## Elementary geometry |

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Resultat 1-5 av 86

Side 5

In the proof it is frequently necessary to

as drawn . This is called the construction . REMARKS . A beginner often asks “

What is the use of Geometry ? ' The following remarks may perhaps help to shew

...

In the proof it is frequently necessary to

**draw**certain lines , or to conceive themas drawn . This is called the construction . REMARKS . A beginner often asks “

What is the use of Geometry ? ' The following remarks may perhaps help to shew

...

Side 40

7 . Prove fully the corollary to Theorem 19 . 8 . Enumerate the five cases in which

the equality of three parts in a pair of triangles involves the equality in all respects

. 9 . Mention cases , and

7 . Prove fully the corollary to Theorem 19 . 8 . Enumerate the five cases in which

the equality of three parts in a pair of triangles involves the equality in all respects

. 9 . Mention cases , and

**draw**the figures , 40 ELEMENTARY GEOMETRY . Side 41

Mention cases , and

respects but not in all . 10 . Prove fully the corollaries to Theorem 20 . 1 . Prove

Theorem 19 by conceiving the figure to be folded down over the line AB , O

falling ...

Mention cases , and

**draw**the figures , in which two triangles are equal in threerespects but not in all . 10 . Prove fully the corollaries to Theorem 20 . 1 . Prove

Theorem 19 by conceiving the figure to be folded down over the line AB , O

falling ...

Side 54

... parallel straight lines , and let ab , cd be their projections on any other straight

line . Then shall ab be equal to cd . . Proof . Through A , C

to abcd , meeting Bb , De in E , F . · Then because BA , AE , BE are respectively.

... parallel straight lines , and let ab , cd be their projections on any other straight

line . Then shall ab be equal to cd . . Proof . Through A , C

**draw**AE , CF parallelto abcd , meeting Bb , De in E , F . · Then because BA , AE , BE are respectively.

Side 57

regular pentagon is to the angle of a regular decagon as 3 to 4 . II . If a line is

perpendicular to another it will be perpendicular to every line parallel to it . 12 .

**Draw**a pattern consisting of octagons and squares . 10 . Shew that the angle of aregular pentagon is to the angle of a regular decagon as 3 to 4 . II . If a line is

perpendicular to another it will be perpendicular to every line parallel to it . 12 .

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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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