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" IF a straight line fall upon two parallel straight lines it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite, upon the same side ; and likewise the two interior angles upon the same side together... "
The Elements of Euclid: viz. the first six books, together with the eleventh ... - Page 26
by Robert Simson - 1835 - 513 pages
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Studies in Deductive Logic: A Manual for Students, by W. Stanley Jevons

William Stanley Jevons - Logic - 1896 - 344 pages
...shall at length meet upon that side on which are the angles which are less than two right angles. makes the two interior angles upon the same side together equal to two right angles ? [R.] 30. From 'Some members of Parliament are all the ministers' (Elementary Lessons, p. 325, No....
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...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 angles. Let the straight line EF fall on the two parallel straight lines AB, CD; then the alternate angles AGH, GHD shall be equal to one...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 582 pages
...alternate angles equal ; and the exterior angle equal to the interior and opposite upon the same side ; and the two interior angles upon the same side together equal to two right angles. 4. AD, BC, are two parallel straight lines cut obliquely by AB and perpendicularly by AC. BED is drawn...
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Euclid, Book 1

Euclid, Rupert Deakin - Euclid's Elements - 1903 - 218 pages
...angle equal to the interior opposite angle on the same side of the line, and the two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel straight lines AB, CD; then it shall make (1) the angle AGH equal to the alternate...
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Annual Report of the Commissioners ..., Volume 71

1905 - 614 pages
...the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior...the same side together equal to two right angles. 4. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and...
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Annual Report of the Commissioners ..., Volume 70

1905 - 946 pages
...one another ; (2) the exterior angle equal to the interior and remote upon the same side ; and (3) the two interior angles upon the same side together equal to two right angles. Prove. 3. Parallelograms on equal bases and between the same parallels are equal. 4. Prove that the...
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...exterior angle equal to the interior and remote, upon the same side of that line; and (2) if it make the interior angles upon the same side together equal to two right angles. 3. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...the interior opposite angle on the same side of the cutting line ; (iii) the two interior angles on the same side together equal to two right angles. Let the straight lines AB, CD be parallel, and let the straight line EGHF cut them. It is required to prove that (i)...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...the exterior angle equal to the interior and opposite upon the same side of the line, or makes the interior angles upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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Calendar

University of Cambridge - 1853 - 650 pages
...tht alternate angles equal to one another, and the exterior angle equal to tie interior and opposite upon the same side, and likewise the two interior...the same side together equal to two right angles. Through two given points draw two lines forming with a line gin in position an equilateral triangle....
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