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" 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 straight lines shall be in one... "
Elements of Geometry, Conic Sections, and Plane Trigonometry - Page 20
by Elias Loomis - 1877 - 443 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...to two right angles, (ax. 1.) Wherefore when a straight line, &c. QE ». PROPOSITION 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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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...two other straight lines, CB and BD, on opposite sides of AB, make the adjacent angles ABC and ABD together equal to two right angles, these two straight lines are in one and the same straight line. For if BD be not in the same | with CB, let BE be in the same | with it ; then since CBE is a |, and...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...it but BD, which therefore is in the same straight line with CB. Wherefore, if at a point, &c. Cor. If, at a point in a straight line, two other straight lines meet on the opposite sides of it, and make equal angles with the parts of it on opposite sides of the...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1846 - 434 pages
...equations 4 x + 3 7 x — 29 _ 8 a: + 19 ' 9 *~ 5 x - 12 "" IS 8. " Prove that if at a point in a given straight line two other straight lines upon the opposite...straight lines are in one and the same straight line." 9. The wages of a servant were 40/. yearly and a suit of livery. After he had served five months he...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...to two right angles. Wherefore, The angles, which one straight line %c. <t. i:.j>. 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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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...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in AB let BC, BD, on the oppo. sides of...
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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...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in AB let BC, BD, on the oppo. sides of...
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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...straight lines are in one and the same straight line." 9. The wages of a servant were 40Z. yearly and a suit of livery. After he had served five months he...
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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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