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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 Practical Teacher, Volume 3

Education - 1884 - 708 pages
...the given angle, and AB is a given side. Л BCA is the triangle required. QEF 2. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. Prop. 33, Bk. I. 3. The complements of the parallelograms, which are about the diameter of any parallelogram,...

## The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...exterior angles are equal to four right angles. Ax. 3. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. . GIVEN that AB and CD are equal and parallel, and joined towards the same parts by AC and BD ; IT...

## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...them of the other. Shew also that the two triangles are equal in all respects. |j. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Shew also that the straight lines which join the extremities towards...

## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...and joining it to the angular points. PROPOSITION 33. THEOREM. The straight lines which join the ends of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. A. _T* CD Let AB and CD be equal and parallel : it is required to prove...

## Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...but one. 1877. (EUCLID.) 1. The straight lines which join the extremities of two equal and pifrallel straight lines towards the same parts, are also themselves equal and parallel. 2. To divide a given straight line into two parts, so that the rectangle contained by the whole and...

## Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 642 pages
...DC ; show that the angle DCB is greater than a right angle. (10.) 9. Show that the straight lines, which join the extremities of two equal and parallel straight lines, towards the samo parts, are themselves equal and parallel. In the triangles ABC, DEP, the side AB ia equal and...

## Calendar of Dalhousie College and University

Dalhousie University - 1887 - 206 pages
...be greater than the angle contained by the sides equal to them, of the other. 8. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also into two unequal parts, the rectangle...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...without it. Why is the given straight line described as of unlimited length ? 3. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Prove that a quadrilateral, which has two opposite sides and two opposite...