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" When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right... "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page vii
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...if a transversal make (i) a pair of alternate angles equal, or (ii) a pair of corresponding angles equal, or (iii) a pair of interior angles on the same side of the transversal together equal to two right angles. (i) Let the straight lines AB, CD be cut by the transversal...
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...intersect, the vertically opposite angles are equal 18 Chapter 4. PARALLEL STRAIGHT LINES 2<, When a straight line cuts two other straight lines, if (i) a pair of corresponding angles are equal (p. 21), or (ii) a pair of alternate angles are equal (p. 22), or (iii)...
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Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons

480 pages
...four right angles. If two straight lines intersect, the vertically opposite angles are equal. When a straight line cuts two other straight lines, if (i) a pair of corresponding angles are equal, or (ii) a pair of alternate angles are equal, or (Hi) a pair of interior...
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