| Great Britain. Admiralty - 1846
...ZCBE + ZDBE =ZDBA+ Z.ABC ; AX.I. but ACBE + ^DBE = 2 rt. /.s, .-. /. DBA + L ABC = 2 rt. L s. Ax K **Therefore the angles, &c. PROP. XIII. THEOR. 14. 1...let BC, BD, on the oppo. sides of AB, make the adj.** /. s ABC + /.ABD= 2 rt. /.s; then shall BD be in the same straight line with BC. A / but L ABC + L... | |
| Euclides - 1846
...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...one and the same 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... | |
| John Playfair - 1846 - 317 sider
...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... | |
| Great Britain. Committee on Education - 1846
...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.... | |
| Great Britain. Council on Education - 1846
...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.... | |
| Great Britain. Committee on Education - 1847
...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...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... | |
| Great Britain. Committee on Education - 1847
...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...lines shall be in one and the same straight line.** 2. Any two sides of a triangle are together greater than the third side. SECTION II. 1. To divide a... | |
| Euclides - 1847
...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.... | |
| Euclides - 1848
...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 shall be in one and the same straight line.** PROP. XV. THEOREM. EUCLID S ELEMENTS. COR. 1. From this it is manifest, that, if two straight lines... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...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...one and the same 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... | |
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