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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

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...exterior angles are equal to four right angles. " " \ PROPOSITION 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 par.illel to CD, and BC meets them,...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...parallel straight lines towards the sa/те parts are also tíiemsetves equal and parallel. LET ab, Сd be equal and parallel straight lines, and joined towards the same parts by the straight lines aС, bd; aС, bd are also equal and parallel. Join b 0 ; a,) id because ab is parallel to С d, an(lb...

## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...to the remaining angle of the other. Which was to be proved. PEOP. XXXIII. THEOE. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts shall be also themselves equal and parallel. Let AB, CD be two equal and parallel straight lines, and...

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

John Playfair - Geometry - 1855 - 336 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, Cqjfce equal and parallel straight lines, and joined towards the same partsby the straight lines AC,...

## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...points of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let the straight lines AС, BD join the two equal and parallel straight lines AB, С D towards the same...

## Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...abed is a parallelogram of which, two sides are parallel to two sides of ABCD. 3. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC' pass through the other points of intersection...

## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...point in the line bisecting the angle between them, are equal to each other. 4. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. 5. To describe a square upon a given straight line. 6. If a straight line be divided into any two parts,...

## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...angles of the other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined...