The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 12
... square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . A rhombus , is that which has all its sides ...
... square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . A rhombus , is that which has all its sides ...
Side 48
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . # From the point A draw a AC at right angles to AB ; and make b AD equal to AB , and through the point D draw DE ...
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . # From the point A draw a AC at right angles to AB ; and make b AD equal to AB , and through the point D draw DE ...
Side 49
... 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 ; and the square BDEC is described ...
... 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 ; and the square BDEC is described ...
Side 50
... square described upon BC , one of the sides of the triangle ABC , be equal to the squares upon the other sides BA ... square of DA is equal to the square of AB : to each of these add the square of AC : therefore the squares of DA , AC ...
... square described upon BC , one of the sides of the triangle ABC , be equal to the squares upon the other sides BA ... square of DA is equal to the square of AB : to each of these add the square of AC : therefore the squares of DA , AC ...
Side 52
... square ADEB , and through C drawb CF , parallel to AD or BE ; then AE is equal to the rectangles AF , CE ; and AE is the square of AB ; and AF is the rectangle contained by BA , D C B FE * N . B. To avoid repeating the word contained ...
... square ADEB , and through C drawb CF , parallel to AD or BE ; then AE is equal to the rectangles AF , CE ; and AE is the square of AB ; and AF is the rectangle contained by BA , D C B FE * N . B. To avoid repeating the word contained ...
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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