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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. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 29
by Euclides - 1845
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...twice as many right angles as there are re-entering angles. PROP. XXXIII. THEOR. 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 в,c ; and because AB is parallel to CD, and вc meets them,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. 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,...
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The British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 1844 - 688 pages
...other. 3. Any two sides of a triangle are together greater than the third side. 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. If a parallelogram and a triangle be on the same base, and between...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — 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,...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 434 pages
...be added the equal _.< CDB and ABD, the whole ZADC will be = the whole ZABC. QED Cor. 1. The lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. and ABD hare two sides, CD and DB of the one = two AB and DB in the...
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Mechanics for Practical Men

Alexander Jamieson - Mechanics - 1845 - 578 pages
...equal and parallel to AH, PB and AH to PE, CF is also equal and parallel to PE ; but straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel ; wherefore EF is equal and parallel to PC, and the figure PEFC is a...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...triangle on one of the lines containing the right angle. f PROP. XXXIII. THEOB. — The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, f are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, which are...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...away all the int. /_ s, all the ext. Zs=4rt. /.s. PROP. XXXII. THEOR. 33. iBu. TIie straight lines which join the extremities of two equal and parallel...also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts by the str. lines AC, BD : then shall AC and BD...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...the int. /. s, .*. all the ext. _ s= 4 rt. _ s. PROP. XXXII. THEOR. 33. iKu. The straight lines which join the extremities of two equal and parallel...also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts by the str. lines AC, BD : then shall AC and BD...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...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 lines AC,...
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