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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. "
Euclid - Page 31
by Euclid, Rupert Deakin - 1903 - 164 pages
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
.../_», .'. Z DBA + L ABC = 2 rt. L s. Ax ' '• Therefore the angles, &c. PROP. XIII. THEOR. 14. 1 Eu. 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...rt. /.s, .-. /. DBA + L ABC = 2 rt. L s. Ax K Therefore the angles, &c. PROP. XIII. THEOR. 14. 1 Eu. 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...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...equal angles shall be equal. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make the adjacent angles together...lines shall be in one and the same straight line. 3. Equal triangles on the same base and on the same side of it are between the same parallels. SECTION...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1847 - 624 pages
...equal angles shall be equal. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make the adjacent angles together...lines shall be in one and the same straight line. 3. Equal triangles on the same base and on the same side of it are between the same parallels. Section...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
....'.remaining / DBC = remaining L ECB : ie L* below the base are =.— QED PROP. XIV. THEOR. GEN. ENUN. — 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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...of it, are either two right angles, or are together equal to two right angles. PROP. XIV. THEOREM. 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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...equal to that of the two adjacent angles BAD, DAF. PROPOSITION HI. THEOREM (Converse of Prop. II.). 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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...are together equal to two right angles. Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...SECTION I.—1. If at a point in a 'given straight line, two other straight lines on the opposite side of it make the adjacent angles together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment...
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The popular educator, Volumes 1-2; Volume 5

Popular educator - 1852 - 842 pages
...<.••»<//'•» on op/write tidet of it, or the two angles on the tame tick, of it. either two right angles, or together equal to two right angles, these two straight lines shall be either in' the same ttraight line, or shall coincide with each other. It will be a useful exercise...
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