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

Robert Simson - Geometry - 1838 - 434 pages
...of it taken together less than "two right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right angles-. See the notes on prop. "29. of Book I." PROPOSITION I. PROBLEM. f To describe an equilateral triangle...
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...of it taken together less than "two right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right angles. See the notes on prop. "29. of Book I." THE ELEMENTS OF EUCLID. BOOK I. PROPOSITION I. PROBLEM. To...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...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 "...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 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." Instead of this proposition, which, though true, is by no means self-evident ; another that appeared...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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...length meet upon that side on which are the angles less than two right angles. AXIOMS. I. THINGS which are equal to the same are equal to one another....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...straight " lines, so as to make the two interior anples on the same side of it taken " together less than two right angles, these straight lines being...length meet upon that side on which are the angles AMONG the Axioms there have been made only two alterations. The 10th Axiom in Euclid is, that " two...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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." PROPOSITIONS. PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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 Jinite straight line. Let...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 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. A proposition is something either proposed to he done, or to he demonstrated, and iseither a problem...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 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. A proposition is something either proposed to be done, or to be demonstrated, and iseither a problem...
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