Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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Página 1
... equal to DE , describe a circle ; with Band radius equal to DE , describe another circle ; let these circles at C. Join AC and BC ; then ABC will be the triangle required . The given point and the vertex of the constructed triangle both ...
... equal to DE , describe a circle ; with Band radius equal to DE , describe another circle ; let these circles at C. Join AC and BC ; then ABC will be the triangle required . The given point and the vertex of the constructed triangle both ...
Página 2
... equal to the angle BAD . Therefore AO is equal to BO by I. 6 . 10. Let ABCD be the rhombus , so that AB , BC , CD , DA are all equal . Join BD . Then in the two triangles BAD , BCD the base BD is common ; and the two sides BA , AD are ...
... equal to the angle BAD . Therefore AO is equal to BO by I. 6 . 10. Let ABCD be the rhombus , so that AB , BC , CD , DA are all equal . Join BD . Then in the two triangles BAD , BCD the base BD is common ; and the two sides BA , AD are ...
Página 4
... equal to CD , and on the other side of C ; join OF . Then OF is equal to OD by I. 4. And no other straight line can ... BC , and OC and OA are together greater than CA , by I. 20. Hence twice the sum of OA , OB , and OC is greater than the ...
... equal to CD , and on the other side of C ; join OF . Then OF is equal to OD by I. 4. And no other straight line can ... BC , and OC and OA are together greater than CA , by I. 20. Hence twice the sum of OA , OB , and OC is greater than the ...
Página 6
... equal in all respects ; therefore the triangles ABC , DEF are equal in all respects . I. 27 to 31 . 34. Let ABC be a triangle having the sides AB and AC equal . Draw any straight line parallel to BC , meeting AB at D , and AC at E ...
... equal in all respects ; therefore the triangles ABC , DEF are equal in all respects . I. 27 to 31 . 34. Let ABC be a triangle having the sides AB and AC equal . Draw any straight line parallel to BC , meeting AB at D , and AC at E ...
Página 7
... BC at D. From D draw a straight line parallel to AB , meeting AC at F , and also a straight line parallel to AC , meeting AB at E : then DE shall be equal to DF . For in the triangles AED , AFD the side AD is common ; the angle EAD is equal ...
... BC at D. From D draw a straight line parallel to AB , meeting AC at F , and also a straight line parallel to AC , meeting AB at E : then DE shall be equal to DF . For in the triangles AED , AFD the side AD is common ; the angle EAD is equal ...
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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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