The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 75
... taken , & c . Q. E. D. * PROP . VIII . THEOR . If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave ...
... taken , & c . Q. E. D. * PROP . VIII . THEOR . If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave ...
Page 77
... taken within a circle , from which there fall more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there fall ...
... taken within a circle , from which there fall more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there fall ...
Page 78
... taken , & c . Q. E. D. PROP . X. THEOR . One circumference of a circle cannot cut another in more than two points . If it be possible , let the cir- cumference FAB cut the cir- cumference DEF in more than two points , viz . in B , G , F ...
... taken , & c . Q. E. D. PROP . X. THEOR . One circumference of a circle cannot cut another in more than two points . If it be possible , let the cir- cumference FAB cut the cir- cumference DEF in more than two points , viz . in B , G , F ...
Page 105
... taken without the circle ABC , and from it let two straight lines DCA and DB be drawn , of which DCA cuts the cir- cle , and DB meets it ; if the rectangle AD , DC be equal to the square of DB ; DB shall touch the circle . * * 1 . Draw ...
... taken without the circle ABC , and from it let two straight lines DCA and DB be drawn , of which DCA cuts the cir- cle , and DB meets it ; if the rectangle AD , DC be equal to the square of DB ; DB shall touch the circle . * * 1 . Draw ...
Page 127
... taken , and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second , the multiple of the third is also less than that of the fourth : or , if the multiple of the first be ...
... taken , and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second , the multiple of the third is also less than that of the fourth : or , if the multiple of the first be ...
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