Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
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Resultat 1-5 av 54
Side 20
... square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII . A rhombus , is that which has all its sides ...
... square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII . A rhombus , is that which has all its sides ...
Side 50
... 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 ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the point ...
... 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 ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the point ...
Side 51
... square described upon the side BC is equal to the squares de- scribed upon BA , AC . F G H K B On BC describe ( 46. 1. ) the square BDEC , and on BA , AC the squares GB , HC ; and through A draw ( 31. 1 ) AL parallel to BD or CE , and ...
... square described upon the side BC is equal to the squares de- scribed upon BA , AC . F G H K B On BC describe ( 46. 1. ) the square BDEC , and on BA , AC the squares GB , HC ; and through A draw ( 31. 1 ) AL parallel to BD or CE , and ...
Side 52
... square GB : And in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC . Therefore , the whole square BDEC is equal to the two squares GB , HC ; and the square BDEC is de ...
... square GB : And in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC . Therefore , the whole square BDEC is equal to the two squares GB , HC ; and the square BDEC is de ...
Side 53
... square of a line , for " instance of AD , we shall frequently in what follows write AD2 " " The sign + placed between the names of two magnitudes , signi- " fies that those magnitudes are to be added together , and the sign -placed ...
... square of a line , for " instance of AD , we shall frequently in what follows write AD2 " " The sign + placed between the names of two magnitudes , signi- " fies that those magnitudes are to be added together , and the sign -placed ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore