The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 8
... 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 draw * the straight line AB ...
... 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 draw * the straight line AB ...
Page 9
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw * the E B * 2.1 . straight line AD equal to C ; and from the centre A , and at the distance AD , describe the ...
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw * the E B * 2.1 . straight line AD equal to C ; and from the centre A , and at the distance AD , describe the ...
Page 16
... draw a straight line at right angles to a 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 ...
... draw a straight line at right angles to a 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 ...
Page 17
... draw + BE at +11 . 1- right angles to AB ; and because ABC is a straight line , the angle CBE is * equal to the angle EBA ; in the same manner , because ABD is a straight line , the angle DBE is equal to the angle EBA : wherefore † the ...
... draw + BE at +11 . 1- right angles to AB ; and because ABC is a straight line , the angle CBE is * equal to the angle EBA ; in the same manner , because ABD is a straight line , the angle DBE is equal to the angle EBA : wherefore † the ...
Page 33
... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point A , pa- rallel to the straight line BC ...
... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line through the point A , pa- rallel to the straight line BC ...
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