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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... or three of the figures in Part X. are very indifferently cut , but it is hoped that there is nothing which can possibly mislead , or affect the demonstrations . 1 AN EASY INTRODUCTION TO THE MATHEMATICS , & c ALGEBRA PAGE.
... or three of the figures in Part X. are very indifferently cut , but it is hoped that there is nothing which can possibly mislead , or affect the demonstrations . 1 AN EASY INTRODUCTION TO THE MATHEMATICS , & c ALGEBRA PAGE.
Seite 3
... DEMONSTRATION of the problem , and frequently the COMPOSITION . 9. When the value of any quantity , which was at first un- known , is found and expressed in known terms , the translat- ing of this value out of algebraic into common ...
... DEMONSTRATION of the problem , and frequently the COMPOSITION . 9. When the value of any quantity , which was at first un- known , is found and expressed in known terms , the translat- ing of this value out of algebraic into common ...
Seite 4
... demonstration ; instances are given of de- ducing theorems and of deriving canons or rules from the analy- sis ... demonstrations , and the third to the proof that a proposed practical operation is actually performed and done . We have ...
... demonstration ; instances are given of de- ducing theorems and of deriving canons or rules from the analy- sis ... demonstrations , and the third to the proof that a proposed practical operation is actually performed and done . We have ...
Seite 64
... demonstration of the Rule of Three , except that part of it which respects the reducing of the terms : but the latter is obvious ; since in order to compare quantities , it is plain we must bring them to a sim- ple form , and likewise ...
... demonstration of the Rule of Three , except that part of it which respects the reducing of the terms : but the latter is obvious ; since in order to compare quantities , it is plain we must bring them to a sim- ple form , and likewise ...
Seite 100
... , as ap- pears by actual division . P See Wood's Algebra , third Edition , p . 45. The above is a demonstration of the rule in page 148. of the first volume . COR . Hence if the product of any two numbers 100 PART IV . ALGEBRA .
... , as ap- pears by actual division . P See Wood's Algebra , third Edition , p . 45. The above is a demonstration of the rule in page 148. of the first volume . COR . Hence if the product of any two numbers 100 PART IV . ALGEBRA .
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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