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" if a straight line," &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 another ; and the exterior angle equal to the interior and opposite upon the same... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 26
των Euclid - 1835 - 513 σελίδες
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 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
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 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 British Encyclopedia, Or Dictionary of Arts and Sciences ..., Τόμος 5

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

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 σελίδες
...angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal, the exterior angle...

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

Euclid - 1810 - 518 σελίδες
...alternate angles equal to one ano- "huprop ther; and the exterior angle equal to the interior andsitioiv opposite upon the same side; and likewise the two...interior angles upon the same side together equal to two/right angles. V Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate...

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

John Mason Good - 1813
...shall be parallel. Prop. XXVIII. Theor. If n straight line falling upon two others traight 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...

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

Euclides - 1814
...alternate angles equal to oneJ^""" 0 , another; and the exterior angle equal to the inte- »ti'm. rior and opposite upon the same side ; and likewise the...parallel straight lines AB, CD; the alternate angles AGH, GH D, are equal to one another ; and the exterior angle EGB is equal to the interior and opposite,...

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

Euclides - 1816 - 528 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...




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