## Elementary geometry |

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Side 1

The science of Geometry is

being assumed as obviously true , the remaining truths of the science are

deduced from them by reasoning Propositions admitted without demonstration

are ...

The science of Geometry is

**called**deductive , because certain fundamental truthsbeing assumed as obviously true , the remaining truths of the science are

deduced from them by reasoning Propositions admitted without demonstration

are ...

Side 4

... Suppose that in a town there were only one post - office and only one grocer ' s

: and that it was known that the post - office was the grocer ' s ; then it would

follow that the grocer ' s was the post - office . This is

unique ...

... Suppose that in a town there were only one post - office and only one grocer ' s

: and that it was known that the post - office was the grocer ' s ; then it would

follow that the grocer ' s was the post - office . This is

**called**the axiom of theunique ...

Side 5

This is

use of Geometry ? ' The following remarks may perhaps help to shew him part at

least of the use of it . What is Geometry ? What is the object of the science ?

This is

**called**the construction . REMARKS . A beginner often asks “ What is theuse of Geometry ? ' The following remarks may perhaps help to shew him part at

least of the use of it . What is Geometry ? What is the object of the science ?

Side 8

A circle is a plane figure contained by one line , which is

, and is such that all straight lines drawn from a certain point within the figure to

the circumference are equal to one another . This point is

...

A circle is a plane figure contained by one line , which is

**called**the circumference, and is such that all straight lines drawn from a certain point within the figure to

the circumference are equal to one another . This point is

**called**the centre of the...

Side 9

13 . The bisector of an angle is the straight line that divides it into two equal

angles . Def . 14 . When one straight line stands upon another straight line and

makes the adjacent angles equal , each of the angles is

OBS .

13 . The bisector of an angle is the straight line that divides it into two equal

angles . Def . 14 . When one straight line stands upon another straight line and

makes the adjacent angles equal , each of the angles is

**called**a right angle .OBS .

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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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