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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 39
των Euclid, John Playfair - 1826 - 320 σελίδες
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 σελίδες
...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...

Mechanics for Practical Men

Alexander Jamieson - 1845 - 572 σελίδες
...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...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...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...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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 straight...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...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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 straight...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 σελίδες
...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 straight...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,...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...parallels, and joined towards the same parts by the straight lines BE, CH : But straight B OF o lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel (1. 33) ; therefore EB, CH are both equal and parallel, and EBCH is a...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 σελίδες
...Wherefore, if the sides &c. — QED ' PROP. XXXIII. THEOR. GEN. ENUN. — The straight lines, which join the extremities of two equal and parallel straight lines towards the same parts, are themselves also equal and parallel. PAKT. ENUN. — Let AB, CD be = and || st. lines, and let them...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms are equal to one another, and...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight...and joined towards the same parts by the straight AB lines AC, BD; AC, BD are also equal and r parallel. \ Join BC ; and because AB is parallel to \---''''...




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