The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 89
The opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right ...
The opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right ...
Page 106
I. A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner a figure is ...
I. A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner a figure is ...
Page 107
C V. In like manner , a Circle is said to be inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the ...
C V. In like manner , a Circle is said to be inscribed in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the ...
Page 108
Which was to be done . 1 . PROP . II . PROB . * 17.3 . In a given circle to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in ...
Which was to be done . 1 . PROP . II . PROB . * 17.3 . In a given circle to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in ...
Page 109
1 . remaining angle EDF : wherefore the triangle ABC is equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . and 1 Ax . PROP . III . PROB . About a given circle to describe a triangle ...
1 . remaining angle EDF : wherefore the triangle ABC is equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . and 1 Ax . PROP . III . PROB . About a given circle to describe a triangle ...
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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 |