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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 too interior angles upon the same side together... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 39
av John Playfair - 1819 - 317 sider
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1006 sider
...triangles. -. If я straight line fall upon two parallel straight lines, prove that it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 252 sider
...exterior angle equal to the interior and opposite angle 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 (Euc. I. 28). 66*. THEOE. 10. Straight lines...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 530 sider
...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 describe a parallelogram equal to a given recti- 16 lineal figure, and having an angle equal...
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Annual Report of the Chief Superintendent of Education

1891 - 720 sider
...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 side together equal to two right angles, the two straight lines are parallel to one another. 3. Prove that if the opj>osite angles of a quadrilateral...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 486 sider
...the interior and opposite angle on the same side of the line, and it also makes interior angles on the same side together equal to two right angles. Let the straight line EF intersect the two parallel straight lines AB, CD : it is required to prove that (1) the alternate angles...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 708 sider
...the interior and opposite angle on the same side of the line, and it also makes interior angles on the same side together equal to two right angles. Let the straight line EF intersect the two parallel straight lines AB, CD : it is required to prove that (1) the alternate angles...
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Studies in Deductive Logic: A Manual for Students, by W. Stanley Jevons

William Stanley Jevons - 1896 - 344 sider
...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 sider
...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 - 1900 - 558 sider
...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, Bok 1

Euclid, Rupert Deakin - 1903 - 212 sider
...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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