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acres acute adjacent altitude answer approximately base bisect bisector BOOK centre characteristic chord circle circumference circumscribed College common Construct decimal Define described diagonals diameter difference distance divided drawn equal equivalent exterior external extreme feet figure Find the area find the length Find the number Find the radius Find the side foot formed four GEOMETRY Give given given point greater half hexagon homologous sides HOURS hypotenuse inches included increase inscribed intercepted interior intersect isosceles June less line joining logarithm mantissa meet metres middle points miles one-half opposite sides parallel parallelogram pentagon perimeter perpendicular problems projection Prove quadrilateral radii radius ratio rectangle regular hexagon regular polygon respectively right angles School scribed secant segments Show similar triangles square square feet straight line subtended supplement tangent third side trapezoid triangle units University vertex vertices yards
Σελίδα 77 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 76 - If four quantities are in proportion, they are in proportion by composition, ie the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Σελίδα 90 - 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 98 - 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 62 - 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 65 - 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 71 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 85 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.