| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 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... | |
| 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 - Geometry - 1903 - 212 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 - 608 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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