The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 71
... taken in the diameter of a circle , which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ...
... taken in the diameter of a circle , which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ...
Side 72
... 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 circumference ...
... 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 circumference ...
Side 74
... taken within a circle , from which there fall more than two equal straight lines to the circumfer- ence , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there ...
... taken within a circle , from which there fall more than two equal straight lines to the circumfer- ence , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there ...
Side 98
... taken without the circle ABC , and from it let two straight lines DCA and DB be drawn , of which DCA cuts the circle , and DB meets it , if the rectangle AD , DC be equal to the square of DB ; DB touches the circle . Draw ( 17. 3. ) the ...
... taken without the circle ABC , and from it let two straight lines DCA and DB be drawn , of which DCA cuts the circle , and DB meets it , if the rectangle AD , DC be equal to the square of DB ; DB touches the circle . Draw ( 17. 3. ) the ...
Side 117
... taken , and any equi- multiples whatsoever of the second and fourth ; if the multi- ple 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 equi- multiples whatsoever of the second and fourth ; if the multi- ple 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 ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore