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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. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 26
by Euclides - 1871
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Report of the Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - Education - 1846 - 474 pages
...8 x + 19 9 5 x - 12 18 8. " Prove that if at a point in a given straight line two other strain-lit lines upon the opposite sides of it make the adjacent...equal to two right angles, these two straight lines are in one and the same straight line." 9. The wages of a servant were 40Z. yearly and a suit of livery....
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...constructed. The converse of the Proposition may be thus demonstrated : — PROP. G. THEOR. GEN. ENHN. — If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the vertical angles equal, these two straight lines shall be in one and the same straight line. PART. ENUN....
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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...equal to two right angles, these two straight lines shall be in one and the same straight line. 3. Equal triangles on the same base and on the same side...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...ALGEBRA. SECTION I. Prove that, 1. If at a point in a given straight line two other straight lines on the opposite sides of it make the adjacent angles...equal to two right angles, these two straight lines shall be in one and the same straight line. 2. Any two sides of a triangle are together greater than...
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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...equal to two right angles, these two straight lines shall be in one and the same straight line. PROP. XV. THEOREM. EUCLID S ELEMENTS. COR. 1. From this...
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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...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight...
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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...equal to two right angles, these two straight lines are in one and the same straight line. then will BD be in the same straight line with CB. For, if BD...
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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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...equal to two right angles. Wherefore, the angles which one straight line, &c. QED PROP. XIV. THEOREM. If at a point in a straight line, two other straight...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B, in the straight line AB, let the two straight...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...line, &c. QED PROPOSITION XIV. — THEOREM. If , at a point in a straight line, two other straiglit lines, upon the opposite sides of it, make the adjacent...equal to two right angles, these two straight lines shall be in one and the same straight line. AT the point b in the straight line ab, let the two straight...
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