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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 20
... angle ABC , and the remaining angle ABE is equal ( 3. Ax . ) to the remaining angle ABD , the less to the greater ... exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side ...
... angle ABC , and the remaining angle ABE is equal ( 3. Ax . ) to the remaining angle ABD , the less to the greater ... exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side ...
Σελίδα 21
... angle BAE is equal to the angle ECF ; but the angle ECD is greater than the an- gle ECF ; therefore the angle ECD ... exterior angle of the tri- angle ABC , ACD is greater ( 16. 1. ) than the interior and opposite angle ABC ; to each of ...
... angle BAE is equal to the angle ECF ; but the angle ECD is greater than the an- gle ECF ; therefore the angle ECD ... exterior angle of the tri- angle ABC , ACD is greater ( 16. 1. ) than the interior and opposite angle ABC ; to each of ...
Σελίδα 23
... 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 exte- rior angle BDC of ...
... 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 exte- rior angle BDC of ...
Σελίδα 27
... angle EFD ; but EFD is equal to the angle BCA ; therefore also the angle BHA is equal to the angle BCA , that is , the exterior angle BHA of the triangle AHC is equal to its interior and opposite angle BCA , which is impossible ( 16. 1 ...
... angle EFD ; but EFD is equal to the angle BCA ; therefore also the angle BHA is equal to the angle BCA , that is , the exterior angle BHA of the triangle AHC is equal to its interior and opposite angle BCA , which is impossible ( 16. 1 ...
Σελίδα 28
... angle AGH , the angle AGH is equal to the angle GHD ; and they are th alternate angles ; therefore AB is parallel ... exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the ...
... angle AGH , the angle AGH is equal to the angle GHD ; and they are th alternate angles ; therefore AB is parallel ... exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the ...
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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