Examination Questions in Mathematics: Third Series, 1911-1915
Ginn and Company, 1915 - Mathematics - 60 pages
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Examination Questions in Mathematics. Third Series, 1911-1915
College Entrance Examination Board
No preview available - 2016
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a. m. Six questions ALGEBRA angle Answer both questions answer-book what text-book base candidate is requested cent chord circle circular COMPLETE cone Construct contains cover cylinder decimal places determinants diagonals distance divided equal Express extra credit Factor feet figure Find the area Find the number Find the value functions GEOMETRY Tuesday Give given points gold graphs greater GROUP half height hour inches included intersect length less locus logarithms MATHEMATICS means miles Monday Omit one question opposite parallel parallelogram passed perpendicular plane plot preparation progression proportional Prove quadrant questions are required radius respectively rest right angles right spherical triangle roots Rule of Signs satisfy the equation secant segment Show sides similar Simplify six questions Solve sphere square straight line surface tangent textbook of Geometry theorem third TRIGONOMETRY volume Write
Page 47 - 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.
Page 46 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Page 25 - Three men, A, B, and C, can do a piece of work in 18, 24, and 36 hours, respectively.
Page 36 - If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar.
Page 38 - It follows from § 259 that if through a fixed point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Page 46 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Page 46 - If from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other secant and its external segment.
Page 44 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Page 36 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. c Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is obtuse. To prove a. = V + c2 + 2cp. Proof. a2 = K
Page 36 - Two triangles are congruent if the three sides of the one are equal, respectively, to the three sides of the other.