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Straight lines which are parallel to the same straight line are parallel to one another.
Mathematics in the Lower and Middle Commercial and Industrial Schools of ... - Page 17
by Edson Homer Taylor - 1915 - 96 pages

## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...but L EGB + Z. BGH =s 2 rt. = 2rt. Wherefore, if a straight line, &c. PROP. XXIX. THEOR. 30. 1 Ea. Straight lines which are parallel to the same straight line, are parallel to each other. Let AB, CD, be each II EF; then shall AB || CD. E y -F A -;/ 11 c—yp D Let str. line...

## The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...not || ; .'. they will meet, if produced, towards B and D. — QED PROP. XXX. THEOR. GEN. ENUN. — Straight lines, which are parallel to the same straight line, are parallel to one another. PART. ENUN. — Let AB, CD be both || to EF ; then AB is || to CD. / CONST. — Let the st. line A...

## Report of the Committee of Council on Education (England and Wales ..., Issue 2

...GEOMETRY, TRIGONOMETRY, AND MENSURATION. (Que Question only to be answered in each Section.) Section 1. 1. Straight lines which are parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf the one equal to two sides of the other, each to each, but the...

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

Euclides - 1848 - 52 pages
...the two interior angles upon the same side together equal to two right angles. PROP. XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given...

## University of Durham

University of Durham - Education, Higher - 1851 - 222 pages
...from those by which he convinced the Jews ? IX. EUCLID. 1 . To bisect a given finite straight line. 2. Straight lines which are parallel to the same straight line are parallel to each other. 3. Equal triangles upon the same base and upon the same side of it are between the same...

## Papers for the schoolmaster, Volume 3

1867 - 336 pages
...greater than either of the interior opposite angles. Is this Theorem or Problem P Why ? 5. titraiyht lines, which are parallel to the same straight line, are parallel to each other. 6. Describe a square upon a given straight line. What corollary follows from this problem...

## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 152 pages
...therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight, &c. QED PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them parallel to EF; AB is also parallel to CD. Let the straight...

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

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal (1 Ax.) to two right angles. Wherefore, if a straight line, etc. QE o. PROPOSITION XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to each oiher. Let AB, CD be each of them parallel to EF ; AB is also parallel to CD. Let the straight...