The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 5
A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . o XXXIV . All other four - sided figures besides these , are called Trapeziums . XXXV .
A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . o XXXIV . All other four - sided figures besides these , are called Trapeziums . XXXV .
Page 10
... equal to one another ; they shall likewise have their buses , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite .
... equal to one another ; they shall likewise have their buses , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite .
Page 11
... the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be equal , and their other angles to which the equal sides are opposite shall be equal , each to each .
... the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be equal , and their other angles to which the equal sides are opposite shall be equal , each to each .
Page 12
THEOR , If two angles of a triangle be egual to one another , the sides also which subtend or are opposite to the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB : the ...
THEOR , If two angles of a triangle be egual to one another , the sides also which subtend or are opposite to the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB : the ...
Page 19
Wherefore , when † 1 AX . a straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles ...
Wherefore , when † 1 AX . a straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles ...
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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 |