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" THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite... "
The Teaching and History of Mathematics in the United States - Page 364
by Florian Cajori - 1890 - 400 pages
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...35. Therefore AB is parallel to CD. Wherefore, if a straight line &c. QED PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...and GHE are also a pair of alternate angles. PROP. XXVII. THEOREM. If a, straight line falling upon two other straight lines make the alternate angles equal to one another, these two straight lines are parallel to each other. Let the straight line EF falling upon the two...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...may be used, but not symbols of operations, such as -, +, x.] 1. What is meant by alternate angles ? If a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines shall be parallel. 2. How many sides has a figure if the sum of...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...altitude whose sides shall pass through two given points, and have its base on a given straight line. 5. If a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines shall be parallel. 6. Triangles upon the same base and between...
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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881 - 64 pages
...equal to the third angle of the other. 2. If a straight line falling on two other straight lines makes the alternate angles equal to one another, the two straight lines shall be parallel. 3. Straight lines that are parallel to the same straight line are parallel to one another. 4. Through...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...point of contact. 9. Describe an equilateral -and equiangular pentagon about a given circle. • 10. If a straight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...rectilineal angle. The three lines which bisect the angles of an equilateral triangle meet in a point. 3. If a straight line, falling on two other straight...lines, make the alternate angles equal to one another, these two straight lines will bo parallel. A line, drawn through the vertex of an isosceles triangle...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...shall be equal to three given straight lines. Is any condition necessary to make this possible ? 3. If a straight line falling on two other straight lines, make the alternate angles equal to each other, the two straight lines shall be parallel to one another. 4. If a four-sided figure has...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...three lines which bisect the angles of an equilateral triangle meet in a point. 3. If a straight lint-, falling on two other straight lines, make the alternate angles equal to one another, these two straight lines will be parallel. A line, drawn through the vertex of an isosceles triangle...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...then shall the base of the one that has the greater angle, be greater than the base of the other. 4. If a straight line falling on two other straight lines make the exterior angle equal to the interior and opposite, on the same side of the line ; then the two straight...
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