| Marianne Nops - 1882 - 278 pages
...side of any triar^le, &c. — QED PROPOSITION XXXIII., THEOREM 23. 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 equal and || straight lines joined towards the... | |
| 1883 - 248 pages
...make ^DAC = .^ADC, and prove the triangle ABC is that required.) 2. The straight lines which join the **extremities of two equal and parallel straight lines towards the same parts, are** also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms,... | |
| Education Ministry of - 1882 - 292 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... | |
| Euclides - 1883 - 176 pages
...the angles at the base, to construct the triangle. PROP. 33. THEOR. The straight lines which join the **extremities of two equal and parallel straight lines towards the same parts are** also themselves equal and parallel. Given AB = and || CD, and let them be joined towards the same parts.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...with four right angles. B V PROPOSITION 83. THEOREM. The straight lines which join the extremitie* **of two equal and parallel straight lines towards the same parts, are** also themselves equal and parallel. Let AB and CD be equal and parallel straight lines, and let them... | |
| Woolwich roy. military acad - 1884 - 148 pages
...Why is the given straight line described as of unlimited length? 3. The straight lines which join the **extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel.** Prove that a quadrilateral, which has two opposite sides and two opposite obtuse angles equal, is a... | |
| Euclides - 1884 - 434 pages
...and joining it to the angular points. PROPOSITION 33. THEOREM. The straight lines which join the ends **of two equal and parallel straight lines towards the same parts, are themselves equal and parallel.** A. _T* CD Let AB and CD be equal and parallel : it is required to prove AC and BD equal and parallel.... | |
| Stewart W. and co - 1884 - 272 pages
...to twice as many right angles as the figure has sides. XXXIII. — 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... | |
| Euclides - 1884 - 182 pages
...the lines in a similar manner. 80. 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... | |
| 1884 - 266 pages
...to two right angles. 3. Trisect a given finite straight 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. Show how to inscribe a square in a given right.angled isosceles... | |
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