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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

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

John Playfair - Euclid's Elements - 1832 - 333 pages
...since they do not meet towards L and D, they must meet if produced towards K and C. PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to one another. Let AB, CD, be each of them parallel to EF; AB is also parallel to CD. Let the straight line GHK cut...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 one another. Let AB, CD be each of them parallel to EF, AB is also parallel to CD. Let the straight line GHK cut...

## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...in С : the straight lines pq, p'q produced, shall, each of them, pass through the point C. Because straight lines which are parallel to the same straight line are parallel to one another (IV. 6.) VC, which is parallel to PQ, is parallel also to P'Q'. But it has been already shown (2 Cor....

## The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 513 pages
...are equal to two right angles. Wherefore, " if a straight" &c. QED PROP. XXX. THEOR. Straight linen which are parallel to the same straight line are parallel to one another. Let AB, CD be each of them parallel to EF, AB is also parallel to CD. Let the straight line GHK cut...

## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...; and likewise the two interior angles upon the same side together equal to two right angles. XXX. Straight lines which are parallel to the same straight line are parallel to one another. XXXII. If a side of any triangle be produced, the exterior angle is equal to the two interior and op....

## The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...two interior angles on the same side together equal to two right angles. COR. II. Straight lines that are parallel to the same straight line, are parallel to one another. PROP. IV. PROB. To draw a straight line through a given point parallel to a given straight line. Let...

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

Euclid - Geometry - 1837 - 410 pages
...same has been proved (I. 30.) respecting straight lines in the same plane : therefore, universally, straight lines which are parallel to the same straight line, are parallel to one another. PROP. X. THEOR. IF two straight lines meeting one another, be parallel to two others that meet one...

## Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...do not meet towards L and D, they will meet if produced towards K. and C. PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. Let AB, CD, be each of them parallel to EF, ABis also parallel to CD. Let the straight line GHK cut...