The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 14
Q. E. D. PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the tvio sides of the one shall be equal to ...
Q. E. D. PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ; the angle which is contained by the tvio sides of the one shall be equal to ...
Page 19
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 , these two straight lines ...
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 , these two straight lines ...
Page 20
Q. E. D. PROP . XV . THEOR . If two straight lines cut one another , the vertical , or opposite angles , shall be equal . Let the two straight lines AB , CD , cut one another in the point E : the angle AEC shall be equal to the angle ...
Q. E. D. PROP . XV . THEOR . If two straight lines cut one another , the vertical , or opposite angles , shall be equal . Let the two straight lines AB , CD , cut one another in the point E : the angle AEC shall be equal to the angle ...
Page 21
PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior ... Q. E. D. * 15.1 .米 PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles .
PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior ... Q. E. D. * 15.1 .米 PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles .
Page 22
Q. E. D. angle BĆA PROP . XVIII . THEOR . The greater side of every triangle is opposite lo the greater angle . Let ABC be a triangle , of A which the side AC is greater than the side AB : ' { lie'aggle ABC shu bo greater thavi the B ...
Q. E. D. angle BĆA PROP . XVIII . THEOR . The greater side of every triangle is opposite lo the greater angle . Let ABC be a triangle , of A which the side AC is greater than the side AB : ' { lie'aggle ABC shu bo greater thavi the B ...
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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 |