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" 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 ; the two straight... "
A Complete Epitome of Practical Navigation, and Nautical Astronomy ... - Σελίδα 36
των John William Norie, J. W. Saul - 1917 - 595 σελίδες
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...exterior angle equal to the interior and position. opposite upon the same side ; and likewise the two interior angles upon 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,...

The British encyclopedia, or, Dictionary of arts and sciences

William Nicholson - 1809
...the 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 two right angles. If AB, (fig. 5) be parallel to С D, and EF cut them in the points HG, then the angle AHG equals the...

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

William Nicholson - 1809
...the 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 to two right angles. If AB, (fig. 5) be parallel to CD, and £ F cut them in the points HG, then the angle AHG equals the...

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

Euclid - 1810 - 518 σελίδες
...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...parallel to one another. Let the straight line EF, which .E falls upon the two straight lines \ ,AB, CD, make the exterior angle \G EGB equal to the interior...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...straight lines shall be parallel. Prop. XXVIII. Theor. If n straight line falling upon two others traight lines makes the exterior angle equal to the interior...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...

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

Euclides - 1814
...another. AB therefore is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXVIII. THEOR. IF a straight line falling upon two other straight...parallel to one another. Let the straight line EF, p which falls upon the two ^ straight lines AB, CD, make \ the exterior angle EGB equal y \G- p to...

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

Euclides - 1816 - 528 σελίδες
...exterior angle equal to the inte-sit10"' rior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. „ ' . Let the straight line EF fell upon the parallel straight lines AB, CD ; the alternate angles...

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

John Playfair - 1819 - 333 σελίδες
...exterior angle equal to the interior and opposite upon the same side of the line; or makes the imerior angles upon the same side together equal to two right angles ; the two straight lines are parallel to one another. Let the straight line EF, which falls upon the two straight lines AB,...

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

John Playfair - 1819 - 317 σελίδες
...and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon 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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1819
...and the exterior 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. Prop. XXX. Theor. Straight lines which are parallel to ihc same straight line, are parallel to one...




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