 | Great Britain. Committee on Education - 1847 - 624 σελίδες
...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 - 606 σελίδες
...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 - 128 σελίδες
...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 - 52 σελίδες
...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 - 120 σελίδες
...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...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,... | |
 | Elias Loomis - 1849 - 252 σελίδες
...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... | |
 | 1851 - 502 σελίδες
...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 - 1852 - 152 σελίδες
...of it, make the adjacent angles tot/ether equal to two right angles, these two straight lines sliall be in 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 angles ABC,... | |
 | Popular educator - 1852 - 842 σελίδες
...<.••»<//'•» on op/write tidet of it, or the two angles on the tame tick, of it. either two right angles, or together equal to two right angles, these two straight lines shall be either in' the same ttraight line, or shall coincide with each other. It will be a useful exercise... | |
 | Euclides - 1853 - 146 σελίδες
...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...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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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. 
