 | Edward Atkins - 1876 - 130 pages
...Proposition 33.— Theorem. The straight lines which join the extremities of two equal and 2~,arallel straight lines towards the same "parts are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines joined towards the same parts by the straight lines AC... | |
 | D. Tierney - 1877 - 126 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 4. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
 | Edward Atkins - 1877 - 72 pages
...Therefore all the exterior angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. The straight lines which join the extremities of two equal...parallel straight lines towards the same parts are al.to themselves equal and parallel. Let AB and CD be equal and parallel straight lines joined towards... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...Geometry, the product of two lines means the same thing as their rectangle. PROPOSITION I.—THEOREM. Two straight lines which join the extremities of two equal and parallel straight lines, towards corresponding parts, are also equal and parallel. AC and BD be equal and parallel. Let AB and CD be... | |
 | Moffatt and Paige - 1879 - 474 pages
...exterior angles of the 'figure are equal to four right angles (Ax. 3). Proposition XXXIII. Theorem. The straight lines which join the extremities of two equal...joined towards the same parts by the straight lines AC, B D. Then AC, BD shall be equal and parallel, Join B C. Then because AB is parallel to CD, and BC falls... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...A, and the angle B is double of the angle C. Show that the side CB is double of the side AB. 33. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel ABCD is a parallelogram whose diagonals AC, BD intersect in C : show that if the parallelograms AOBP,... | |
 | Edward Harri Mathews - 1879 - 94 pages
...any two of the given lines must be greater than the third ? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and... | |
 | Euclides - 1879 - 146 pages
...perpendicular, and the remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal...parallel straight lines towards the same parts, are themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC,... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal ami parallel straight lines, towards the same parts, are also themselves equal and parallel. O Let the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD. Then... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angles. Therefore all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal...parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them be joined towards the same parts by the... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
