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