The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 6-10 av 81
Side 344
... magnitudes A , B , C , D being given , of which A and B together are not less than C and D together , and such that any three of them whatever are greater than the fourth , it is required to find a fifth magnitude E such , that any two ...
... magnitudes A , B , C , D being given , of which A and B together are not less than C and D together , and such that any three of them whatever are greater than the fourth , it is required to find a fifth magnitude E such , that any two ...
Side 367
... given in magnitude , when equals to them can be found . II . A ratio is said to be given , when a ratio of a given magnitude to a given magnitude which is the same ratio with it can be found . III . Rectilineal figures are said to be ...
... given in magnitude , when equals to them can be found . II . A ratio is said to be given , when a ratio of a given magnitude to a given magnitude which is the same ratio with it can be found . III . Rectilineal figures are said to be ...
Side 368
... magnitude is said to be less than another by a given mag- nitude , when this given magnitude being added to it , the whole is equal to the other magnitude . PROPOSITION I. THE ratios of given magnitudes to one another is given . Let A , B ...
... magnitude is said to be less than another by a given mag- nitude , when this given magnitude being added to it , the whole is equal to the other magnitude . PROPOSITION I. THE ratios of given magnitudes to one another is given . Let A , B ...
Side 369
... given a , because a magnitude D to it has been found . The c 14. 5 . a 1. def . equal The limitation within the ... given magnitudes be added together , their sum shall be given . Let any given magnitudes AB , BC be added together ...
... given a , because a magnitude D to it has been found . The c 14. 5 . a 1. def . equal The limitation within the ... given magnitudes be added together , their sum shall be given . Let any given magnitudes AB , BC be added together ...
Side 370
... magnitudes , the first together with the second be given , and also the second together with the third ; either the first is equal to the third , or one of them is greater than the other by a given magnitude . Let AB , BC , CD be three ...
... magnitudes , the first together with the second be given , and also the second together with the third ; either the first is equal to the third , or one of them is greater than the other by a given magnitude . Let AB , BC , CD be three ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore