An Easy Introduction to the Mathematics: In which the Theory and Practice are Laid Down and Familiarly Explained ... A Complete and Easy System of Elementary Instruction in the Leading Branches of the Mathematics; ... Adapted to the Use of Schools, Junior Students at the Universities, and Private Learners, Especially Those who Study Without a Tutor. In Two Volumes, Band 2Bartlett and Newman ; [etc., etc..], 1814 |
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... applied DISCOUNT , its Rules investigated and applied . THE DOCTRINE OF RATIOS . Continued Fractions PROPORTION , Direct . • • Inverse , or Reciprocal Proportion Harmonical Proportion Contra - harmonical Proportion 36 • and applied 39 ...
... applied DISCOUNT , its Rules investigated and applied . THE DOCTRINE OF RATIOS . Continued Fractions PROPORTION , Direct . • • Inverse , or Reciprocal Proportion Harmonical Proportion Contra - harmonical Proportion 36 • and applied 39 ...
Seite 2
... applied by Thomas Harriot , the father of modern algebra , about 1620 ; likewise by Oughtred in 1631 , Des Cartes in 1637 , and afterwards by Wallis , Newton , Leibnitz , the Bernoullis , Baker , Raphson , Sterling , Euler , & c . and ...
... applied by Thomas Harriot , the father of modern algebra , about 1620 ; likewise by Oughtred in 1631 , Des Cartes in 1637 , and afterwards by Wallis , Newton , Leibnitz , the Bernoullis , Baker , Raphson , Sterling , Euler , & c . and ...
Seite 52
... applied to different ratios by the early writers , which is necessary to be understood by those who read the works either of the ancient mathematicians , or of their commentators , and may be - seen in Chambers ' and Hutton's Dictionary ...
... applied to different ratios by the early writers , which is necessary to be understood by those who read the works either of the ancient mathematicians , or of their commentators , and may be - seen in Chambers ' and Hutton's Dictionary ...
Seite 53
... 3 : 4 and 2 : 3 , or the sum of the ratios 3 : 4 and 2 ; 3 . : 41. If the ratio a : b be compounded E 3 PART IV . 53 RATIOS . Inverse, or Reciprocal Proportion Harmonical Proportion Contra-harmonical Proportion 36 and applied.
... 3 : 4 and 2 : 3 , or the sum of the ratios 3 : 4 and 2 ; 3 . : 41. If the ratio a : b be compounded E 3 PART IV . 53 RATIOS . Inverse, or Reciprocal Proportion Harmonical Proportion Contra-harmonical Proportion 36 and applied.
Seite 82
... of any two terms equally distant from the extremes : hence , in And z + - 2 2 + + r2 metrical 82 PART IV , ALGEBRA . COMPARISON OF VARIABLE AND DEPENDENT QUANTITIES GEOMETRICAL PROGRESSION Its Rules investigated and applied.
... of any two terms equally distant from the extremes : hence , in And z + - 2 2 + + r2 metrical 82 PART IV , ALGEBRA . COMPARISON OF VARIABLE AND DEPENDENT QUANTITIES GEOMETRICAL PROGRESSION Its Rules investigated and applied.
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Häufige Begriffe und Wortgruppen
Algebra arithmetical progression base biquadratic equation bisected called centre chord circle circumference CN² co-sec co-sine co-tan common compasses Conic Sections conjugate hyperbola cube cubic equation curve described diameter difference distance divided draw drawn EC² ellipse equal equiangular Euclid EUCLID'S ELEMENTS EXAMPLES.-1 former fourth Geometry given equation given ratio given straight line greater Hence hyperbola infinite series latter latus rectum likewise logarithms magnitude measure method multiplied odd number parabola parallel parallelogram perpendicular plane PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectilineal figures right angles roots rule scale secant segments shewn sides sine square substituted subtracted tangent theor theorems third unknown quantity VC² versed sine whence wherefore whole numbers
Beliebte Passagen
Seite 320 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Seite 405 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Seite 287 - TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Seite 66 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Seite 272 - But things which are equal to the same are equal to one another (Ax.
Seite 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Seite 263 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Seite 281 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Seite 294 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Seite 190 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of