 | Euclides - 1874 - 120 pages
...right angled triangle is equidistant from the three anjles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel...are also themselves equal and parallel. .. Let AB and CD be equal and parallel straight ' • lines, and let them be joined towards the same parts by... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...equal and parallel ttru.iiiIit lines towards the same parts, are also themselves equal and parallei. Let AB, CD be equal and parallel straight lines, and...be equal and parallel. Join BC. Then because AB is r,arallel to CD, Etnd BC meets them, therefore the angle ABC is equal to the alternate angle BCD; (i.... | |
 | Richard Wormell - 1876 - 268 pages
...straight line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. . . 59 39. Equal triangles upon the same base, and upon the same side of it, are between the same parallels.... | |
 | Henry Major - 1876 - 784 pages
...war, and our allies. Same exercise in penmanship as that set for Candidates. 1. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. ' 2. "If va parallelogram and a triangle bo upon the same base and between the same parallels, the... | |
 | 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
...produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel...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
...exterior angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. The straight lines which join the extremities of two equal and 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
...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
...the 'figure are equal to four right angles (Ax. 3). Proposition XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel...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
...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 and parallel...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,... | |
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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. 
