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added altitude angle answer applied base building called CHAPTER circle coincide column computation construct contains cord corner corresponding cosine desired difference distance divided division draw drawn edge equal equation example EXERCISE expression extremity factors fall feet field figure Find fixed scale formula fraction functions given given line greater height inches included intersecting length less locate manner mark means measured method minus minutes multiply necessary NOTE obtain opposite parallel parenthesis perpendicular plane pole polygon Problem Proof proportion Prove quantity radius ratio rectangle right angle right triangle Rule side similar sine Solution Solve square stake straight line student Substituting subtract Theorem units vernier vertex width write written
Page 116 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 102 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet — 1 square yard (sq. yd.) 30^ square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Page 173 - If four quantities are in proportion, they are in proportion by inversion; that is, the second term is to the first as the fourth is to the third.
Page 232 - In a triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle...
Page 119 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 171 - In any proportion, the product of the means is equal to the product of the extremes.
Page 138 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Page 48 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Page 43 - Two triangles are equal if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other...
Page 55 - At a given point in a given straight line, to construct an angle equal to a given angle. Let A be the given point in the straight line AB, and O the given angle.