## Elementary geometry |

### Inni boken

Resultat 1-5 av 44

Side 43

En . Let

alternate angle BCH ; it is required to prove that EF is parallel to GH . Proof . For if

EF and GH meet towards F , H , they would form a triangle with BC ; and EBC

would ...

En . Let

**ABCD**intersect EF and GH , and make the angle EBC equal to itsalternate angle BCH ; it is required to prove that EF is parallel to GH . Proof . For if

EF and GH meet towards F , H , they would form a triangle with BC ; and EBC

would ...

Side 44

En . Let EF and GH be parallel straight lines , and let

required to prove that the alternate angles EBC , BCH are equal . E Proof . For if

EBC were not equal to BCH , let some other line LBM be drawn through B

making ...

En . Let EF and GH be parallel straight lines , and let

**ABCD**intersect them ; it isrequired to prove that the alternate angles EBC , BCH are equal . E Proof . For if

EBC were not equal to BCH , let some other line LBM be drawn through B

making ...

Side 45

En . Let the straight line

the alternate angles EBC , BCH equal ; then will the other alternate angles FBC ,

BCG be equal , and the four pairs of corresponding angles be equal , and the ...

En . Let the straight line

**ABCD**intersect the two straight lines EF , GH , and makethe alternate angles EBC , BCH equal ; then will the other alternate angles FBC ,

BCG be equal , and the four pairs of corresponding angles be equal , and the ...

Side 51

En . Let

BC ; it is required to prove that AB ist equal to DC , and AD to BC . Proof . Join AC

. Then because AB is parallel to DC , and AC meets them ; ( Hyp . ) therefore the

...

En . Let

**ABCD**be a parallelogram , that is , let AB be parallel to CD , and AD toBC ; it is required to prove that AB ist equal to DC , and AD to BC . Proof . Join AC

. Then because AB is parallel to DC , and AC meets them ; ( Hyp . ) therefore the

...

Side 52

En . Let

, BC of the one equal respectively to two adjoining sides EF , FG of the other , and

have likewise the included angles B and F equal ; it is required to prove that ...

En . Let

**ABCD**, EFGH be two parallelograms which have two adjoining sides AB, BC of the one equal respectively to two adjoining sides EF , FG of the other , and

have likewise the included angles B and F equal ; it is required to prove that ...

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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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