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" If three or more parallels intercept equal parts on one transversal, they intercept equal parts on every transversal. Given the parallels AB, CD, and EF intercepting equal parts on the transversal MN. "
Plane Geometry - Page 119
by William Betz, Harrison Emmett Webb - 1912 - 332 pages
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...the included angle of the other. 186. Two rectangles having equal bases and altitudes are equal. 187. If three or more parallels intercept equal parts on...transversal, they intercept equal parts on every transversal. 188. If a line is parallel to the base of a triangle and bisects one side, it bisects the other side...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...in only one point). .'. the two IS coincide, and are equal. QED PROPOSITION XXXVIII. THEOREM. 187. If three or more parallels intercept equal parts on...transversal, they intercept equal parts on every transversal. E G Let the parallels AH, BK, CM, DP intercept equal parts HK, KM, MP on the transversal HP. To prove...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...in only one point). .'. the two £0 coincide, and are equal. QED PROPOSITION XXXVIII. THEOREM. 187. If three or more parallels intercept equal parts on...transversal, they intercept equal parts on every transversal. fl K/ \ \K AE \ m Let the parallels AH, BK, CM, DP intercept equal parts HK, KM, MP on the transversal...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...in only one point). .'. the two UJ coincide, and are equal. QED PROPOSITION XXXVIII. THEOREM. 187. If three or more parallels intercept equal parts on one transversal, they intercept equal f>arts on every transversal. Let the parallels AH, BK, CM, DP intercept equal parts HK, EM, MP on the...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...the figure is a parallelogram. 186. Two rectangles having equal bases and altitudes are equal. 187. If three or more parallels intercept equal parts on...transversal, they intercept equal parts on every transversal. 188. If a line is parallel to the base of a triangle and bisects one side, it bisects the other side...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...of an equiangular hexagon ? octagon ? decagon ? MISCELLANEOUS THEOREMS PROPOSITION XL. THEOREM 176. If three or more parallels intercept equal parts on...intercept equal parts on every transversal. Given AP, BQ, CR and DT parallel lines intercepting: equal parts AB, BC and CD on the transversal AD. To...
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Bulletin

Education - 1904 - 738 pages
...straight line intersects another division straight line the vertical angles are equal. a Prove that if three or more parallels intercept equal parts on...transversal, they intercept equal parts on every transversal. 3 Prove that in the same circle or in equal circles equal central angles intercept equal arcs. 4 Prove...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...in only one point). .'. the two UJ coincide, and are equal. QED PROPOSITION XXXVIII. THEOREM. 187. If three or more parallels intercept equal parts on...transversal, they intercept equal parts on every transversal. AF D/ \ Let the parallels AH, BK, CM, DP intercept equal parts HK, KM, MP on the transversal HP. To...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...exterior angles of a polygon formed by producing its sides in succession equals four right angles. 176. // three or more parallels intercept equal parts on one...transversal, they intercept equal parts on every transversal. 177. The line which joins the midpoints of two sides of a triangle is parallel to the third side, and...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...contains how many degrees t of an equiangular hexagon ? octagon ? decagon ? MISCELLANEOD^THEOREMS 176. If three or more parallels intercept equal parts on...one transversal, they intercept equal parts on every trans; Vfscl. Given AP, BQ, CR and DT parallel lines intercepting equal parts AB, BC and CD on the...
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