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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Σελίδα 46
των Euclides, James Hamblin Smith - 1879
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 548 σελίδες
...straight line, &c. QED PROP. XXVIII. THEOR. 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...

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

William Nicholson - 1809 - 716 σελίδες
...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 - 684 σελίδες
...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...

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

John Mason Good - 1813 - 714 σελίδες
...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 equal to two right ansies. Prop. XXX....

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

Euclides - 1816 - 592 σελίδες
...line, &c. QED PROP. XXVIII. THEOR. 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...

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

John Playfair - 1819 - 348 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...straight lines are parallel to one another. Let the straight line EF, which falls upon the two straight lines AB, CD, make the exterior angle EGB equal...

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

John Playfair - 1819 - 354 σελίδες
...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 too interior angles upon the same side together equal to two right angles. Let the...

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

John Mason Good - 1819 - 714 σελίδες
...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...

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

Euclid, Robert Simson - 1821 - 514 σελίδες
...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 equal to two right angles.* Let the...

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

William Nicholson - 1821 - 408 σελίδες
...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 CD, and E Fcut them in the points HG, then the angle AHG equals the...




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