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, 1851 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 54
Pagina 13
... likewise equal to AD ; D B A E B whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal to ( 1. Ax . ) C , and from AB the greater of two straight lines , a part AE has been cut off equal to C the less ...
... likewise equal to AD ; D B A E B whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal to ( 1. Ax . ) C , and from AB the greater of two straight lines , a part AE has been cut off equal to C the less ...
Pagina 14
... likewise the angles con- tained by those sides equal to one another ; their bases shall be equal , and their areas shall be equal , and their other angles , to which the equal sides are opposite , shall be equal , each to each . PROP ...
... likewise the angles con- tained by those sides equal to one another ; their bases shall be equal , and their areas shall be equal , and their other angles , to which the equal sides are opposite , shall be equal , each to each . PROP ...
Pagina 15
... likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in A equal to ...
... likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in A equal to ...
Pagina 16
... likewise those which are termina- ted in the other extremity equal to one another . PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ...
... likewise those which are termina- ted in the other extremity equal to one another . PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal ...
Pagina 17
... likewise the angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . A Let BAC be the given rectilineal angle , it ...
... likewise the angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . A Let BAC be the given rectilineal angle , it ...
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Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore