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

Euclides - 1884 - 214 pages
...Therefore, if a straight line <5zc. QED 9—"2 PROPOSITION XXIX. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...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....

## Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...is equivalent to the difference of the squares of those lines. 1880. 1. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite (or remote) angle on the same side ; and also the two interior angles on the same side together equal...

## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...alternate angles ; therefore A"R is parallel to CD. XXIX. — If a straight line fall upon twoparallel straight lines, it makes the alternate angles equal...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...

## Annual Report of the Commissioners ..., Volume 50

1884 - 648 pages
...side and perpendicular of an equilateral triangle ; construct the triangle. 10 marks. 3. Prove that if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. 10 marks. •I. The sides of a triangle are 15 feet, 37 feet, and 41 feet : find the length of the...

## Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...being entirely outside the quadrilateral ; prove lh»t the triangle ha« the greater perimeter. 3. If a straight line fall upon two parallel straight lines, it makes the alternate an|k* equal to each other. Prove this; and state clearly the axiom upon which your proof in based,...

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

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...BC intersect in 0: prove that the triangles OAB, OCD are each isosceles. 2. If a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side of the line, and the two...

## Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...D, make the alternate angles equal to one another, then the two straight lines must be parallel. 16. 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...

## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...on opposite sides of the common base. 4. If a straight line fall upon two paraHel straight lines 18 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 upon the same side together equal to two...