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 σελίδες |
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Αποτελέσματα 11 - 15 από τα 100.
Σελίδα 38
... AB , BC are equal to the two DE , EF , each to each ; and the angle ABC is equal to the angle DEF , therefore the base AC is equal ( 4. 1. ) to the base DF , and the angle BAC to the angle EDF . Next , let the sides which are opposite ...
... AB , BC are equal to the two DE , EF , each to each ; and the angle ABC is equal to the angle DEF , therefore the base AC is equal ( 4. 1. ) to the base DF , and the angle BAC to the angle EDF . Next , let the sides which are opposite ...
Σελίδα 41
... Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles of the triangle , viz . ABC , BCA , CAB , are ...
... Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles of the triangle , viz . ABC , BCA , CAB , are ...
Σελίδα 43
... Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ... ABC , BCD are equal ( 29. 1. ) ; and because AB is equal to CD , and BC common to the two triangles ABC , DCB , the ...
... Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ... ABC , BCD are equal ( 29. 1. ) ; and because AB is equal to CD , and BC common to the two triangles ABC , DCB , the ...
Σελίδα 45
... Let the triangles ABC , DBC be upon the same base BC , and be- tween the same parallels AD , BC : The triangle ABC , is e- equal to the triangle DBC . Produce AD both ways to the points E , F , and through B draw ( 31. 1. ) BE parallel ...
... Let the triangles ABC , DBC be upon the same base BC , and be- tween the same parallels AD , BC : The triangle ABC , is e- equal to the triangle DBC . Produce AD both ways to the points E , F , and through B draw ( 31. 1. ) BE parallel ...
Σελίδα 46
... ABC is equal to the triangle DBC . Wherefore triangles , & c . Q. E. D. PROP . XXVIII . THEOR . Triangles upon equal bases , and between the same parallels , are equal to one another Let the triangles ABC , DEF be upon equal bases BC ...
... ABC is equal to the triangle DBC . Wherefore triangles , & c . Q. E. D. PROP . XXVIII . THEOR . Triangles upon equal bases , and between the same parallels , are equal to one another Let the triangles ABC , DEF be upon equal bases BC ...
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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 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