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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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 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. No straight line can be placed within a parallelogram greater than the greater diameter. 3. Triangles...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...equality in triangles. 2. If a 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 Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...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 equal to one another, and also the exterior angle equal to the interior...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 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. 5. To describe a parallelogram equal to a given recti- 16 lineal figure, and having an angle equal...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...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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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...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, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...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, 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, 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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