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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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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 σελίδες
...ftraight line, &c. Q^ ED PROP. XXIX. THE OR. See N. TF a ftraight line fall upon two parallel ftraight J. lines, it makes the alternate angles equal to one...; and the exterior angle equal to the interior and oppofite upon the fame fide ; and likewife the two interior angles upon the fame fide together equal...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...line, &c. Q^ED PROP. XXIX. THEOR. IF a ftraight line falls upon two parallel ftraight lines, VT Scc the it makes the alternate angles equal to one another...;. and the exterior angle equal to the interior and oppofite fltion upon the fame fide; and likewife the two interior angles upon the fame fide together...

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

John Playfair - 1806 - 320 σελίδες
...AB in a point between G and K. Therefore, if two straight lines, &c. QED PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines it makes the alternate angles equal to each other, the exterior equal to the interior and opposite on the same side, and the two interior...

The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 5

William Nicholson - 1809 - 684 σελίδες
...to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite augle on the same side ; and likewise, the two interior angles upon the same side, together, equal...

The British encyclopedia, or, Dictionary of arts and sciences, Τόμος 5

William Nicholson - 1809 - 716 σελίδες
...Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angle« equal to one another ; and the exterior angle equal...interior and opposite angle on the same side ; and likewise, the two interior angles upon the same side, together, equal to two right angles. If AB, (fig....

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...two straight lines shall be parallel to one another. 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...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 9

William Nicholson - 1821 - 402 σελίδες
...to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate...interior and opposite angle on the same side , and likewise the two interior angles upon the same side, together, equal to two right angles If AB (fig....

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

John Playfair - 1819 - 350 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 to'o interior angles upon the same side together equal to two...

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

John Playfair - 1819 - 354 σελίδες
...doctrine of parallel lines would in this manner be freed from all difficulty. PROP. III. 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 * Prop. 1 1. Sup. The reference to this proposition involves nothing...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 9

William Nicholson - 1821 - 406 σελίδες
...to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate...interior and opposite angle on the same side ; and likewise the two interior angles upon the same side, together, equal to two right angles If AB (fig....




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