The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 1-5 of 100
Page 9
... greater . It is re- quired to cut off from AB , the greater , a part equal to C , the less . From the point A draw * the E B * 2.1 . straight line AD equal to C ; and from the centre A , and at the distance AD , describe the * 3 Post ...
... greater . It is re- quired to cut off from AB , the greater , a part equal to C , the less . From the point A draw * the E B * 2.1 . straight line AD equal to C ; and from the centre A , and at the distance AD , describe the * 3 Post ...
Page 12
... greater than the other : let AB be the greater ; and from it cut * off DB equal to AC , the less , and join DC : therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC com- mon to both , the two sides , DB , 12 ...
... greater than the other : let AB be the greater ; and from it cut * off DB equal to AC , the less , and join DC : therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC com- mon to both , the two sides , DB , 12 ...
Page 13
... greater , which is absurd . There- fore AB is not unequal to AC , that is , it is equal to it . Where- fore , if two ... greater † † 9 Ax than the angle BCD ; therefore the angle ADC is greater also than BCD ; much more then is the angle ...
... greater , which is absurd . There- fore AB is not unequal to AC , that is , it is equal to it . Where- fore , if two ... greater † † 9 Ax than the angle BCD ; therefore the angle ADC is greater also than BCD ; much more then is the angle ...
Page 14
... greater than the angle BCD : wherefore the angle FDC is likewise greater than * 5.1 . * 5.1 . * BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is + Hyp . equal to DB , the angle BDC is equal to the ...
... greater than the angle BCD : wherefore the angle FDC is likewise greater than * 5.1 . * 5.1 . * BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is + Hyp . equal to DB , the angle BDC is equal to the ...
Page 21
... greater then fo ̊Ax . the angle ECF , therefore the angle ACD is greater than BAE . In the sanje manner if the side BC be bisected , and AC be produced to G , it may be demonstrated that the angle BCG , that is , the angle * ACD , is greater ...
... greater then fo ̊Ax . the angle ECF , therefore the angle ACD is greater than BAE . In the sanje manner if the side BC be bisected , and AC be produced to G , it may be demonstrated that the angle BCG , that is , the angle * ACD , is greater ...
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