 If three or more parallel lines intercept equal segments on one transversal, they intercept equal segments on any other transversal.  Plane Geometry - Page 94by Clara Avis Hart, Daniel D. Feldman - 1911 - 303 pagesFull view - About this book
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...secant, is measured by one-half the difference of the intercepted arcs. BOOK III 154. Theorem I. If parallel lines intercept equal segments on one transversal, they intercept equal segments on all transversals. 155. Theorem II. A parallel to one side of a triangle divides the other two sides... | |
 | George Clinton Shutts - 1905 - 260 pages
...trapezoid. Ex. 167. Take the proportion — = - by composition; ns PROPOSITION XIII. 289. Theorem. // parallel lines intercept equal segments on one transversal, they intercept equal segments on all transversals. c/jo BD Let EF, GH, etc., represent || lines intercepting equal segments EG, GI,... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...BE *' ' bisects ZB. Prove that AF and BE bisect each other. PROPOSITION XXXIV. THEOREM 208 If three parallel lines intercept equal segments on one transversal, they intercept equal segments on every transversal. HYPOTHESIS. AE and BF are transversals to the parallels AB, CD, EF, and AC = CE.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
..." ~*~~ bisects ZB. Prove that AF and BE bisect each other. PROPOSITION XXXIV. THEOREM 208 If three parallel lines intercept equal segments on one transversal, they intercept equal segments on every transversal. HYPOTHESIS. AE and BF are transversals to the parallels AB, CD, EF, and AC = CE.... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...angle of one are equal to the corresponding parts of the other. 204. If a series of parallel straight lines intercept equal segments on one transversal, they intercept equal segments on every transversal. 206. Prove that the straight line joining the midpoints of two sides of a triangle... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...GH, etc. How, if at all, does the length of AB enter into the solution? 155. THEOREM. // a series of parallel lines intercept equal segments on one transversal, they intercept equal segments on every transversal. /*1 \tt Given the parallel lines /„ /.,, /.„ /,, cutting the transversal t,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...GH, etc. How, if at all, does the length of AB enter into the solution? 155. THEOREM. // a series of parallel lines intercept equal segments on one transversal, they intercept equal segments on every transversal. u. Given the parallel lines /j, L, 1M /4, cutting the transversal f\ so that AB... | |
 | Geometry, Plane - 1911 - 192 pages
...whether his examination is in plane geometiy, solid geometry, or plane and solid geometry. 1. Prove that if three or more parallel lines intercept equal segments...one transversal, they intercept equal segments on every transversal. 2. Prove that if from a point without a circle a secant and a tangent are drawn,... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of AB? PROPOSITION XXXVIII. THEOREM 244. If three or mare parallel lines intercept equal seg* ments on one transversal, they intercept equal segments...segments GH, HJ, JK, etc., on transversal GL. To prove GH = BJ = JK, etc. ARGUMENT 1. Draw GM, HN, JR, etc. II AF. 2. Now AGMB, BHNC, CJRD, etc., are 13. 3.... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...proved: 1. A line bisecting a side of a triangle and parallel to a second side bisects the third side. 2. If three or more parallel lines intercept equal segments...one transversal, they intercept equal segments on every transversal. 3. // two parallels cut two intersecting transversals, the segments intercepted... | |
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