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" If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
Mensuration of Lines, Areas, Surfaces, and Volumes ... - Page xvi
by Robert Rawson - 1856
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...make the two internal angles on the same side together less than two right angles. {These '' stralgnt lines being continually produced, shall at length...that side on which are the angles which are less than tw .right angles. If two straight lines are parallel. t They are equidistant. I.30 If two straight...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...same side of it, taken together, less than two right angles, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are less than two right angles. The propositions already referred to enable us to see distinctly...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...straight lines, \ so as to make the two interior angles on the \ same side of it, taken together, less than \ two right angles, these straight lines, being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 346 pages
...straight lines, so as to make the two interior angles on the same side of it taken " together less than two right angles, these straight lines being...' produced, shall at length meet upon that side on w^^^ <»•« the angle* " which are less than two right angles." Instead of this proposition, which,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...as to make the two int. angles on the same side of it together less than two rt. angles, these st. lines, being continually produced, shall at length meet upon that side on which are the angles less than two rt. angles. Def. 35. Parallel lines are such as are in the same plane, and which being...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles ; these straight lines being...are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pages
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to two right ^ angles. These straight lines being continually...that side on which are the angles which are less than tiro right angles. f They are equidistant. They are parallel to each other. They are themselves equal...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...to make the two int. ¿_a on the same side of it taken together less than two rt. ¿s, these two st. lines, being continually produced, shall at length meet upon that side on which the ¿s are less than two rt. ¿_a. Dof. 10, I. When a st. line standing on another st. line makes...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...straight lines, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines being...the angles which are less than two right angles.' PROP. I. — PROBLEM. To describe an equilateral triangle upon a given finite straight line. •(References...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...two straight lines, so as to make the two interior angles on the same side of it taken together, less than two right angles, these straight lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. EXPLANATION OF TERMS. A...
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