Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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Página 2
... draw a straight line at right angles to CD , meeting AB at F. Join CF , DF . Then CF shall be equal to DF . For in the two triangles CEF and DEF , the side EF is common , CF is equal to DE , and the right angle CEF is equal to the right ...
... draw a straight line at right angles to CD , meeting AB at F. Join CF , DF . Then CF shall be equal to DF . For in the two triangles CEF and DEF , the side EF is common , CF is equal to DE , and the right angle CEF is equal to the right ...
Página 3
... draw OC perpendicular to AB ; then OC shall be shorter than any other straight line OD drawn from 0 to AB . For the ... drawn from 0 to AB , and more remote from OC than OD is : OD shall be less than OE . For the angle ODC is greater ...
... draw OC perpendicular to AB ; then OC shall be shorter than any other straight line OD drawn from 0 to AB . For the ... drawn from 0 to AB , and more remote from OC than OD is : OD shall be less than OE . For the angle ODC is greater ...
Página 4
... drawn from 0 to AB equal to OD , besides OF . For if this straight line were nearer to OC than OD or OF is it would ... Draw the diagonals AC and BD . Then AB and BC are greater than AC , and AD and DC are greater than AC ; therefore the ...
... drawn from 0 to AB equal to OD , besides OF . For if this straight line were nearer to OC than OD or OF is it would ... Draw the diagonals AC and BD . Then AB and BC are greater than AC , and AD and DC are greater than AC ; therefore the ...
Página 5
... drawn , and B and C the other given points from which perpendiculars are to be drawn . Join BC , and bisect it at D ; join AD : this shall be the required straight line . For draw BE and CF perpendicular to AD , produced if necessary ...
... drawn , and B and C the other given points from which perpendiculars are to be drawn . Join BC , and bisect it at D ; join AD : this shall be the required straight line . For draw BE and CF perpendicular to AD , produced if necessary ...
Página 6
... Draw any straight line parallel to BC , meeting AB at D , and AC at E ; then the angle ADE shall be equal to the angle ... drawn through O to meet the parallels at right angles , and this straight line will be bisected at O because O is ...
... Draw any straight line parallel to BC , meeting AB at D , and AC at E ; then the angle ADE shall be equal to the angle ... drawn through O to meet the parallels at right angles , and this straight line will be bisected at O because O is ...
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Términos y frases comunes
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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