 | 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, GHF are equal... | |
 | 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,... | |
 | 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,... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...lines will be 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 line GHK cut... | |
 | Education Ministry of - 1880 - 238 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,... | |
 | 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,... | |
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Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. 
