The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 8
... 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 ; it is required to draw from the point A a straight line equal to BC . From the point A to B ...
... 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 ; it is required to draw from the point A a straight line equal to BC . From the point A to B ...
Page 9
... 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 straight lines , whereof AB is the greater . It is re- quired to cut off from AB , the greater , a part equal to C ...
... 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 straight lines , whereof AB is the greater . It is re- quired to cut off from AB , the greater , a part equal to C ...
Page 15
... PROB . To bisect a 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 ...
... PROB . To bisect a 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 ...
Page 16
... PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is re- quired to divide it into two equal parts . Describe * upon it an equilateral triangle ABC , and ...
... PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is re- quired to divide it into two equal parts . Describe * upon it an equilateral triangle ABC , and ...
Page 17
... PROB . To draw a straight line perpendicular to a 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 ...
... PROB . To draw a straight line perpendicular to a 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 ...
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