| 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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