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, Volume 2
Algebra altitude base bisected called centre chord circle circumference CN▓ co-sec co-sine co-tan compasses Conic Sections conjugate hyperbola cube cubic cubic equation curve described diameter difference distance divided draw drawn EC▓ ellipse equal Euclid Euclid's Elements EXAMPLES.-1 find the area former Geometry given equation given straight line greater Hence hyperbola inches infinite series latter latus rectum likewise logarithms measure method multiplied odd number parabola parallel parallelogram perpendicular plane PN▓ polygon problem prop proportionals proposed proposition protractor Q. E. D. Cor quadrant quotient radius rectangle regular polygon right angles roots rule scale secant shewn sides sine solidity square substituted subtracted tangent theor theorems third triangle unknown quantity VC▓ versed sine whence wherefore whole numbers
Page 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.
Page 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.
Page 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.
Page 272 - But things which are equal to the same are equal to one another (Ax.
Page 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 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.
Page 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.
Page 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.