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" If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
A Mathematical Solution Book Containing Systematic Solutions to Many of the ... - Page 378
by Benjamin Franklin Finkel - 1888 - 481 pages
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...one another. XIL " 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...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. PROBLEM....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...another. XII. " 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...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." [These are truths which...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...one another. 12. If a right line meet two other right lines, so as to make the two interior angles on the same side of it taken together less than two right angles, these two right lines being continually induced, shall at length meet on that side on which are the angles,...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...one another. XII. 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...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. — PROBLEM....
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...one another. XII. " If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. — PROBLEM....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...one another, 12. 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...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROPOSITION...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...right angles, these straight lines (AB and CD) being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. DEMONSTRATION. For if the two straight lines j AB and CD do not meet when continually produced, they...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...interior angles on the same side of it, when taken together, less than two right angles, then those two straight lines, being continually produced, shall at length meet on that side of the cutting line on which are the angles that are together less than two right angles. OBS. I ....
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...AXIOM XII. — 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, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are less than two right...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...another. XII. 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...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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