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, Τόμος 2
Bartlett and Newman ; [etc., etc..], 1814
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Algebra arithmetical progression base biquadratic biquadratic equation bisected called centre chord circle circumference co-secant co-sine co-tangent coefficient common common logarithms compasses Conic Sections cube cubic cubic equation curve diameter diff difference distance divided divisors draw drawn ellipse equal Euclid Euclid's Elements ExAMPLEs.-1 find the sum find the value former fourth fraction Geometry given equation greater Hence infinite series latter latus rectum likewise measure method multiplied number of terms odd number parabola parallel parallelogram perpendicular plane problem prop proportionals proposed proposition Q. E. D. Cor quadrant quotient radius rectangle remainder right angles rule secant second term shewn side sine square number square root straight line substituted subtracted tangent theor theorem third unknown quantity versed sine whence wherefore whole numbers
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 272 - But things which are equal to the same are equal to one another (Ax.
Σελίδα 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.