## Elementary geometry |

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Resultat 6-10 av 84

Side 25

Nor is AC

. 10 . ) Therefore AC is greater than AB * . Q . E . D . THEOREM 12 . Any two sides

of a triangle are together greater than the third side . Part . En . Let ABC be a ...

Nor is AC

**less**than AB , for then the angle B would be**less**than the angle C . ( Th. 10 . ) Therefore AC is greater than AB * . Q . E . D . THEOREM 12 . Any two sides

of a triangle are together greater than the third side . Part . En . Let ABC be a ...

Side 26

If from the ends of the side of a triangle two straight lines be drawn to a point

within the triangle , these shall be

but shall contain a greater angle . Part . En . Let ACB be a triangle , and from the

ends ...

If from the ends of the side of a triangle two straight lines be drawn to a point

within the triangle , these shall be

**less**than the other two sides of the triangle ,but shall contain a greater angle . Part . En . Let ACB be a triangle , and from the

ends ...

Side 28

The angle BAC must be either equal to EDF , or greater than EDF , or

EDF . But BAC is not greater than EDF ; for then the base BC would be greater

than the base EF . ( Th . 14 . ) Nor is BAC

The angle BAC must be either equal to EDF , or greater than EDF , or

**less**thanEDF . But BAC is not greater than EDF ; for then the base BC would be greater

than the base EF . ( Th . 14 . ) Nor is BAC

**less**than EDF ; for then the base BC ... Side 30

For the angle BAC must either be equal to the angle DEF , or

DEF , or greater than the angle DEF . But the angle BAC is not equal to the angle

DEF , : for then the base BC would be equal to the base DF ; but it is not ( Th . 5 . )

...

For the angle BAC must either be equal to the angle DEF , or

**less**than the angleDEF , or greater than the angle DEF . But the angle BAC is not equal to the angle

DEF , : for then the base BC would be equal to the base DF ; but it is not ( Th . 5 . )

...

Side 32

Any two angles of a triangle are together

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

ACB are together

Any two angles of a triangle are together

**less**than two right angles . Part . 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 . Proof . Produce the side BC to D ...### Hva folk mener - Skriv en omtale

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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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