| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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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