Alternate angles
two nonadjacent angles made by the crossing of two lines by a third line, both angles being either interior or exterior, and being on opposite sides of the third line.
Historical Examples
Euclid introduced the subject by the proposition that, if alternate angles are equal, the lines are parallel.
The Teaching of Geometry David Eugene Smith
And “if the lines are parallel, are alternate angles necessarily equal?”
Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 Various
The sides of the octagon are equal, and the alternate angles coincident.
The Prehistoric World E. A. Allen
We may now state Prop. 16 thus:—If two straight lines which meet are cut by a transversal, their alternate angles are unequal.
Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 Various
That is to say, “If alternate angles are unequal, do the lines meet?”
Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 Various
Frustules oblong or quadrate, adnate in filaments, attached by alternate angles and finally separating.
The Diatomaceae of Philadelphia and Vicinity Charles Sumner Boyer
plural noun
two angles at opposite ends and on opposite sides of a transversal cutting two lines
alternate angles
Two angles formed on opposite sides of a line that crosses two other lines. The angles are both exterior or both interior, but not adjacent.
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