 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...first pair are respectively equal to the angles made by the second pair. THEOR. 24. Straight lines that are parallel to the same straight line are parallel to one another. Let the straight lines AB, CD be each parallel to the straight line EF : then shall AB and CD be parallel.... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...perpendicular by the first part of theTheorem : therefore the perpendicular is the parallel. THEOREM 8. Straight lines which are parallel to the same straight line are parallel to one another '. Let A and B be each of them parallel to C; then shall A be parallel to B. Proof. Take a plane PQ... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...every triangle is subtended by the greater side, or, has the greater side oppdsite to it. 2. Show that straight lines which are parallel to the same straight line are parallel to each other. 3. Show that if a straight line be divided into two equal parts, and also into two unequal... | |
 | George William Usill - Surveying - 1889 - 306 pages
...one another, and also the exterior angle equal to the interior and opposite upon the same side. 17. Straight lines which are parallel to the same straight line are parallel to one another. 18. If a side of any triangle B c be produced to D, the exterior angle is equal to the two interior... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...made in the above enunciation if we substitute right for acute or obtuse ? PROPOSITION 30. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. Let AB, CD be each of them || to EF; then AB shall be || to CD. Let st. line GH K cut the ||s AB, EF,... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...(Ax. 3) And these being alternate Z s, . • . AB || to CD. (75) QED Proposition 1 6. Theorem. 79. Straight lines which are parallel to the same straight line are parallel to one another. Hyp. Let the st. lines AB, CD A EX- B be each || to the st. line PQ. ^ /- ^ To prove AB || to CD. -r... | |
 | Euclid - Geometry - 1890 - 442 pages
...+ BSR = ASR + BSR, = two rt. A 8. AA Similarly SRC + ASR = two rt. A". Proposition 30. THEOREM — Straight lines which are parallel to the same straight line are parallel to each otfier. Let st. lines AB, CD be each || to PQ. Draw XY across them, meeting AB, PQ, CD in _ f... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...same side ; and also the two interior angles on the same side together equal to two right angles. 30. Straight lines which are parallel to the same straight line are parallel to one another. 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...the two interior angles on the same side of the cutting line together equal to two right angles. 30. Straight lines which are parallel to the same straight line are parallel to each other. 31. Through a given point, to draw a straight line parallel to a given straight line. 32.... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...either of the lines making the angle, the triangle thus formed will be isosceles. Proposition 30. 116. Straight lines which are parallel to the same straight line are parallel to one another. Let the straight lines EF, GH be each parallel to KL, it is required to prove that EF, GH are parallel... | |
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Straight lines which are parallel to the same straight line are parallel to one another. 
