| 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, Plane - 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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