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 1 - 5 από τα 28.
Σελίδα 31
... angle AED , and the remaining angle CEA it A- -B E D is equal ( 3. Ax . ) to the remaining angle DEB . In the same ... exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side ...
... angle AED , and the remaining angle CEA it A- -B E D is equal ( 3. Ax . ) to the remaining angle DEB . In the same ... exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side ...
Σελίδα 32
... exterior angle of the triangle ABC , ACD is greater ( 16. 1. ) then the interior and opposite angle ABC ; to each of ... angle opposite to it . Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is ...
... exterior angle of the triangle ABC , ACD is greater ( 16. 1. ) then the interior and opposite angle ABC ; to each of ... angle opposite to it . Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is ...
Σελίδα 34
... angle . Let the two straight lines BD , CD be drawn from B , C , the ends of the side BC of the triangle ABC , to ... exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exterior angle BDC of the ...
... angle . Let the two straight lines BD , CD be drawn from B , C , the ends of the side BC of the triangle ABC , to ... exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exterior angle BDC of the ...
Σελίδα 38
... angles ; therefore ( 4. 1. ) the base AH is equal to the base DF , and the triangle ABH to the triangle DEF , and the ... exterior angle BHA of the trian- gle AHC is equal to its interior and opposite angle BCA : which is im- possible ...
... angles ; therefore ( 4. 1. ) the base AH is equal to the base DF , and the triangle ABH to the triangle DEF , and the ... exterior angle BHA of the trian- gle AHC is equal to its interior and opposite angle BCA : which is im- possible ...
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 ... exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon ...
... angle AEF is greater ( 16. 1. ) than the interior and oppo site angle EFG ; but it is also equal to it , which is ... exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon ...
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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