The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 8
... Let AB be the given straight line ; it is re- quired to describe an ... ABC shall be an equilateral triangle . finition . Because the point A is the ... ABC is therefore equilateral , and it is described upon the given straight line AB ...
... Let AB be the given straight line ; it is re- quired to describe an ... ABC shall be an equilateral triangle . finition . Because the point A is the ... ABC is therefore equilateral , and it is described upon the given straight line AB ...
Page 10
... Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and B the angle BAC equal to AA CE the angle EDF , the base BC shall be equal to the base ...
... Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and B the angle BAC equal to AA CE the angle EDF , the base BC shall be equal to the base ...
Page 11
... Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E : the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any ...
... Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E : the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any ...
Page 12
... Let ABC be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other : let AB be the greater ; and from it cut * off DB ...
... Let ABC be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other : let AB be the greater ; and from it cut * off DB ...
Page 14
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also the base A DG BC equal to the base EF . The angle BAC shall be equal to the angle EDF ...
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also the base A DG BC equal to the base EF . The angle BAC shall be equal to the angle EDF ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole