The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Page 75
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 , the greatest is that which passes through ...
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 , the greatest is that which passes through ...
Page 77
If a point be 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 ...
If a point be 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 ...
Page 78
Wherefore , if a point be taken , & c . Q.E. D. PROP . X. THEOR . One circumference of a circle cunnot cut another in more than two points . If it be possible , let the circumference FAB cut the circumference DEF in more than B D H two ...
Wherefore , if a point be taken , & c . Q.E. D. PROP . X. THEOR . One circumference of a circle cunnot cut another in more than two points . If it be possible , let the circumference FAB cut the circumference DEF in more than B D H two ...
Page 105
Let any point D be 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 he equal to the square of DB ; DB shall touch the ...
Let any point D be 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 he equal to the square of DB ; DB shall touch the ...
Page 127
V. The first of four magnitudes is said to have the same ratio to the second , which the third has to the fourth , when any equimultiples whatsoever of the first and third being taken , and any equimultiples whatsoever of the second and ...
V. The first of four magnitudes is said to have the same ratio to the second , which the third has to the fourth , when any equimultiples whatsoever of the first and third being taken , and any equimultiples whatsoever of the second and ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |
Common terms and phrases
altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole
Bibliographic information
| Title | The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
| Author | Euclid |
| Editors | Robert Simson, Samuel Maynard |
| Translated by | Robert Simson |
| Publisher | Longman, Orme, Brown, Green, and Longmans, 1838 |
| Original from | University of Iowa |
| Digitized | 13 Jul 2015 |
| Length | 328 pages |
| Export Citation | BiBTeX EndNote RefMan |