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A B C a o whose radius acres adjacent altitude answer base bisect bisector centre characteristic chord circle circumference circumscribed College common Construct decimal Define described diagonals diameter difference distance divided draw drawn equal equilateral equivalent exterior external extreme feet figure Find the area find the length Find the radius Find the side foot formed four GEOMETRY Give given greater half hexagon homologous sides HOURS hypotenuse inches included increase inscribed intercepted interior intersect isosceles June less line joining logarithm mantissa mean meet metres middle points miles one-half opposite sides parallel parallelogram perimeter perpendicular plane problems projection proportional Prove quadrilateral radii radius ratio rectangle regular hexagon regular polygon respectively right angles School scribed secant segments Show square square feet straight line subtended tangent third side trapezoid triangle units University vertex vertices yards
Σελίδα 102 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 94 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 102 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 141 - When the length of the primary unit of this system was determined it was supposed to be one ten-millionth of the distance from the equator to the pole.
Σελίδα 66 - OA will be 13 inches. 3. Prove that an angle formed by a tangent and a chord drawn through its point of contact is the supplement of any angle inscribed in the segment cut off by the chord. What is the locus of the centre of a circumference of given radius which cuts at right angles a given circumference? 4. Show that the areas of similar triangles are to each other as the squares of the homologous sides. 5. Prove that the square described upon the altitude of an equilateral triangle has an area...
Σελίδα 69 - Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Σελίδα 75 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 89 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.