 | Elias Loomis - 1851 - 300 páginas
...equations are x— 0, y=-5. Ex.4. Determine the point whose equations are x=— 8, y=0. DEFINITION. — The equation of a line is the equation which expresses...between the co-ordinates of every point of the line. Also, a and b may PROPOSITION I. — THEOREM. (13.) The equation of a straight line referred to rectangular... | |
 | Albert Ensign Church - 1851 - 318 páginas
...general, any line, curved as well as straight, may be thus represented by its equation ; that is, by an equation which expresses the relation between the co-ordinates of every point of the line. Every such equation will contain two kinds of quantities, viz : variables and constants. The variables... | |
 | Albert Ensign Church - 1854 - 322 páginas
...the two curves to intersect in one or more points. OF THE PLANE. 54. The equation of a surface is an equation which expresses the relation between the co-ordinates of every point of the surface. A plane surface may be generated, by moving a straight line, so as to touch another straight... | |
 | Charles Davies, William Guy Peck - 1855 - 592 páginas
...Equations. EQUATIONS, INTEGRAL. See Integration of Differential Equations. EQUATION OF л CURVE, is an Equation which expresses the relation between the co-ordinates of every point of the curve. If the curve is referred to rectilinear axes, the 1 equation is called rectilinear ; if to a... | |
 | Charles Davies - 1867 - 362 páginas
...of the point D. This equation expresses the relation which exists between the co-ordinates of eveiy point of the circumference, and is called the equation...There are, therefore, two classes of quantities to be consid ered in analytical geometry ; 1st. The constant quantities, which preserve the same values in... | |
 | Gerardus Beekman Docharty - 1865 - 328 páginas
...coordinates are x' — + 6, y'= + 8; x"——6,y" = —8. Ans. 20. TUB STBAIGHT, LINE. 6. Definition. The equation of a line is the equation which expresses...between the co-ordinates of every point of the line. PROPOSITION II. 7. The equation of a straight line is y—ax+b, where a is the ratio of the sines of... | |
 | William Guy Peck - 1875 - 226 páginas
...equation of a straight line referred to rectangular axes. 11. The equation of a line is an equation that expresses the relation between the co-ordinates of every point of the line. Let AX and AY be rectangular co-ordinate axes; HQ, any straight line in their plane; P, any point of... | |
 | De Volson Wood - 1882 - 360 páginas
...ratio of infinitesimals when related to each other by known laws.] 24. The Equation of a Locus is an equation which expresses the relation between the coordinates of every point of the locus. The distance from the origin to the point where the locus cuts an axis is called the Intercept... | |
 | Edward Albert Bowser - 1880 - 314 páginas
...= }|Tr. .4ws. 7. 4. Find the distance between (5, 30°) and (6, 225°). Ans. 109. DEFINITIONS. 15. The Equation of a Line is the equation which expresses...between the co-ordinates of every point of the line. The term Locus is nearly synonymous with Geometric Figure; it is the series of positions to which a... | |
 | Edward Albert Bowser - 1880 - 334 páginas
...and a' = оо л/3. See Art. 172.] Ans. 30°. CHAPTER III. THE PLANE. 177. The Equation of a Plane is the equation which expresses the relation between the co-ordinates of every point of the plane. To find the equation of a plane. A plane may be generated by revolving a right line about its... | |
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The equation of a line is the equation which expresses the relation between the co-ordinates of every point of the line. 4. In the equation y... 