which contuin one of the right ungles . mon . II . In every parallelogram , any of the parallelograms about a diameter ...
Page 50
If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided ...
If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided ...
Page 51
1 . two parts in the point C : the rectangle contained by AB , BC , together with the rectangle | AB , AC , shall ... Then AÉ is equal to the rectangles AF , D. F E CE : but AE is the square of AB ; and AF is the rectangle contained by ...
1 . two parts in the point C : the rectangle contained by AB , BC , together with the rectangle | AB , AC , shall ... Then AÉ is equal to the rectangles AF , D. F E CE : but AE is the square of AB ; and AF is the rectangle contained by ...
Page 52
BC ; and AD is contained by AC , CB , for CD is equal to CB ; and DB is the square of BC : therefore the rectangle AB , BC is equal to the rectangle AC , CB , together with the square of BC . If therefore a straight line , & c .
BC ; and AD is contained by AC , CB , for CD is equal to CB ; and DB is the square of BC : therefore the rectangle AB , BC is equal to the rectangle AC , CB , together with the square of BC . If therefore a straight line , & c .
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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 |