 | J. G - 1878 - 408 pages
...of intersection of these planes shall be parallel to each of the twogiven straight lines. Or : — Straight lines which are parallel to the same straight line are parallel to one another. (See Euclid XI., 9.) Or : — If a straight line is parallel t& two planes it is also parallel to their... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...of any acute and obtuse angle will be equal to two right angles. PROPOSITION XXVIII.—THEOREM. Two straight lines which are parallel to the same straight line are parallel to each other. r to the same straight line EF; G Let AB and CD be parallel A. -f^ B then will they be... | |
 | Āryabhaṭa - 1878 - 100 pages
...angles are equal, therefore AB and CD are parallel (P. 7). Wherefore if a straight line &c. QED Cor. Straight lines which are parallel to the same straight line are parallel to each other. PROP. ix. PROBLEIT. (E. 1. 31.) To draio through a given point a straight line parallel... | |
 | Moffatt and Paige - 1879 - 474 pages
...Therefore, if a straight line falls on two parallel straight lines, etc. QED Proposition XXX. Theorem. Straight lines which are parallel to the same straight line are parallel to one another. Let the straight lines AB, CD be each of them parallel to EF. Then AB shall also be parallel to C D.... | |
 | Moffatt and Paige - 1879 - 378 pages
...III.) .-. Remaining angle of the one=remaining angle of the other. SECTION III. (Three questions.) 1. Straight lines which are parallel to the same straight line, are parallel to one another. If the straight line, to which two others are parallel, lie between them, show that this property follows... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...bisected in that point 30. When are straight lines said to be parallel to each other ?" Prove that straight lines which are parallel to the same straight line are parallel to one another. 31. Draw a straight line through a given point parallel to a given straight line. From a given point... | |
 | Euclides - 1879 - 146 pages
...exterior angle of a triangle be parallel to the base, the triangle is isosceles. PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. Let AB, CD be each of them || EF. Then also AB shall be || CD. EV B Constr. Let st. line GHK cut AB,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...be a right angle ; since they are together equal to two right angles. Proposition 28. Theorem. — Straight lines which are parallel to the same straight line are parallel to each other. Draw GHK cutting all three. Then, because AB, EF are parallel, the alternate angles AGH,... | |
 | Edward Harri Mathews - 1879 - 94 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,... | |
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Straight lines which are parallel to the same straight line are parallel to one another. 
