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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Σελίδα 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF ... remaining angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF ... remaining angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz ...
Σελίδα 25
... angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG ...
... angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining angles are equal , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG ...
Σελίδα 30
... angle CBE is equal to the two angles CBA , АВЕ together ; add the angle EBD to each of these equals , and the two ... remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight ...
... angle CBE is equal to the two angles CBA , АВЕ together ; add the angle EBD to each of these equals , and the two ... remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight ...
Σελίδα 31
... angle AED , and the remaining angle CEA A- -B E D is equal ( 3. Ax . ) to the remaining angle DEB . In the same manner it may be demonstrated that the angles CEB , AED are equal . There- fore , if two straight lines , & c . Q. E. D. ...
... angle AED , and the remaining angle CEA A- -B E D is equal ( 3. Ax . ) to the remaining angle DEB . In the same manner it may be demonstrated that the angles CEB , AED are equal . There- fore , if two straight lines , & c . Q. E. D. ...
Σελίδα 39
... angle AEF is greater ( 16. 1. ) than the interior and oppo site angle EFG ; but it is also equal to it , which is ... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; there- fore AB is ...
... angle AEF is greater ( 16. 1. ) than the interior and oppo site angle EFG ; but it is also equal to it , which is ... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; there- fore AB is ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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 MDCCCXX 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