A system of practical mathematics; being no.xvi. of a new series of school-books |
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Página 86
... describe the circle EFH , ( Post . 3 ) , and from the centre B , with a radius equal to D , describe a circle EGH ; and from the point E , where the circles F A B H C D cut each other , draw the Is AE and EB , ( Post . 1 ) , then AEB ...
... describe the circle EFH , ( Post . 3 ) , and from the centre B , with a radius equal to D , describe a circle EGH ; and from the point E , where the circles F A B H C D cut each other , draw the Is AE and EB , ( Post . 1 ) , then AEB ...
Página 101
... describe the square ADEB , D through C draw CF || to AD or BE , = C B FE -n each of the figures , AF , CE , is a rectangle , and they together AE . But AF is the rectangle AB AC , for is contained by AD and AC , and AD is AB , being es ...
... describe the square ADEB , D through C draw CF || to AD or BE , = C B FE -n each of the figures , AF , CE , is a rectangle , and they together AE . But AF is the rectangle AB AC , for is contained by AD and AC , and AD is AB , being es ...
Página 130
... be drawn to AB , from the extremity B , of the A B straight line AB , and = the half of AB ; join AC , and produce it to E , and from the centre C , with the radius CB , describe the semicircle DBE , and from AB 130 PLANE GEOMETRY .
... be drawn to AB , from the extremity B , of the A B straight line AB , and = the half of AB ; join AC , and produce it to E , and from the centre C , with the radius CB , describe the semicircle DBE , and from AB 130 PLANE GEOMETRY .
Página 131
Scottish school-book assoc. CB , describe the semicircle DBE , and from AB cut off AF AD ; then since AB is perpendicular to CB , it is a tangent to the circle at B ; .. ( Prop . 67 ) , EA ; AB = AB : AD ; but since DE and AB are each ...
Scottish school-book assoc. CB , describe the semicircle DBE , and from AB cut off AF AD ; then since AB is perpendicular to CB , it is a tangent to the circle at B ; .. ( Prop . 67 ) , EA ; AB = AB : AD ; but since DE and AB are each ...
Página 154
... describe arcs intersecting in D , and join BD ; the angle ABC will be bisected by the BD . PROBLEM III . B B A To trisect a right angle ABC ' ; that is , to divide it into three equal parts . From the centre B with any radius , describe ...
... describe arcs intersecting in D , and join BD ; the angle ABC will be bisected by the BD . PROBLEM III . B B A To trisect a right angle ABC ' ; that is , to divide it into three equal parts . From the centre B with any radius , describe ...
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A System of Practical Mathematics: Being No.XVI. of a New Series of School-Books Scottish School-Book Assoc Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD acres altitude annuity base bisected breadth bushels cask cent centre chord circle circumference coefficient common Cosec Cosine cubic denominator depth diagonal diameter difference distance divided divisor draw equal equation EXAMPLE EXERCISES feet figure Find the area Find the sum Find the surface fraction frustum gallons gauge given greater height hence hypotenuse inches LADC latitude least common multiple length less logarithm miles Multiply number of sides parallel Parallel Sailing parallelogram parallelopipeds perpendicular plane Plane Sailing poles polygon prism Prop proportional PROPOSITION pyramid quotient radius ratio remainder right angles RULE sailed SCHOLIUM Secant Cotang segment side AC Sine slant height solid angles specific gravity square root station straight line subtract surd surface and solidity Tang tangent THEOREM trapezium triangle ullage unknown quantities yards
Pasajes populares
Página 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 113 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...
Página 77 - 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.
Página 78 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Página 82 - ... is supposed . to be divided into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Página 78 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 134 - To draw a straight line perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH.
Página 116 - ... of the base, have the same ratio which the other sides of the triangle have to one...
Página 69 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 123 - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...