## Elementary geometry |

### Inni boken

Resultat 1-5 av 18

Side 10

Def . 24 . A polygon is said to be

that is , when all its sides and angles are equal . Def . 25 . A diagonal is the

straight line joining the vertices of any angles of a polygon which have not a

common ...

Def . 24 . A polygon is said to be

**regular**when it is equilateral and equiangular ;that is , when all its sides and angles are equal . Def . 25 . A diagonal is the

straight line joining the vertices of any angles of a polygon which have not a

common ...

Side 15

... of four right angles . 6 . Twelve lines meet at a point so as to form a

twelve - rayed star : find the angle between consecutive rays . * Eucl . I . 15 . +

Eucl . 1 . 15 . Cor . 7 . If four straight lines 0A , OB , Sect . I . ] ANGLES AT A POINT

. 15.

... of four right angles . 6 . Twelve lines meet at a point so as to form a

**regular**twelve - rayed star : find the angle between consecutive rays . * Eucl . I . 15 . +

Eucl . 1 . 15 . Cor . 7 . If four straight lines 0A , OB , Sect . I . ] ANGLES AT A POINT

. 15.

Side 57

Find the magnitude of the angle of a

equiangular triangles can be placed so as to have one common angular point ,

and fill up the space round it ? 8 . Shew that three

placed ...

Find the magnitude of the angle of a

**regular**octagon . ( Th . 26 . ) 7 . How manyequiangular triangles can be placed so as to have one common angular point ,

and fill up the space round it ? 8 . Shew that three

**regular**hexagons can beplaced ...

Side 58

The exterior angle of a

number of sides in the polygon , 17 . Two lines intersecting in A are respectively

perpendicular to two lines intersecting in B : prove that any angle at A is equal or

...

The exterior angle of a

**regular**polygon is one - third of a right angle : find thenumber of sides in the polygon , 17 . Two lines intersecting in A are respectively

perpendicular to two lines intersecting in B : prove that any angle at A is equal or

...

Side 57

Find the magnitude of the angle of a

equiangular triangles can be placed so as to have one common angular point ,

and fill up the space round it ? 8 . Shew that three

Find the magnitude of the angle of a

**regular**octagon . ( Th . 26 . ) : 7 . How manyequiangular triangles can be placed so as to have one common angular point ,

and fill up the space round it ? 8 . Shew that three

**regular**hexagons can be ...### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

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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