The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 8
... given straight line AB . Which was required to be done . iom . * 1 Post . * 1 . 1 . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ...
... given straight line AB . Which was required to be done . iom . * 1 Post . * 1 . 1 . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ...
Page 9
... given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
... given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
Page 15
... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . * 1.1 . Take any point D in AB , and from AC cut * * 3 . 1 . off AE equal to AD ; join DE ...
... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . * 1.1 . Take any point D in AB , and from AC cut * * 3 . 1 . off AE equal to AD ; join DE ...
Page 16
... given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . Take any point D in AC , and make * CE ...
... given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . Take any point D in AC , and make * CE ...
Page 17
... given straight line of an unlimited length , from a given point without it . C Let AB bé the given straight line , which may be produced to any length both ways , and let C be a point with- out it . It is required to draw a straight ...
... given straight line of an unlimited length , from a given point without it . C Let AB bé the given straight line , which may be produced to any length both ways , and let C be a point with- out it . It is required to draw a straight ...
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