The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 11
V. THEOR . The angles at the base of an isosceles triangle ure equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side ...
V. THEOR . The angles at the base of an isosceles triangle ure equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side ...
Page 13
THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those which are terminated in the ...
THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those which are terminated in the ...
Page 18
THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it , the angles CBA ...
THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it , the angles CBA ...
Page 21
THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles .. Let ABC be a triangle , and let its side BC be produced to D : the exterior angle ACD shall be greater than ...
THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles .. Let ABC be a triangle , and let its side BC be produced to D : the exterior angle ACD shall be greater than ...
Page 22
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 Becauze AC is gicater than AB ...
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 Becauze AC is gicater than AB ...
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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 |