A New System of Mathematics: Containing Plane Geometry; General Investigation of Areas, Surfaces, and Solids; Greatest and Least Quantities; Trigonometry; Logarithms; Motion, ... To which is Prefixed the First Principles of Algebra, by Way of Introduction. By John Muller, ... |
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A New System of Mathematics: Containing Plane Geometry, General ... John Muller No preview available - 2017 |
A New System of Mathematics: Containing Plane Geometry, General ... John Muller No preview available - 2017 |
Common terms and phrases
2ab+bb aa-ab added altitude angle of elevation bafe becauſe cafes called circle circumfcribed circumference co-efficients cofine confequent corner row decimals decreaſe defcribed denominator diagonal divided divifion divifor double equal angles equation equiangular polygons equiangular triangles expreffed expreffion factors faid falling body fecond fegment feries fhews fhillings fide AC fides AB fign fince firſt folid force impreffed fpace fquare root fraction fubtracted fuch furface gives greateſt half the fum Hence Horizontal Ranges increaſes infcribed inftants interfection laft laſt leaft leaſt lefs leſs likewife meaſure merator multiply the fum muſt natural logarithm negative neral oppofite angles parallel parallelogram perpendicular pofitive polygons PROP proportional quotient radii radius ratio rectangle reft reſpects right angle rule ſame ſhall ſpace moved ſquare ſum tangent term theſe thoſe tiplied triangle ABC unfiniſhed unity uſed vaniſhes velocity whofe whole numbers
Popular passages
Page 5 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Page 22 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Page 13 - ... by which the ratio which the firft A has to the laft D is fignified, and by which at the fame time the ratios of all the magnitudes A to B, B to C, C to D from the firft to the laft, to one another, whether they be the...
Page 79 - ... will be doubled in the fecond, tripled in the third, quadrupled in the fourth, and fo on continually thro...
Page 3 - AB, the angles ADE, EDB, at the fame fide of it, are together equal to two right angles. Let CD be perpendicular to AB ; then as the greateft angle ADE exceeds the right angle ADC, by the angle CDE, or by as much as the leaft EDB wants of it; thefe two angles are together equal to two right angles.
Page 67 - IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference.
Page 15 - ... the product of the means is equal to that of the extremes...
Page 83 - For fince the action of gravity is conftant and uniform in whatever time it generates any velocity in a falling body, in the fame time...
Page i - ... to practice, in the different ufeful arts of life to which mathematical knowledge may be conveniently applied ; and hereby fave both time and expence, as well as prevent that difguit occafioned to many ftudents from a 'tedious round of intricate and at the fame time tifelefs fpeculations.
Page 6 - AC ; the angle A to the angle D, and the angle C to the angle F oppofite to the equal fides.