## Elementary geometry |

### Inni boken

Resultat 1-5 av 83

Side 13

I . At a

drawn to that line . Cor . 2 . The complements of equal angles are equal . Cor . 3 .

The supplements of equal angles are equal . THEOREM 2 . If a straight line

stands ...

I . At a

**given point**in a given straight line there can be only one perpendiculardrawn to that line . Cor . 2 . The complements of equal angles are equal . Cor . 3 .

The supplements of equal angles are equal . THEOREM 2 . If a straight line

stands ...

Side 16

If four straight lines 0A , OB , OC , OD meet at

= DOA , prove that AOC , BOD are straight ... If four lines AO , BO , CO , DO meet

at

If four straight lines 0A , OB , OC , OD meet at

**a point**, and AOB = COD , and BOC= DOA , prove that AOC , BOD are straight ... If four lines AO , BO , CO , DO meet

at

**a point**0 , and the angles AOB , COD are given equal , and also AO , CO are ... Side 32

En . Let ABC be a triangle , it is required to prove that any two of its angles ABC

and ACB are together less than two right angles . ... From a

given straight line , only one perpendicular can be drawn to that straight line .

En . Let ABC be a triangle , it is required to prove that any two of its angles ABC

and ACB are together less than two right angles . ... From a

**given point**outside agiven straight line , only one perpendicular can be drawn to that straight line .

Side 33

Of all the straight lines that can be drawn from a

straight line , the perpendicular is the shortest ; and of the others , those making

equal angles with the perpendicular are equal ; and that which makes a greater

angle ...

Of all the straight lines that can be drawn from a

**given point**to meet a givenstraight line , the perpendicular is the shortest ; and of the others , those making

equal angles with the perpendicular are equal ; and that which makes a greater

angle ...

Side 34

A R Q P S Lastly , let OR make a greater angle with the perpendicular than OQ ; it

is required to prove that OR is greater than OQ . Because O QR ... Not more than

two equal straight lines can be drawn from a

A R Q P S Lastly , let OR make a greater angle with the perpendicular than OQ ; it

is required to prove that OR is greater than OQ . Because O QR ... Not more than

two equal straight lines can be drawn from a

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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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