 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...meeting in F ; prove that FG drawn at right angles to the third side AB will bisect it in G. PROP. XXIX. THEOREM. If a straight line fall on two parallel straight lines it mains the alternate angles equal to one another ; the (xterior angle equal to the interior and opposite... | |
 | T S. Taylor - 1880 - 152 pages
...Repeat. — The enunciations of Euc. I. 13 and I. 15, and Axioms i, 20, 40, and 12. General Enunciation. If a straight 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... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...geometric series. Sum the series — f + i — re + &c., to 7 terms. GEOMETRY. (Time allowed, 3 hours.) 1. If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Education, Higher - 1884 - 538 pages
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one 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. Divide a... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...AGH= GHD, and they are alternate angles; therefore AB and CD are parallel (I. 25). Proposition 27. Theorem. — If a straight line fall on two parallel straight lines, it makes — 1. The alternate angles equal to each other. 2. The exterior angle equal to the opposite interior angle on... | |
 | Education Ministry of - 1882 - 300 pages
...Proposition 17 of the First Book 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 angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Marianne Nops - 1882 - 278 pages
...alternate angles. .-. AB is |] to CD. Wherefore if a straight line. — QED PROPOSITION XXIX., THEOREM 20. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Education, Higher - 1882 - 498 pages
...intercepted by the circle shall be equal to a given line not greater than the diameter of the circle. 13. If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | 1882 - 486 pages
...point P in the same. 2. Any two sides of a triangle DEP are together greater than the third side. 3. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...triangles on AB, CD from that on B 0, are respectively equal to the two diagonals of the parallelogram. 2. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite... | |
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If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one 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... 
