| Euclides - Euclid's Elements - 1881 - 236 pages
...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... | |
| Education Ministry of - 1882 - 302 pages
...given lines must be greater than the third? 4. What are parallel straight lines ? The straight lines **which join the extremities of two equal and parallel...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... | |
| 1883 - 248 pages
...given sum ; make ^DAC = .^ADC, and prove the triangle ABC is that required.) 2. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** (This is Euclid I., 33.) 3. The complements of the parallelograms, which are about the diameter of... | |
| College of preceptors - 1882 - 528 pages
...proposition of 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 towards the same parts are** themselves equal and parallel. State the converse proposition. Equilateral triangles are described... | |
| Marianne Nops - 1882 - 278 pages
...by them equal to a given angle. LECTURE XIY. (PROPOSITIONS 33-34). 1. Prove that the straight lines **which join the extremities of two equal and parallel straight lines towards** opposite parts bisect each other. 2. The sum of the perpendiculars from an interior point in any parallelogram... | |
| Euclides - 1883 - 176 pages
...triangle and the angles at the base, to construct the triangle. PROP. 33. THEOR. The straight lines **which join the extremities of two equal and parallel...same parts are also themselves equal and parallel.** Given AB = and || CD, and let them be joined towards the same parts. To prove AC = and || BD. JoinBC.... | |
| 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...parts, are also themselves equal and parallel. Let AB** and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight... | |
| Stewart W. and co - 1884 - 272 pages
...angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines **which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD** ; AC, BD, are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... | |
| Euclides - 1884 - 182 pages
...positions of the lines in a similar manner. 80. PROPOSITION XXXIII. — THEOREM. The straight lines **which join the extremities of two equal and parallel...joined towards the same parts by the straight lines AC,** SS. Then AC, BD shall be equal and parallel. Join BC. Then, because AB is parallel to CD, and BC meets... | |
| 1884 - 266 pages
...triangle are equal to two right angles. 3. Trisect a given finite straight line. 4. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** Show how to inscribe a square in a given right.angled isosceles triangle. 5. Describe two circles of... | |
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