 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. oo Let the equal and II st. lines AB, CD be joined towards the same parts by the st. lines AC, BD.... | |
 | Henry Major - 1873 - 588 σελίδες
...are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight...AC, BD, are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD, are equal ; and because... | |
 | Euclides - 1874 - 342 σελίδες
...figure are equal to four right angles (Ax. 3). PROPOSITION 33. — Theorem. The straight lines which join the extremities of two equal and parallel straight...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. C 0 Construction. Join BC. Demonstration. Then, because AB... | |
 | Euclides - 1874 - 120 σελίδες
...angled triangle is equidistant from the three anjles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight...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... | |
 | Edward Atkins - 1874 - 428 σελίδες
...angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. T/ie straight lines which join the extremities of two equal and parallel straight...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... | |
 | Robert Potts - 1876 - 446 σελίδες
...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...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. Join BC. Then because AB is r,arallel to CD, Etnd BC meets... | |
 | Richard Wormell - 1876 - 268 σελίδες
...line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal and parallel straight...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 σελίδες
...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 straight...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 σελίδες
...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 σελίδες
...exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight...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... | |
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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. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... 
