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 sider |
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Resultat 6-10 av 49
Side 37
... parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallelogram that ...
... parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallelogram that ...
Side 38
... parallelogram equal to the triangle C , and having an angle equal to D. Make ( 42. 1. ) the parallelogram BEFG equal to the triangle C , having the F E C G M B D H A L angle EBG equal to the angle D , and the side BE in the same ...
... parallelogram equal to the triangle C , and having an angle equal to D. Make ( 42. 1. ) the parallelogram BEFG equal to the triangle C , having the F E C G M B D H A L angle EBG equal to the angle D , and the side BE in the same ...
Side 39
... parallelogram equal to ABCD , and hav- ing an angle equal to E. Join DB , and describe ( 42. 1. ) the parallelogram FH equal to the tri- angle ADB , and having the angle HKF equal to the angle E ; and to the straight line GH ( 44. 1 ...
... parallelogram equal to ABCD , and hav- ing an angle equal to E. Join DB , and describe ( 42. 1. ) the parallelogram FH equal to the tri- angle ADB , and having the angle HKF equal to the angle E ; and to the straight line GH ( 44. 1 ...
Side 40
... parallelogram ADEB is equi- lateral ; it is likewise rectangular ; for the straight line AD meeting the parallels , AB , DE , makes the angles BAD , ADE equal ( 29. 1. ) to two right angles ; but BAD is a right angle ; therefore also ...
... parallelogram ADEB is equi- lateral ; it is likewise rectangular ; for the straight line AD meeting the parallels , AB , DE , makes the angles BAD , ADE equal ( 29. 1. ) to two right angles ; but BAD is a right angle ; therefore also ...
Side 41
... parallelogram BL is equal to the square GB : And in the same manner , by joining AE , BK , it is demonstrated that the par- allelogram CL is equal to the square HC . Therefore , 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 par- allelogram CL is equal to the square HC . Therefore , the whole square BDEC is equal to the two squares GB , HC ...
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Vanlige uttrykk og setninger
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