| Great Britain. Civil Service Commission - 1879 - 620 pages
...which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on **two parallel straight lines, it makes the alternate...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... | |
| Moffatt and Paige - 1879 - 378 pages
...the converse of that axiom ? If so, is there any objection to the axiom ? If a straight line fall on **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle on the same side ; and also the interior angles on the tame side toe/ether equal to two right... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on **two parallel straight lines, it makes the alternate...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... | |
| University of Oxford - Greek language - 1879 - 414 pages
...sector of a circle, similar segments of circles. When is a straight line said to touch a circle ? 2. **If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another,** the exterior angle equal to the interior and opposite angle on the same side of the line, and the two... | |
| Oxford univ, local exams - 1880 - 396 pages
...occur in Euclid's definition of a plane angle, omitted in this definition? 2. If a straight line falls **upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle upon the same side; and likewise the two interior angles upon the same side equal to two right... | |
| 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... | |
| 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... | |
| 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... | |
| Education, Higher - 1881 - 504 pages
...le. 3. By two different methods describe a rectilineal angle equal to a given rectilineal angle. 4. **If a straight line fall upon two parallel straight lines, it makes the** two interior angles upon the same side together equal to two right angles, and also the alternate angles... | |
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