The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 6-10 av 38
Side 126
... multiples K , L ; therefore K is the same multiple oAA , ' that L is of Ca ; for the same reason , Mis K the same multiple of B , that N is of D : and because , aš A is to B , L so is C to Db , and of A and C have been taken certain ...
... multiples K , L ; therefore K is the same multiple oAA , ' that L is of Ca ; for the same reason , Mis K the same multiple of B , that N is of D : and because , aš A is to B , L so is C to Db , and of A and C have been taken certain ...
Side 127
... multiple of A , that Lis of C and because A is to B , as C is to D , and of A and C certain equimultiples have been ... multiple of another , which a magnitude taken from the first is of a mag- nitude taken from the other ; the remainder ...
... multiple of A , that Lis of C and because A is to B , as C is to D , and of A and C certain equimultiples have been ... multiple of another , which a magnitude taken from the first is of a mag- nitude taken from the other ; the remainder ...
Side 128
... multiple of E , that KH is of F. But AB , by the hypothe- sis , is the same multiple of E that CD is of F ; therefore KH is the same multiple of F , that CD is of F ; where- a L. Ax . 5. fore KH is equal to CD : a take away the common ...
... multiple of E , that KH is of F. But AB , by the hypothe- sis , is the same multiple of E that CD is of F ; therefore KH is the same multiple of F , that CD is of F ; where- a L. Ax . 5. fore KH is equal to CD : a take away the common ...
Side 130
... multiples whatever G and H : then , because A is the same multiple of B that C is of D ; and that E is the same multiple of A , that F is of C ; E is the same multiple of B , that Fis of Da ; therefore E and F are the same multiples of ...
... multiples whatever G and H : then , because A is the same multiple of B that C is of D ; and that E is the same multiple of A , that F is of C ; E is the same multiple of B , that Fis of Da ; therefore E and F are the same multiples of ...
Side 131
... multiple , or part of the se- cond ; the third is the same multiple , or the same part of the fourth . Let A be to B , as C is to D ; and first let A be a multiple of B ; C is the same multiple of D. Take E equal to A , and whatever mul ...
... multiple , or part of the se- cond ; the third is the same multiple , or the same part of the fourth . Let A be to B , as C is to D ; and first let A be a multiple of B ; C is the same multiple of D. Take E equal to A , and whatever mul ...
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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