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In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.

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ユークリッドの幾何学、平行四辺形は平行側面の 2 つのペアを持つ単純な (非自己-交差) 四角形です。平行四辺形の反対や直面している側面は等しい長さの平行四辺形の反対の角度は等しい測定の。反対側の角度の反対の合同はユークリッドの直接の結果

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In Euclidean geometry, a parallelogram has 2 pairs of parallel sides a simple (non-self-intersecting) is a rectangle. Parallelogram opposite or facing sides equal the opposite angles of a parallelogram equal-length measurements. Opposite of joint angle on the other side is a direct result of Euclid

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ユークリッドの幾何学の平行四辺形は、2 組の平行側面の単純な四角形は、(非自己-交差)。平行四辺形の反対や直面している側面は等しい平行四辺形の等しい長さの測定の反対の角度です。反対側の関節角度の反対はユークリッドの互除法の直接の結果

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Parallelogram in Euclidean geometry, the two pairs of parallel sides a simple rectangle, (non-self-intersecting). Parallelogram opposite or facing sides is opposite angle measurement of equal-length equal parallelograms. Opposite of joint angle on the other side is a direct result of Euclid's

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ユークリッドの幾何学、並列の 2 組の平行四辺形の側面単純な四角形 (非自己-交差)。平行四辺形の反対側または直面している側面は等しい長さの等しい平行四辺形の反対の角度の測定です。反対側の関節角度の反対はユークリッドの直接の結果

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Side a simple rectangle parallelogram in Euclidean geometry, parallel two (non-self-intersecting). Parallelogram opposite or facing side is a measurement of the opposite angles of equal length equal parallelograms. Direct result of Euclid's opposite the angle on the other side

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(非-自己-交差) ユークリッドの幾何学、平行 2 つの単純な四角形の平行四辺形を側面します。平行四辺形の反対側は、同じ長さの等しい平行四辺形の反対の角度の測定。反対側の角度の反対のユークリッドの直接的な結果

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(Non - self - intersecting) the parallelogram of a simple square of Euclidean geometry, two parallel sides. Opposite side of the parallelogram is equal parallelograms equal opposite angle measurement. A direct result of the opposite angle on the other side of Euclid

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(- 自己 - 非交差) ユークリッド幾何学、2 つの平行側面の単純な四角形の平行四辺形。平行四辺形の反対側は、等しい平行四辺形を角度測定の反対側あります。ユークリッドの互除法の反対側に反対の角度の直接の結果

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(- Self - non-crossing) a simple square of Euclidean geometry, the two parallel sides of the parallelogram. Opposite side of the parallelogram opposite the angle measure equal parallelograms. On the other side of Euclid's result directly opposite angles

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(自己 - 非交差) ユークリッド幾何学の単純な四角形、平行四辺形の 2 つの平行側面。反対の角度測定の等しい平行四辺形平行四辺形の反対側。角度の真向かいのユークリッドの互除法の結果の反対側

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(Self-non-crossing) in Euclidean geometry a simple rectangle, parallelogram two parallel sides. Angle measurement of opposite equal parallel quadrilateral parallelogram opposite. Other side of the angle of Euclid's result

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(自己-非交差) ユークリッド幾何学の単純な四角形、平行四辺形の 2 つの平行側面で。逆等しい平行四辺形平行四辺形の反対の角度の測定。ユークリッドの互除法の結果の角度の反対側

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(Self-non-crossing) in Euclidean geometry a simple rectangle, parallelogram two parallel sides. The measurement of the opposite angles of quadrilateral parallelogram opposite equal parallel. Other side of the angle of Euclid's result

INTO JAPANESE

(自己-非交差) ユークリッド幾何学の単純な四角形、平行四辺形の 2 つの平行側面で。反対の等しい平行四辺形平行四辺形の反対の角度の測定。ユークリッドの互除法の結果の角度の反対側

BACK INTO ENGLISH

(Self-non-crossing) in Euclidean geometry a simple rectangle, parallelogram two parallel sides. The measurement of the opposite angles opposite equal parallel quadrilateral parallelogram. Other side of the angle of Euclid's result

INTO JAPANESE

(自己-非交差) ユークリッド幾何学の単純な四角形、平行四辺形の 2 つの平行側面で。等しい平行四辺形平行四辺形の反対の反対の角度の測定。ユークリッドの互除法の結果の角度の反対側

BACK INTO ENGLISH

(Self-non-crossing) in Euclidean geometry a simple rectangle, parallelogram two parallel sides. The measurement of the opposite angles opposite equal parallel quadrilateral parallelogram. Other side of the angle of Euclid's result