| Edward Harri Mathews - 1879 - 94 pages
...bisection and terminated by the parallel line are also bisected in that point. 2. The straight lines **which join the extremities of two equal and parallel...same parts are also themselves equal and parallel.** Any straight line drawn through the intersection of the diagonals of a parallelogram will divide the... | |
| Euclides - 1879 - 146 pages
...and the remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts, are** themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC,... | |
| Euclides, James Hamblin Smith - 1879 - 376 pages
...angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal ami **parallel straight lines, towards the same parts, are also themselves equal and parallel.** O Let the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD. Then... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...exterior angles of any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines **which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let AB** and CD be two equal and parallel straight lines, joined towards the same parts by the straight lines... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines **which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let AB** and CZ> be equal and parallel straight lines, and let them be joined towards the same parts by the... | |
| French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...200,000. SENIOR PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines **which join the extremities of two equal and parallel...same parts are also themselves equal and parallel.** 2. To divide a given straight line into two parts so that the rectangle contained by the whole and... | |
| Oxford univ, local exams - 1880 - 394 pages
...whole and each of the parts, are together equal to the square on the whole line. 4. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the... | |
| Education Ministry of - 1880 - 248 pages
...given lines must be greater than the third? 4. What are parallel straight lines ? The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and... | |
| T S. Taylor - 1880 - 152 pages
...The enunciations of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts, are** themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal... | |
| Education, Higher - 1881 - 504 pages
...that which has the greater angle shall be greater than the base of the other. 3. The straight lines **which join the extremities of two equal and parallel...same parts are also themselves equal and parallel.** If two straight lines join the extremities of two parallel straight lines, but not towards the same... | |
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