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 |
Inni boken
Resultat 1-5 av 100
Side 13
... given finite straight line . Let AB be the given straight line ; it is ... BC is equal to BA : but it has been proved that CA is equal to AB ... BC are equal to one another ; and the triangle ABC is therefore equilateral , and it is ...
... given finite straight line . Let AB be the given straight line ; it is ... BC is equal to BA : but it has been proved that CA is equal to AB ... BC are equal to one another ; and the triangle ABC is therefore equilateral , and it is ...
Side 14
... BC is equal to G , wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a straight line AL ...
... BC is equal to G , wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a straight line AL ...
Side 19
... BC is equal to EF ; therefore BC coin- ciding with EF , BA and AC shall coincide with ED and DF ; for , if the base ... given rectilineal angle , that is , to divide it into two equal angles . it . Let BAC be the given rectilineal angle ...
... BC is equal to EF ; therefore BC coin- ciding with EF , BA and AC shall coincide with ED and DF ; for , if the base ... given rectilineal angle , that is , to divide it into two equal angles . it . Let BAC be the given rectilineal angle ...
Side 34
... given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line . through the point A , parallel to the straight line BC . In BC take any point D , and join AD ; and at the point ...
... given straight line . Let A be the given point , and BC the given straight line ; it is required to draw a straight line . through the point A , parallel to the straight line BC . In BC take any point D , and join AD ; and at the point ...
Side 35
... BC , EF , makes the alternate angles EAD , ADC equal to one another , EF is parallel ( 27. 1. ) to BC . Therefore the straight line EAF is drawn through the given point A parallel to the given straight line BC . Which was to be done ...
... BC , EF , makes the alternate angles EAD , ADC equal to one another , EF is parallel ( 27. 1. ) to BC . Therefore the straight line EAF is drawn through the given point A parallel to the given straight line BC . Which was to be done ...
Andre utgaver - Vis alle
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