 | Henry Major - 1876 - 784 pages
...quarrel, the result of the war, and our allies. Same exercise in penmanship as that set for Candidates. 1. The straight lines which join the extremities of two...parallel straight lines towards the same parts are also themselves equal and parallel. ' 2. "If va parallelogram and a triangle bo upon the same base... | |
 | Richard Wormell - 1876 - 268 pages
...parallel to the same straight line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. . . 59 39. Equal triangles upon the same base, and upon the same... | |
 | Edward Atkins - 1876 - 130 pages
...angles which are common ; 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 and 2~,arallel straight lines towards the same "parts are also themselves equal and parallel. Let AB and... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...therefore all the exterior angles of the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIIL THEOREM. The straight lines which join the extremities of two equal and parallel ttru.iiiIit lines towards the same parts, are also themselves equal and parallei. Let AB, CD be equal... | |
 | Edward Atkins - 1877 - 72 pages
...angles which are common ; Therefore all the exterior angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. The straight lines which...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... | |
 | 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...parallel straight lines towards the same parts, are also themselves equal and parallel. 4. If the square described upon one of the sides of a triangle... | |
 | 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... | |
 | Euclides - 1879 - 146 pages
...produced, the perpendicular, and the remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...parts, are themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC, BD. Then AC, BD shall be = and || . Constr.... | |
 | Moffatt and Paige - 1879 - 474 pages
...all the exterior angles of the 'figure are equal to four right angles (Ax. 3). Proposition XXXIII. Theorem. The straight lines which join the extremities...parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...at 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...parallel straight lines towards the same parts, are also themselves equal and parallel ABCD is a parallelogram whose diagonals AC, BD intersect in C :... | |
| |
THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
