The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 16
... CD , each to each ; and the angle ACD is † Const . equal t to the angle BCD ; therefore the base AD is equal to the A D B base * DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done .
... CD , each to each ; and the angle ACD is † Const . equal t to the angle BCD ; therefore the base AD is equal to the A D B base * DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done .
Page 34
For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of ...
For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of ...
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
If a straight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the square of the aforesaid part .
If a straight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the square of the aforesaid part .
Page 52
If a straight line be divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . Let the straight line AB be divided into any two parts ...
If a straight line be divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . Let the straight line AB be divided into any two parts ...
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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 |