| Joseph Wollman - 1879 - 120 pages
...MKH coincides with the triangle LHK, and the angle MKH coincides with the angle LHK (Ax 8). QED 3. **Straight lines, which are parallel to the same straight line, are parallel to** each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,... | |
| T S. Taylor - 1880 - 152 pages
...(Euclid I. 30). Repeat. — The enunciations of Euc. I. 27, I. 29, and Axiom i. General Enunciation. **Straight lines which are parallel to the same straight line are parallel to one another.** Particular Enunciation. Given.— A _ B (a) The line AB parallel to the line E F. E - * (V) And the... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...equal to two right angles. [Axiom 1. Wherefore, if a straight line &c. QEB PROPOSITION 30. THEOREM. **Straight lines which are parallel to the same straight line are parallel to** each other. Let AB, CD be each of them parallel to EF: AB shall be parallel to CD. Let the straight... | |
| 1880 - 594 pages
...honesty that he provided a home for him, paid for his education, and started him in life." Euclid. — i. **Straight lines which are parallel to the same straight line are parallel to** each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,... | |
| Education Ministry of - 1880 - 248 pages
...a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. **Straight lines, which are parallel to the same straight line, are parallel to** each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...perpendicular to one of two parallel straight linee, it is also perpendicular to the other. PROP XXX. THEOREM. **Straight lines which are parallel to the same straight line are parallel to** each other. Let the straight lines AB, CD, be each of them parallel to EF. Ther AB is also parallel... | |
| Simon Newcomb - Geometry - 1881 - 418 pages
...parallelogram. nals of a quadrilateral are two lines joining its opposite angles. THEOREM XXV. 120. **Straight lines which are parallel to the same straight line are parallel to** each other. Hypothesis. The line b par- 14 allel to the line a. The line c I also parallel to the line... | |
| John Gibson - 1881 - 64 pages
...alternate angles equal to one another, the two straight lines shall be parallel. 3. Straight lines that **are parallel to the same straight line are parallel to one another.** 4. Through a given point draw a straight line parallel to a given straight line. 5. The three interior... | |
| Marianne Nops - 1882 - 278 pages
...s GHD, BGH = two rfc. Z s. Wherefore if a straight line, &c. — QED PROPOSITION XXX., THEOREM 21. **Straight lines which are parallel to the same straight line are parallel to** each other. Let AB, CD be each of them || to EF ; AB shall be || to CD. Draw the straight line LM cutting... | |
| Education - 1882 - 676 pages
...abbreviations for worjs may be us-ed, but symbols of operation, such as-, +, x, are not admissible.] 1. **Straight lines which are .parallel to the same straight line are parallel to** each other. 2. Describe a parallelogram equal to a given square, and having an angle equal to half... | |
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