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 Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| Oxford univ, local exams - 1880 - 394 pages
...with the square of the line between the points of section, is equal to the square of half the line. 4. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite** upon the same side of the line ; and likewise the two interior angles upon the same side of it together... | |
| James Russell Soley - Naval education - 1880 - 346 pages
...triangle being entirely outside the quadrilateral ; prove that the triangle has the greater perimeter. 3. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to** each other. Prove this ; and state clearly the axiom upon which your proof is based, and mention any... | |
| T S. Taylor - 1880 - 152 pages
...line fall on two parallel straight lines, it makes (a) the alternate angles equal to 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.... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...to it. AF = BG. PROP. XXVIII. THEOREM. If a straight line fatting upon two other straight lines make **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,... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...CD. [I. 27. Wherefore, if a straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on **two parallel straight lines, it makes the alternate angles equal to one** anotlier, and the exterior angle equal to the interior and opposite angle on the same side; and also... | |
| Education, Higher - 1883 - 536 pages
...angles, and the three interior angles of every triangle are together equal to two right angles. 6. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite** angles upon the same side, and likewise the two interior angles upon the same side together equal to... | |
| Moffatt and Paige - 1881 - 176 pages
...understood abbreviations for words may be used, but not symbols of operations, such as - , + , x .] 1. **If a straight line fall upon two parallel straight...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... | |
| John Carroll (art master.) - Geometry - 1881 - 100 pages
...one diagonal О X and one side YZ being given. С — в Fiq 10 Figzz IH LESSON V.— OX PARALLELS. " **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal."** — Euclid i. 29. Problem 25. — To draw a line parallel to a given straight line П J at a given... | |
| John Gibson - 1881 - 302 pages
...oil two parallel straight lines BC, DE, it makes the alternate angles equal to one 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... | |
| Education, Higher - 1884 - 538 pages
...pentagon about a given circle. • 10. 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 two right angles, the two... | |
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