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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
The Elements of Geometry, Symbolically Arranged - Page 23
by Great Britain. Admiralty - 1846
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...and BXP. But each of these last is a right A . .-. AXY + BXY = twort. As. Proposition 14. THEOREM — If at a point in a straight line, two other straight lines, on. the opposite sides of it, make the adjacent angles together equal to tivo right angles, these two...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...hi a straight line two other straight lines on opposite sides of it make adjacent angles which are together equal to two right angles, these two straight...lines shall be in one and the same straight line. 15. If two straight lines cut one another, the vertically opposite angles shall be equal. 16. If one...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...straight line on one side of it are either two right angles or are together equal to two right angles. 14. If at a point in a straight line two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...straight lines meet in a point, the angles formed shall be together equal to four right angles. i 14. If at a point in a straight line two other straight lines on opposite sides of it make adjacent angles which are together equal to two right angles, these two...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...supplementary. PROPOSITION 14. THEOREM. If, at a point in a straight line, two otlier straight lines, on opposite sides of it, make the adjacent angles together equal to two right angles, then these two straight lines shall be in one and the same straight Kv,e. At the point B in the straight...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...equal. 7. With the construction of Question 6 shew that FA bisects the angle BAC. Proposition 14. 91. If at a point in a straight line, two other straight lines on opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...produced to G and the angle IiAG bisected, the two bisecting lines are at right angles. PROPOSITION 14. If, at a point in a straight line, two other straight lines, on opposite sides of it, make the adjacent angles together equal to two rigM angles, these two straight...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1895 - 450 pages
...n consequence 3f the supposition. Prop. 3 might be enunciated thus : Hypothesis, if, at a point na straight line, two other straight lines upon the opposite sides of it make the idjacent angles together equal to two right angles, then, Conclusion, these two straight lines are...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...produced to G and the angle BAG bisected, the two bisecting lines are at right angles. PROPOSITION 14. If, at a point in a straight line, two other straight lines, on opposite sides of it, make the adjacent angles together equal to two right angles, these two straight...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...produced in order, all the exterior angles so formed are together equal to four right angles. 18 4. If at a point in a straight line, two other straight lines, on opposite sides of it, make tlie adjacent angles togethercqii.il to two right nn^lis, then these...
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