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, Volum 2Bartlett and Newman ; [etc., etc..], 1814 |
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Side 49
... idea of ratio with that of proportion , as some through inattention have done : he must bear in mind , that ratio is simply the comparison of one quantity to another , both being quantities of the same kind ; whereas proportion is the ...
... idea of ratio with that of proportion , as some through inattention have done : he must bear in mind , that ratio is simply the comparison of one quantity to another , both being quantities of the same kind ; whereas proportion is the ...
Side 62
... ideas implied by the terms of the definition , should be more obvious to the mind than the idea of the thing defined , " otherwise the definition fails of its purpose ; it leaves us just as wise as it found us . Wherefore , supposing ...
... ideas implied by the terms of the definition , should be more obvious to the mind than the idea of the thing defined , " otherwise the definition fails of its purpose ; it leaves us just as wise as it found us . Wherefore , supposing ...
Side 98
... idea of a measure with that of an aliquot part : had it been said that every aliquot part of the whole measures the half , the assertion would have been perfectly accurate . Should the freedom of the above remarks require an apology , I ...
... idea of a measure with that of an aliquot part : had it been said that every aliquot part of the whole measures the half , the assertion would have been perfectly accurate . Should the freedom of the above remarks require an apology , I ...
Side 250
... IDEA results from perception ; it is the representation or impression of the thing perceived on the mind , and which it has the power of renewing at pleasure . 4. The power which the mind possesses of retaining its ideas , and renewing ...
... IDEA results from perception ; it is the representation or impression of the thing perceived on the mind , and which it has the power of renewing at pleasure . 4. The power which the mind possesses of retaining its ideas , and renewing ...
Side 251
... ideas by means of it from within . 7. A SIMPLE IDEA is that which cannot be divided into two or more ideas ; thus the ideas of green , red , hard , soft , sweet , & c . are simple . 8. A COMPLEX IDEA is that which arises from joining ...
... ideas by means of it from within . 7. A SIMPLE IDEA is that which cannot be divided into two or more ideas ; thus the ideas of green , red , hard , soft , sweet , & c . are simple . 8. A COMPLEX IDEA is that which arises from joining ...
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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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 272 - But things which are equal to the same are equal to one another (Ax.
Side 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Side 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.
Side 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.
Side 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.
Side 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