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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 13
... 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 ...
Página 14
... angle ACD is greater than either of the interior opposite angles CBA , BAC . Join B and E the middle point of the ... exterior angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle ABC ; to each of ...
... angle ACD is greater than either of the interior opposite angles CBA , BAC . Join B and E the middle point of the ... exterior angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle ABC ; to each of ...
Página 15
... angle ABC is also greater than the angle BCA . A D Make AD equal to AB , and join BD : and because ADB is the exterior angle of the triangle BDC , it is greater ( 9. 1. ) than the interior and opposite angle DCB ; but ADB is equal ( 3 ...
... angle ABC is also greater than the angle BCA . A D Make AD equal to AB , and join BD : and because ADB is the exterior angle of the triangle BDC , it is greater ( 9. 1. ) than the interior and opposite angle DCB ; but ADB is equal ( 3 ...
Página 16
... exterior angle of a triangle ( 9. 1. ) is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason ... angle EDG equal to the angle BAC : and make DG 16 ELEMENTS.
... exterior angle of a triangle ( 9. 1. ) is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason ... angle EDG equal to the angle BAC : and make DG 16 ELEMENTS.
Página 19
... exterior angle AEF is greater ( 9. 1. ) than the interior and opposite angle EFG ; but it is also equal to it , which is impossible : therefore , AB and CD being produced , do not meet towards B , D. In like manner it may be ...
... exterior angle AEF is greater ( 9. 1. ) than the interior and opposite angle EFG ; but it is also equal to it , which is impossible : therefore , AB and CD being produced , do not meet towards B , D. In like manner it may be ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore