 | Moffatt and Paige - 1879 - 474 pages
...equal to four right angles (Ax. 3). Proposition XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | T S. Taylor - 1880 - 152 pages
...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...the same parts, are themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal and parallel. (b) The straight... | |
 | Oxford univ, local exams - 1880 - 394 pages
...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 straight lines towards the same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle... | |
 | Education Ministry of - 1880 - 248 pages
...be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, joined... | |
 | Education, Higher - 1881 - 504 pages
...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 straight lines towards the same parts are also themselves equal and parallel. If two straight lines join the extremities of two parallel straight... | |
 | College of preceptors - 1882 - 528 pages
...Euclid on which your answer is based. 3. Define parallel straight lines. Straight lines which join the extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel. State the converse proposition. Equilateral triangles are described externally on the sides of a rhombus... | |
 | Philip Kelland, Peter Guthrie Tait - Quaternions - 1882 - 296 pages
...different routes. (See remark on Ex. 9.) EXAMPLES. Ex. 1. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. ILetAB be equal and parallel to CD ; to prove that AC is equal and parallel to BD. Let vector AB be... | |
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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. 
