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IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together...
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 314
1858

## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...3. AB is parallel to CD (I. 27). Wherefore, if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two...

## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles....

## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...impossible.- (Lemma.) .-. L AFG is =. the alternate L FGD. Hence are easily deduced the following Theorems: If a straight line fall upon two parallel straight lines, it makes the exterior L. = the interior and opposite upon the same side. straight lines AB, CD; / Let HK fall upon...

## The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...life and character of one of them. 3. Trace the descent of Queen Victoria from James I. EUCLID. — 1. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two...

## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Therefore AB is parallel to CD (I. 27). Therefore, if a straight line, &c. QED Proposition 29. — Theorem. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right...

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...exterior angle at the base of the triangle. 2. If a straight line fall upon two parallel straight Hues, it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles npon the same side together equal to two right...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 pages
...clear that they meet towards B, D, because GB lies between GN and HD. QED PROPOSITION XXIX. THKOBEM. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles, and also the alternate angles...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...lines make the alternate angles equal to each other, these two straight lines shall be parallel. 4. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the. same side together equal to two right angles. 5. Assuming Proposition...