The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 6-10 of 29
Page 35
... extremities of two equal and parallel straight lines towards the same parts , are also themselves equal and parallel . Let AB , CD be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ...
... extremities of two equal and parallel straight lines towards the same parts , are also themselves equal and parallel . Let AB , CD be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ...
Page 38
... extremities of equal and parallel straight lines * 83 . 1. towards the same parts , are themselves * equal and parallel ; therefore EB , HC are both equal and parallel ; and therefore EBCH is at paral- lelogram ; and it is equal to ABCD ...
... extremities of equal and parallel straight lines * 83 . 1. towards the same parts , are themselves * equal and parallel ; therefore EB , HC are both equal and parallel ; and therefore EBCH is at paral- lelogram ; and it is equal to ABCD ...
Page 68
... extremities of the straight line which is the base of the segment . IX . D And an angle is said to insist or stand upon the circumference intercepted beween the straight lines that contain the angle . X. A sector of a circle is the ...
... extremities of the straight line which is the base of the segment . IX . D And an angle is said to insist or stand upon the circumference intercepted beween the straight lines that contain the angle . X. A sector of a circle is the ...
Page 76
... remainder KD is greater * than the remainder GD , that is , GD is less than KD : and because MLD is a triangle , and from the points M , D , the extremities of its side MD , i . † 5 Ax . the straight lines MK 76 EUCLID'S ELEMENTS .
... remainder KD is greater * than the remainder GD , that is , GD is less than KD : and because MLD is a triangle , and from the points M , D , the extremities of its side MD , i . † 5 Ax . the straight lines MK 76 EUCLID'S ELEMENTS .
Page 83
... extremity of it , falls without the circle ; and no straight line can be drawn from the extremity between that straight line and the circumference , so as not to cut the circle ; or , which is the same thing , no straight line can make ...
... extremity of it , falls without the circle ; and no straight line can be drawn from the extremity between that straight line and the circumference , so as not to cut the circle ; or , which is the same thing , no straight line can make ...
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