## Elementary geometry |

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Resultat 1-5 av 34

Side 8

A

Def . 10 . A diameter of a circle is a straight line drawn through the centre and

terminated both ways by the circumference . Def . 11 . When two straight lines are

...

A

**radius**of a circle is a straight line drawn from the centre to the circumference .Def . 10 . A diameter of a circle is a straight line drawn through the centre and

terminated both ways by the circumference . Def . 11 . When two straight lines are

...

Side 11

A circle may be described from any centre , with a

straight line . It will be seen that these postulates amount to a request to use the

straight edge of a ruler , and a pair of compasses ; the latter being such that a

distance ...

A circle may be described from any centre , with a

**radius**equal to any finitestraight line . It will be seen that these postulates amount to a request to use the

straight edge of a ruler , and a pair of compasses ; the latter being such that a

distance ...

Side 61

With centre A , and any

centre C , and the same

circle on the side of AC remote from B in D . Join AD , CD , and BD ; BD bisects

the ...

With centre A , and any

**radius**greater than half AC , describe a circle , and withcentre C , and the same

**radius**, describe another circle intersecting the formercircle on the side of AC remote from B in D . Join AD , CD , and BD ; BD bisects

the ...

Side 62

With centre C and any

D , E , so that CD = CE . With centre D , and any

describe a circle , and with centre E and the same

With centre C and any

**radius**describe a circle to cut the straight line in two pointsD , E , so that CD = CE . With centre D , and any

**radius**ADO B greater than DC ,describe a circle , and with centre E and the same

**radius**describe a circle ... Side 63

With centre À describe a circle with any sufficient

, E . BD Bisect the angle DAE by the line AF . ( Prob . 1 . ) Then AF shall be

perpendicular to BC . Proof . In the triangles AFD , AFE , because AD = AE , (

Constr . ) ...

With centre À describe a circle with any sufficient

**radius**to cut BC in two points D, E . BD Bisect the angle DAE by the line AF . ( Prob . 1 . ) Then AF shall be

perpendicular to BC . Proof . In the triangles AFD , AFE , because AD = AE , (

Constr . ) ...

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ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given line given point given straight line greater half Hence Illustrations inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

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