 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...of an equiangular polygon having n angles ? Proposition 33. 122. Two straight lines which join the extremities of two equal and parallel straight lines...parts are themselves equal and parallel. Let AB, CD represent two finite straight lines which are of equal lengths and parallel to each other, and let... | |
 | Yale University - 1892 - 200 pages
...circumference can be made to pass, and but one. 1877. (EUCLID. ) 1. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal aud parallel. 2. To divide a given straight line into two parts, so that the... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...many right angles as the figure has sides. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines...same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be joined towards the same parts by the... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...2. Give Euclid's Axiom on parallel straight lines ; and show that the straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. Two quadrilaterals ABCD, EFGH, have the sides AB, DC respectively... | |
 | Euclid, Rupert Deakin - Euclid's Elements - 1903 - 218 pages
...angles ACD and ADC double the angle CAD. PROP. 33. — Theorem. — The straight lines which Join the extremities of two equal and parallel straight lines,...same parts, are themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, and let them be joined towards the same parts- by... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...each angle of a regular polygon of n sides. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines...same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be joined towards the same parts by the... | |
 | 1905 - 614 pages
...and have one of its angles equal to a given rectilineal angle. 5. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. SECTION B. 6. Find the length of the side of an isosceles triangle... | |
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
...from BA, CA respectively. Prove BE > CD. PARALLELOGRAMS THEOREM 19 Straight lines which join the ends of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Hypothesis. — AB, CD are = and ||. To prove that (1) AC = BD, (2) AC || BD. Construction. — Join... | |
 | Great Britain. Board of Education - Education - 1912 - 372 pages
...vector to the mid point of the line so determined. 2. The straight lines joining the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. 3. The opposite sides of a parallelogram are equal and the diagonals bisect one another. The diagonals... | |
 | University of St. Andrews - 1898 - 610 pages
...longer on the way. Find the lengths of the roads. C. 14. Straight lines, which join the extremities of equal and parallel straight lines towards the same parts, are themselves equal and parallel. The straight lines, which join transversely the extremities of two equal and parallel straight lines,... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
