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 TrigonometryW.E. Dean, 1839 - 318 σελίδες |
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Αποτελέσματα 1 - 5 από τα 54.
Σελίδα 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 equal ...
... 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 equal ...
Σελίδα 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 ...
... 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 ...
Σελίδα 51
... square described upon the side BC is equal to the squares de- scribed upon BA , AC . 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 join AD ...
... square described upon the side BC is equal to the squares de- scribed upon BA , AC . 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 join AD ...
Σελίδα 52
... square GB : And in the same man- ner , 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 man- ner , 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 ...
Σελίδα 53
... square of a line " for instance of AD , we shall frequently in what follows write " AD . " " 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 " AD . " " 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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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition 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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism produced proportional 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 parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore