A system of practical mathematics; being no.xvi. of a new series of school-books |
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Página 128
... radius and the perpendicular from the centre , on the side of that which has half the number of sides . For the As ... radius would be less than the half of IG , and still more less than the fourth of EC . Cor . By continually doubling ...
... radius and the perpendicular from the centre , on the side of that which has half the number of sides . For the As ... radius would be less than the half of IG , and still more less than the fourth of EC . Cor . By continually doubling ...
Página 130
... radius of the circle be 1 , then CD is equal to ; for if EC were joined , ECB would evidently be an equilateral triangle , and the perpendicular on CB would bisect it , ( Prop . 7 , cor . 2. ) .. AD would be ( 1 + 1 ) = 3 , and AB would ...
... radius of the circle be 1 , then CD is equal to ; for if EC were joined , ECB would evidently be an equilateral triangle , and the perpendicular on CB would bisect it , ( Prop . 7 , cor . 2. ) .. AD would be ( 1 + 1 ) = 3 , and AB would ...
Página 151
... radius = the square of GI . .. the lamina thus added to the cone and sphere are together equal to the lamina added to the cylinder , and the same is evidently true at any other point . Hence the cone and hemisphere together are equal to ...
... radius = the square of GI . .. the lamina thus added to the cone and sphere are together equal to the lamina added to the cylinder , and the same is evidently true at any other point . Hence the cone and hemisphere together are equal to ...
Página 152
... of an equilateral triangle to the opposite side , is equal to three times the radius of the inscribed circle . 19. If perpendiculars be drawn from the extremities of a 152 GEOMETRICAL EXERCISES . Geometrical Exercises,
... of an equilateral triangle to the opposite side , is equal to three times the radius of the inscribed circle . 19. If perpendiculars be drawn from the extremities of a 152 GEOMETRICAL EXERCISES . Geometrical Exercises,
Página 153
... radius of another circle , any straight line drawn from the point where they meet to the outer circumference is ... radius divided medially ; the side of a reg- ular hexagon is equal to the radius ; and the side square of a regu- lar ...
... radius of another circle , any straight line drawn from the point where they meet to the outer circumference is ... radius divided medially ; the side of a reg- ular hexagon is equal to the radius ; and the side square of a regu- lar ...
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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...