## Elementary geometry |

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Resultat 6-10 av 40

Side 60

... any combination of ruler and compasses . It may be observed that the ruler is

simply a straight edge , not graduated , and the compasses are supposed to be

transferable from one part of the figure to another , the

points ...

... any combination of ruler and compasses . It may be observed that the ruler is

simply a straight edge , not graduated , and the compasses are supposed to be

transferable from one part of the figure to another , the

**distance**between thepoints ...

Side 71

For example , if the problem is to find a point at a given

point , it is plain that all the points in the circumference of a circle , described with

that point as centre and the given

again ...

For example , if the problem is to find a point at a given

**distance**from a givenpoint , it is plain that all the points in the circumference of a circle , described with

that point as centre and the given

**distance**as radius , fulfil this condition . Oragain ...

Side 72

The locus of a point at a given

a circle having a radius equal to the given

given point . ii . The locus of a point at a given

The locus of a point at a given

**distance**from a given point is the circumference ofa circle having a radius equal to the given

**distance**and having its centre at thegiven point . ii . The locus of a point at a given

**distance**from a given straight line ... Side 74

Find the following loci :( 1 ) Of a point at a given

Of a point at a given

from a given circle . ( 4 ) A horse is tethered by a chain fastened to a ring which ...

Find the following loci :( 1 ) Of a point at a given

**distance**from a given point . ( 2 )Of a point at a given

**distance**from a given line . ( 3 ) Of a point at a given**distance**from a given circle . ( 4 ) A horse is tethered by a chain fastened to a ring which ...

Side 75

The two conditions are that the lengths of the two sides are given ; the point

sought for is the vertex : now the vertex must be at a certain

of the given lengths ; its locus is therefore a certain circle round A as centre .

The two conditions are that the lengths of the two sides are given ; the point

sought for is the vertex : now the vertex must be at a certain

**distance**from A = oneof the given lengths ; its locus is therefore a certain circle round A as centre .

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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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