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" If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 27
by Euclides - 1837 - 88 pages
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 514 pages
...straight line, falling upon two other, etc. QED Proposition XXIX. Theorem. If a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, and thc exterior angle equal to the interior and opposite angle upon the same side, and also the two interior...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...is also clear that they meet towards B, D, because GB lies between GN and HD. QBD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makus the two interior angles upon the same side together equal to two right angles, and also the alternate...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...Therefore, if a straight line <5zc. QED 9—"2 PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...is equivalent to the difference of the squares of those lines. 1880. 1. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite (or remote) angle on the same side ; and also the two interior angles on the same side together equal...
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Annual Report of the Commissioners ..., Volume 50

1884 - 654 pages
...side and perpendicular of an equilateral triangle ; construct the triangle. 10 marks. 3. Prove that if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. 10 marks. •I. The sides of a triangle are 15 feet, 37 feet, and 41 feet : find the length of the...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...being entirely outside the quadrilateral ; prove lht the triangle ha the greater perimeter. 3. If a straight line fall upon two parallel straight lines, it makes the alternate an|k* equal to each other. Prove this; and state clearly the axiom upon which your proof in based,...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...BC intersect in 0: prove that the triangles OAB, OCD are each isosceles. 2. If a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side of the line, and the two...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...D, make the alternate angles equal to one another, then the two straight lines must be parallel. 16. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...PROPOSITION 2g. THEOREM. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another , and the exterior angle equal to the interior opposite angle on the same side; and also the two interior angles on the same side equal to turn ril/ht...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...therefore AB is parallel to CD (Proposition 27). AXIOM PROPOSITION 29. THEOREM If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another,and the exterior angle equal to the interior and opposite angle on the same side ; and also...
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