Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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... square ; on BC take any point E ; join AE and produce it to meet DC produced at F : then shall AF be greater than AC . The angle DCA is greater than the angle CFA by I. 16. The angle ACE , which is greater than a right angle , is ...
... square ; on BC take any point E ; join AE and produce it to meet DC produced at F : then shall AF be greater than AC . The angle DCA is greater than the angle CFA by I. 16. The angle ACE , which is greater than a right angle , is ...
Página 23
... square on BD is equal Hence the square on BC is less is less than the squares on BA , 127. Let BAC be a triangle , having the angle BAC obtuse : then will the square on BC be greater than the sum of the squares on BA and AC . From A ...
... square on BD is equal Hence the square on BC is less is less than the squares on BA , 127. Let BAC be a triangle , having the angle BAC obtuse : then will the square on BC be greater than the sum of the squares on BA and AC . From A ...
Página 24
... square on BC . From C draw CD to bisect AB , and CE perpendicular to AB . Then will the angles ACD , DCE , ECB be all equal . The square on AB is equal to the squares on AC and BC , that is to three times the square on BC and the square ...
... square on BC . From C draw CD to bisect AB , and CE perpendicular to AB . Then will the angles ACD , DCE , ECB be all equal . The square on AB is equal to the squares on AC and BC , that is to three times the square on BC and the square ...
Página 25
... square on half the line , except when the straight line is bisected ; so that the rectangle contained by the parts ... BC : then will the square on DA be double the square on DB . Since the straight line CD is bisected at B and produced ...
... square on half the line , except when the straight line is bisected ; so that the rectangle contained by the parts ... BC : then will the square on DA be double the square on DB . Since the straight line CD is bisected at B and produced ...
Página 26
... square o AC is less than the squares on AB and BC by twice the rectangle 6. But the squares on AC and BC are equal , by hypothesis ; therefore the square on BC is equal to twice the rectangle AC , CD . 145. See page 293 of the Euclid . 146.
... square o AC is less than the squares on AB and BC by twice the rectangle 6. But the squares on AC and BC are equal , by hypothesis ; therefore the square on BC is equal to twice the rectangle AC , CD . 145. See page 293 of the Euclid . 146.
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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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