The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 49
... parallelogram BL is equal to the square GB : and in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC : there- fore the whole square BDEC is equal to the two squares GB , HC ...
... parallelogram BL is equal to the square GB : and in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC : there- fore the whole square BDEC is equal to the two squares GB , HC ...
Side 51
... parallelogram is said to be contained Book II . by any two of the straight lines which contain one of the right angles . II . In every parallelogram , any of the parallelograms about a dia- meter , together with the H E D F K two ...
... parallelogram is said to be contained Book II . by any two of the straight lines which contain one of the right angles . II . In every parallelogram , any of the parallelograms about a dia- meter , together with the H E D F K two ...
Side 58
... parallelogram CO ; therefore also BN is equal to GR ; and the four rect- angles BN , CK , GR , RN are therefore equal to one another , and so are quadruple of one of them CK : again , because CB is equal to BD , and that BD is equal d ...
... parallelogram CO ; therefore also BN is equal to GR ; and the four rect- angles BN , CK , GR , RN are therefore equal to one another , and so are quadruple of one of them CK : again , because CB is equal to BD , and that BD is equal d ...
Side 65
... parallelogram BCDE equal to the a 45. 1 . rectilineal figure A. If then the sides of it BE , ED are equal to one another , it is a square , and what was requir ed is now done : but if they are not equal , produceone of them BE to F ...
... parallelogram BCDE equal to the a 45. 1 . rectilineal figure A. If then the sides of it BE , ED are equal to one another , it is a square , and what was requir ed is now done : but if they are not equal , produceone of them BE to F ...
Side 66
... parallelogram BD , because EF is equal to ED ; therefore BD is equal to the square of EH ; but BD is equal to the rectilineal figure A ; therefore the rectilineal figure A is equal to the square of EH : wherefore a square has been made ...
... parallelogram BD , because EF is equal to ED ; therefore BD is equal to the square of EH ; but BD is equal to the rectilineal figure A ; therefore the rectilineal figure A is equal to the square of EH : wherefore a square has been made ...
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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