Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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Página 1
... common to the two tri- angles 40E and BOE ; and the angle AOE is equal to the angle BOE by Axiom 11. Therefore EA is ... common to the two triangles FAH and GAH ; and FH is equal to GH , by Exercise 6 : therefore the angle FAH is equal ...
... common to the two tri- angles 40E and BOE ; and the angle AOE is equal to the angle BOE by Axiom 11. Therefore EA is ... common to the two triangles FAH and GAH ; and FH is equal to GH , by Exercise 6 : therefore the angle FAH is equal ...
Página 2
... common ; and the two sides BA , AD are equal to the two sides BC , CD , each to each ; therefore the angle BAD is equal to the angle BCD , by I. 8. Similarly it may be shewn that the angle ABC is equal to the angle ADC . 11. Let ABCD be ...
... common ; and the two sides BA , AD are equal to the two sides BC , CD , each to each ; therefore the angle BAD is equal to the angle BCD , by I. 8. Similarly it may be shewn that the angle ABC is equal to the angle ADC . 11. Let ABCD be ...
Página 5
... common ; the angle DAE is equal to the angle DAF , by hypothesis ; and the right angles DEA and DFA are equal : therefore DE is equal to DF by I. 26 . 29. Let AB be the given straight line in which the point is to be found . Let CD and ...
... common ; the angle DAE is equal to the angle DAF , by hypothesis ; and the right angles DEA and DFA are equal : therefore DE is equal to DF by I. 26 . 29. Let AB be the given straight line in which the point is to be found . Let CD and ...
Página 7
... common ; the angle EAD is equal to the angle FAD , by construction ; the angle EDA is equal to the angle DAF , and the angle FDA to the angle DAE , by I. 29 ; so that the angle EDA is equal to the angle FDA ; hence the two triangles are ...
... common ; the angle EAD is equal to the angle FAD , by construction ; the angle EDA is equal to the angle DAF , and the angle FDA to the angle DAE , by I. 29 ; so that the angle EDA is equal to the angle FDA ; hence the two triangles are ...
Página 8
... common ; the right angle AFB is equal to the right angle CEB : therefore the third angle BAF is equal to the third angle BCE , by I. 32. Similarly the angle CAF is equal to the angle CBD . 46. AC is equal to CE , and BC is equal to CD ...
... common ; the right angle AFB is equal to the right angle CEB : therefore the third angle BAF is equal to the third angle BCE , by I. 32. Similarly the angle CAF is equal to the angle CBD . 46. AC is equal to CE , and BC is equal to CD ...
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ABCD AC and BD AC is equal angle ABC angle ACB angle BAC angle CAB bisects the angle Cambridge centre chord circle described circumference Crown 8vo describe a circle diameter draw a straight Edition equal to BC equal to four equal to half equal to twice equiangular Euclid Exercise 176 Extra fcap fcap fore given circle given point given straight line greater half a right half the angle Hence Let ABC meeting BC middle point Owens College parallel to BC parallelogram perpendicular plane Professor quadrilateral radius equal rectangle rhombus right angles segment shewn side BC square on BC straight line parallel suppose tangent touch the circle triangle ABC twice the angle twice the rectangle twice the squares
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