Second-year Mathematics for Secondary Schools |
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Second-Year Mathematics for Secondary Schools George William Myers,Ernst R 1874- Breslich No preview available - 2016 |
Common terms and phrases
ABCD algebraic angles are equal bisects central angles chord circumscribed polygon concurrent lines congruent triangles construct decagon denoted diagonals diameter diedral angle distance divided Draw drawn equal arcs equilateral triangle EXERCISES factors Find the length Find the value following theorems formula fractions geometry given circle given line given point Hence hexagon homologous sides hypotenuse inscribed angle intercepted arcs interior angles intersecting isosceles line perpendicular line-segments lines parallel locus of points mathematics mean proportional measure median midpoints number of sides one-half parallelogram perimeter perpendicular bisector problem quadratic equations quadrilateral radii radius ratio rectangle regular inscribed polygon regular polygon rhombus right angle right triangle secant segment Show side opposite similar triangles sphere square root straight line subtended subtraction tangent Theorem third side transversal trapezoid triangle ABC triangle is equal trigonometric unequal vertex
Popular passages
Page 320 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 6 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 340 - 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 241 - If two sides of one triangle are equal to two sides of another triangle...
Page 69 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Page 5 - If two parallel lines are cut by a transversal, the corresponding angles are equal.
Page 304 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Page 200 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 339 - I label the two new points e and/.' With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Page 197 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.