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" Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... "
The Elements of Geometry, Symbolically Arranged - Page 38
by Great Britain. Admiralty - 1846
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...line fall upon two paraHel straight lines 18 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 equal to two right angles. 5. To...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a straight line, falling upon two other straight lines, make the exterior angle equal to tho interior and opposite upon the same side of the line, or make the interior angles upon the same...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 29. If a straight line fall on two parallel straight lines, it shall make the alternate angles equal,...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...same side of the cutting line, or make the two interior angles on the same side of the cutting line together equal to two right angles, the two straight lines shall be parallel. 29. If a straight line cut two parallel straight lines, it shall make the alternate angles equal, and...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the interior and opposite angle on the same side of the line ; or if it make two interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF, intersecting the two straight lines AB, CD, (1) make the exterior...
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Studies in Deductive Logic: A Manual for Students, by W. Stanley Jevons

William Stanley Jevons - Logic - 1896 - 344 pages
...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
...(Definition 9). Therefore AB is parallel to CD. 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 angles on the same side together equal to...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...3. If a straight line fall on two parallel straight lines, it makes the 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...
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Euclid, His Life and System

Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...they would not meet 1 Prop. 28 is : " If a straight line falling on two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line, the two straight lines shall be parallel to one another," that is, according to Euclid's definition,...
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