 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...  Parliamentary Papers - Page 21by Great Britain. Parliament. House of Commons - 1852Full view - About this book
 | Robert Potts - 1868 - 434 pages
...therefore the remaining angle AGH is equal to the remaining angle GHD; (ax. 3.) PROPOSITION XXIX. 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 t/te interior and opposite upon the same side ; and likewise... | |
 | Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...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,... | |
 | Alfred Challice Johnson - Spherical trigonometry - 1871 - 178 pages
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle be produced, the exterior angle is equal to... | |
 | Euclides - 1871 - 136 pages
...are not parallel. It is also cle ir that they meet towards B, D, because GB lies between GN and ///>. 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...clear that they meet towards B, D, because GB lies between GN and HD. <j. RD PROPOSITION XXIX. 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; and likewise... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD. XXIX. — 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... | |
 | Euclides - 1874 - 342 pages
...3. AB is parallel to CD (I. 27). Wherefore, 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 ; and likewise... | |
 | Edward Atkins - 1874 - 426 pages
...is parallel to CD (I. 27). Therefore, if a straight line, <fec. QE 2). 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; and also... | |
 | Edward Atkins - 1874 - 428 pages
...&c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two right angles, the... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...impossible.- (Lemma.) .-. L AFG is =. the alternate L FGD. Hence are easily deduced the following Theorems: If a straight line fall upon two parallel straight lines, it makes the exterior L. = the interior and opposite upon the same side. straight lines AB, CD; / Let HK fall upon... | |
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