New Elements of Mathematics: Or Euclid Corrected. Containing Plane Gometry; 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 |
Other editions - View all
New Elements of Mathematics: Or Euclid Corrected. Containing Plane Gometry ... John Muller No preview available - 2016 |
New Elements of Mathematics: Or Euclid Corrected. Containing Plane Gometry ... John Muller No preview available - 2019 |
Common terms and phrases
2ab+bb added alſo altitude arc BM bafe baſe becauſe cafes circle circumference co-efficients cofine confequent corner row crooked tube decimals decreaſes defcended degrees denfity denominator deſcribed diameter difference diſtance divided divifion divifor equal angles equation equiangular expreffed expreffion factors faid falling body fecond fegment feries fhews fide AC fides AB fign fince firſt fluid fluxion folid fquare root fraction fubtracted fuch furface gives greateſt Hence increaſes interfection itſelf laft laſt leaft leaſt lefs leſs likewife logarithm meaſure motion multiplied muſt natural logarithm neral oppofite parallel parallelogram perpendicular plane PMmp pofitive preffed PROP proportion quantities quickfilver quotient radii radius ratio reaſon rectangle refiftance reft repreſented right angle ſame ſhall ſpace moved ſpecific gravity ſquare tangent term thefe theſe thoſe thro triangles unity unknown number uſed vaniſhes velocity weight whofe whoſe
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 37 - ADB ; and the area of a circle is equal to the product of the radius into half the circumference.
Page 18 - 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 9 - ... 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 xxxv - They are likewife multiplied and divided as whole numbers, by making as many decimals in -the product, as there are in both factors; and in the quotient, as there are more in the dividend than in the divifor.
Page 103 - BFC, as the fquare of the radius is to the fquare of the tangent of half the angle BAC oppofite to the bafe.
Page 63 - 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 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 astheleaftEDB wants of it; thefe two angles are together equal to two right angles.
Page 75 - ... will be doubled in the fecond, tripled in the third, quadrupled in the fourth, and fo on continually thro...
Page 79 - 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...