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IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... - Σελίδα 1
επεξεργασία από - 1901
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...&c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one...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...

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

1835 - 684 σελίδες
...those two straight lines are parallel . . . cor. 13 (e) And conversely, 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 upon the same side, and the two interior angles...

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

1836 - 488 σελίδες
...right angles ; the two straight lines are parallel to one another. XXIX. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two...

## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...alternate angles ; therefore AB is parallel to CD. PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate...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 companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 σελίδες
...and :. that AB |] CD. PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite upon the same side; and the two interior angles upon the same side together equal to two right angles....

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

John Playfair - 1837 - 332 σελίδες
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal tu two...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...very ingenious and conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite upon the tame side ; and likewise the two interior angles upon the same side together equal to two...

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

Euclides - 1841 - 378 σελίδες
...parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...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 right...

## Chambers's Information for the People, Τόμος 2

William Chambers, Robert Chambers - 1842 - 938 σελίδες
...to CD. But the 29th proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight lines, it makes the alternate...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: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...parallel to CD. Wherefore if a straight line, &c. QED PEOP. XXIX. THEOR. IF a straight line fall upon two parallel straight lines it makes the alternate...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...