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" ... if a straight line, &c. QED PROPOSITION 29. — Theorem. 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 ;... "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Σελίδα 30
των Sir John Leslie - 1817 - 432 σελίδες
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 σελίδες
...another, and the exterior 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. Show that the difference between the alternate angles made by any straight line falling upon two given...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...the exterior angle equal to the interior and opposite angle on the same su/e of the line ; or make the two interior angles on the same side together equal to two right angles, these two straight lines are parallel to each other. Let the straight line EF falling upon the two...

First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 σελίδες
...one another, (b) the exterior angle equal to the interior and opposite angle on the same side, (c) the two interior angles on the same side together equal to two right angles. Particular Enunciation. Given. — The straight line EF, falling on the two parallel lines AB, CD....

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...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 two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the...

Guide to preliminary army examination

John Gibson - 1881 - 302 σελίδες
...another, and tho exterior 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. 4. Parallelograms on equal bases, and between tho same parallels, are equal to one another. 5. If the...

The Cambridge Examiner, Τόμος 3

1883 - 536 σελίδες
...make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. 7. If A be the vertex of an isosceles triangle...

The Cambridge Examiner, Τόμος 2

1882 - 498 σελίδες
...another, and the exterior angle equal to the interior and opposite angle on the same sids ; and also the two interior angles on the same side together equal to two right angles. 14. Draw through a given point, between two straight lines not parallel, a straight line which shall...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 σελίδες
...another, and the exterior 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. 3. In any right-angled triangle, the square which is described on the side subtending the right angle...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...makes (a) the exterior angle equal to the interior and opposite on the same side of the line, or (/3) the two interior angles on the same side, together equal to two right angles, these lines are parallel. Taking lines AB and CD, cut by EF as in the last proposition, the exterior...

The Competitor, Τόμοι 1-2

1882 - 486 σελίδες
...another, and the exterior 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. 4. Parallelograms on the same base, 'and between the same parallels, are equal to one another. 5. In...




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