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" ... the exterior angle equal to the interior and opposite on the same side of the line ; and likewise the two interior angles on the same side of the line together equal to two right angles. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 138
by Thomas Perronet Thompson - 1833 - 150 pages
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...angle, be greater than the base of the other. 4. If a straight line falling on two other straight lines make the exterior angle equal to the interior and opposite, on the same side of the line ; then the two straight lines shall be parallel. •5. Through a given point to draw a straight line...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...Lines are parallel if : — (a) The alternate angles are equal (I. 27). (/3) The exterior angle is equal to the interior and opposite on the same side of the cutting line. (y) The two interior angles on the same side are together equal to two right angles (I....
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Calendar of Dalhousie College and University

Dalhousie University - 1888 - 212 pages
...angle. 2. If a straight line falling on two others make either (1) th« alternate angles equal ; or (2) the exterior angle equal to the interior and opposite on the same side, these two straight lines shall be parallel. 3. If a straight line be diyided into any two parts, the...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...equal to the angle EGB (Proposition 15). Therefore the angle EGB is equal to the angle GHD; that is, the exterior angle equal to the interior and opposite on the same side. And since EGB is equal to GHD, to each of these add the angle BGH. Therefore the angles EGB and BGH...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 pages
...are together greater than the third side. 8. If a straight line, falling on two other straight lines, make the exterior angle equal to the interior and opposite on the same side of the line; or make the two interior angles on the same side together equal to two right angles ; the two straight...
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The popular educator, Volume 4

Popular educator - 1860 - 424 pages
...proposition, that if a straight lino falls upon two parallel straight lines, it makes the exterioY angle equal to the interior and opposite on the same side of the line ; propounded in other terms, without the intervention of any new or explanatory idea. 18. In a tract...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; the exterior angle equal to the interior, and opposite on the same side ; and the two interior angles upon the same side equal to two right angles. 7. The opposite sides and...
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