 | Marianne Nops - 1882 - 278 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1883 - 428 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
