## Elementary geometry |

### Inni boken

Resultat 1-5 av 59

Side 5

If I want to

the bottom , and then measure the string ; but this is not geometry , though it is

measurement . Geometry is the science of indirect measurement ; in which , for ...

If I want to

**find**the height of a tower , I may go to the top , and let a string down tothe bottom , and then measure the string ; but this is not geometry , though it is

measurement . Geometry is the science of indirect measurement ; in which , for ...

Side 6

Again in Theorem 7 , let A be a post on one bank of a river , B , C two posts on the

opposite bank ; it is required to

Measure BC , ( which you can do , as they are both on the same bank , ) and put

up ...

Again in Theorem 7 , let A be a post on one bank of a river , B , C two posts on the

opposite bank ; it is required to

**find**the distance across the river from B to A .Measure BC , ( which you can do , as they are both on the same bank , ) and put

up ...

Side 15

... form two straight lines . 4 . If five lines meet at a point and make equal angles

with one another all round that point , each of the angles is four - fifths of a right

angle . 5 . Of two supplementary angles the greater is double of the less ;

what ...

... form two straight lines . 4 . If five lines meet at a point and make equal angles

with one another all round that point , each of the angles is four - fifths of a right

angle . 5 . Of two supplementary angles the greater is double of the less ;

**find**what ...

Side 16

Prove that the bisectors of the four angles which one straight line makes with

another form two straight lines at right angles to one another . 11 . If four lines AO

, BO ...

**Find**the angle between the bisectors of adjacent complementary angles . 10 .Prove that the bisectors of the four angles which one straight line makes with

another form two straight lines at right angles to one another . 11 . If four lines AO

, BO ...

Side 17

Shew how to

their sum and difference together are double of the greater of the two straight

lines . II . Given the sum and difference of two straight lines ;

the ...

Shew how to

**find**the sum and difference of two straight lines : and prove thattheir sum and difference together are double of the greater of the two straight

lines . II . Given the sum and difference of two straight lines ;

**find**the lengths ofthe ...

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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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