 | Euclides - 1879 - 146 pages
...the perpendicular, and the remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two...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
...that All the exterior angles of any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines which join the extremities of two...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
...angles. Therefore all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two...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... | |
 | Education Ministry of - 1880 - 238 pages
...that any two of the given lines must be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two...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... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
....0007, 3.5, and 200,000. SENIOR PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines which join the extremities of two...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 - 396 pages
...contained by the 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...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... | |
 | T S. Taylor - 1880 - 152 pages
...Second Repeat. — The enunciations of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines which join the extremities of two...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
...other ; the base of 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...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... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...angles formed at the points of meeting, nro together equal to four right angles. PRO?. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the tame parts, are also themselves equal and parallel. Let the straight lines AC, BD join the two equal... | |
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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. 
