Books Books THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 29
by Euclides - 1845 ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 358 pages
...XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight tines, towards the same parts, are also themselves equal...towards the same parts by the straight lines AC, BD; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... ## Parliamentary Papers, Volume 52

Great Britain. Parliament. House of Commons - Great Britain - 1866 - 858 pages
...triangle from the three angles is greater than half the perimeter of the triangle. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves also equal and parallel. 5. Along the sides of a parallelogram taken in order, if we measure... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel...parts, 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 the straight... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. , The straight lines which join the extremities of two equal and parallel...parts, 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 the straight... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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...lines AC, BD. Then AC, BD shall be equal and parallel. D Join BC. Then because AB is parallel to CD, and BC meets them, therefore the angle ABC is equal to... ## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD, Then must... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...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.... ## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...angles, 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...towards the same parts by the straight lines AC, BD ; AC, BD, are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...the figure are equal to four right angles (Ax. 3). PROPOSITION 33. — Theorem. The straight lines which join the extremities of two equal and parallel...lines AC, BD. Then AC, BD shall be equal and parallel. C 0 Construction. Join BC. Demonstration. Then, because AB is parallel to CD, and BC meets them, therefore... 