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单词 Similar triangles
释义

Similar triangles

中文百科

相似 (几何) Similarity (geometry)

(重定向自Similar triangles)

数学上,相似指两个图形的形状完全相同。

严格来说,若存在两个点的集,其中一个能透过放大缩小、平移或旋转等方式变成另一个,就说它们相似

两个图形相似,可以以一个「~」符号连接它们,例如若三角形ABC和DEF相似便可这样表示: \triangle ABC \sim \triangle DEF

相似的特例是全等。

英语百科

Similarity (geometry) 相似 (几何)

(重定向自Similar triangles)
Figures shown in the same color are similar
Sierpiński triangle. A space having self-similarity dimension log 3/log 2 = log23, which is approximately 1.58. (From Hausdorff dimension.)

Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or shrinking), possibly with additional translation, rotation and reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other. A modern and novel perspective of similarity is to consider geometrical objects similar if one appears congruent to the other when zoomed in or out at some level.

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更新时间:2025/6/19 22:03:55