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adjacent altitude angle ACD ar.-comp bisect Book VIII centre chord circ circumference circumscribed column complement cone convex surface cosec cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equations equivalent feet figure find the area find the side formulas frustum given angle greater half hence homologous sides hypothenuse included angle inscribed circle intersection less Let ABC logarithm measured number of sides parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall polyedron prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio rectangle regular polygon right angled triangle RULE.—Multiply Scholium secant segment similar sine sine and cosine slant height solid angle solid described sphere spherical triangle square described straight line subtract tang tangent THEOREM three angles three sides triangle ABC triangular triangular prism vertex
Página 213 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 233 - It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure.
Página 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Página 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Página 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Página 155 - AG, AK. The two solids AG, AQ having the same base AEHD, are to each other as their altitudes AB, AO. In like manner, the two solids AQ, AK having the same base AOLE, are to each other as their altitudes AD, AM. Hence we have the two proportions sol.
Página 16 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Página 32 - ... is equal to twice as many right angles as the polygon