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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... "
Pennsylvania School Journal - 413. oldal
1878
Teljes nézet - Információ erről a könyvről

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

John Mason Good - 1819 - 800 oldal
...equal to two rirhc angles ; the two straight lines shall be parallefto one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight...angle equal to the interior and opposite upon the »ame side : and likewise the two interior angles upon the same side together equal to two right angles....

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

William Nicholson - 1821 - 402 oldal
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle on the same side , and likewise the two interior angles upon the same side, together, equal to...

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

John Playfair - 1819 - 350 oldal
...line, &c. Q, ED PROP. XXVIII. THEOR. If a straight line falling upon two oiher straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles; the...

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

John Playfair - 1819 - 354 oldal
...would in this manner be freed from all difficulty. PROP. III. 29. I. 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 itivolveB...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 oldal
...angles: therefore AB is parallel to CD. Wherefore,' if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight...the same side together equal to two right angles.* Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate angles, AGH, GHD...

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

William Nicholson - 1821 - 406 oldal
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side, together, equal to...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 oldal
...8tc. QED Proposition XXriII. Theorem. If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ¡...

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

Euclid, John Playfair - 1826 - 506 oldal
...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 and opposite on the same side ; and likewise the two interior...

Elements of Geometry: With Notes

John Radford Young - 1827 - 246 oldal
...a point between G and K, therefore, &c. PROPOSITION n. (29. I. 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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 oldal
...straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same s1de of the line / or make the interior angles upon the same side together equal to two right angles...




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