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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

## Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 45

Perry Fairfax Nursey - Industrial arts - 1846 - 650 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...makes the alternate angles equal to one another;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse СИ muet always...

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

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...in this manner be freed from all difficulty. PROP. III. or 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior and opposite on the same side ; and likewise the two interior...

## The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...is || to CD. (Prop. XXVII.) Wherefore, if a st. line, &c.— QED PROP. XXIX. THEOR. GEN. ENUN. — If a straight line fall upon two parallel straight...alternate angles equal to one another; and the exterior equal to the interior and opposite angle upon the same side ; and likewise the two interior angles...

## The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 45

1846 - 648 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always...

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

Euclides - 1848 - 52 pages
...to two right angles ; the two straight lines shall be parallel to one another. PROP. XXIX. 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...

## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel to CD (i.27.). Wherefore if a straight line, &c. QED PROP. XXIX. THEOR. 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 egual to two right...

## Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 942 pages
...£20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and mean ratio. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square...

## The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...be equal to each other, the -/ S &lso which subtend the equal angles shall be equal to each other. 2 "if a straight line fall upon two parallel straight lines, it makes the iternate angles equal to ear.h other: and the exterior angle equal to the "• -:— and opposite upon...