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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 Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 22
by Euclid - 1810 - 518 pages
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...any number of lines meeting in one point, are together equal to four right angles. PROP. XIV. THEOR. straight lines shall be in one and the same straight line. At the point в in the straight line AB, let the two straight lines вc, BD upon the opposite sides of AB make the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...together equal to two right angles. Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOR. — If, at a point in a straight line, two other straight...straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB, make the adjacent angles ABC,...
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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...straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB, make the adjacent angles ABC,...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, 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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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...straight line. At the point B in the straight line AB, let the two straight lines BC, BD, upon the opposite sides of AB, make the adjacent angles ABC,...
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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...one and the same straight line. At the point B in AB let BC, BD, on the oppo. sides of AB, make the adj. /. s ABC + /.ABD= 2 rt. /.s; then shall BD be...
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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...one and the same straight line. At the point B in AB let BC, BD, on the oppo. sides of AB, make the adj. /_ s ABC + Z.ABD= 2 rt. /_s; then shall BD be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. //, 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. At the point B in the straight line AB, let the two straight...
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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...equal to two right angles, these two straight lines are in one and the same straight line." 9. The wages of a servant were 40/. yearly and a suit of livery....
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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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