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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 22
by Euclides - 1834
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...one another ; these two straight lines shall be parallel. Prop. 28. If a straight line falling npon two other straight lines, make the exterior angle equal to the interior and opposite angle upon the same side of the line ; or make the interior angles upon the same side together equal...
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - Geometrical drawing - 1865 - 169 pages
...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 equal to two right angles. Prop....
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...equal to the interior 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 are parallel. Let the straight line EF which intersects the two straight lines AB, CD make the exterior...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 317 pages
...PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior an gle equal to the interior and opposite upon the same side of the Itnt; or makes the interior angles upon the same side together equal to two right angles ; the two...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...to CD. Wherefore, if a straight line &c. QED 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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...to CD. Wherefore, if a straight line &c. QED 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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 320 pages
...alternate angles equal; also any exterior angle equal to the 'interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV...
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Annual Report of the Normal, Model, Grammar, and Common Schools in Ontario ...

Ontario Chief Superintendent of Education - Education - 1869
...difference between equal and equivalent triangles 1 3. If the straight line falling upon two other lines make the exterior angle equal to the interior and opposite upon the same side, &c. BI 28. 4. When is a problem said to be indeterminate ? •5. If the sides of a triangle be bisected,...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...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 equal to two right angles. T Let the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 58 pages
...two other straight lines, makei 'he alternate angles equal to each other, or makes an exterior źngle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. Let the straight line EF, which j. mtersects the two straight...
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