 | 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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Straight lines which are parallel to the same straight line are parallel to one another. 
