## General Mathematics, Volume 2 |

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AABC ABCD acute altitude angle angles are equal base bisector called chord circle circumscribed common congruent construct Corollary definition determine diagonals diameter direction distance divided Draw drawn ends equal equal respectively equation equidistant example EXERCISES figure formed formula fractions geometric give given line given point greater homologous hypotenuse illustrate included inscribed interior angles intersect isosceles length line segment locus means measure method midpoint NOTE pair parallel lines parallelogram passed perimeter perpendicular placed plane polygon position preceding problem Proof proportional prove quadrilateral radius ratio REASONS rectangle relation represent result right angle right triangle Show sides similar solution solving square STATEMENTS straight line student SUGGESTION tangent theorem third transversal trapezoid triangle are equal true unit vertex vertices

### Popular passages

Page 368 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.

Page 255 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C' with UNEQUAL LINES AND UNEQUAL ANGLES Proof STATEMENTS Apply A A'B'C' to A ABC so that A'B

Page 115 - There are three important theorems in geometry stating the conditions under which two triangles are congruent: 1. 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 262 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.

Page 78 - Two triangles are congruent if two angles and the included side of one triangle are equal, respectively, to two angles and the included side of the other.

Page 331 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.

Page 432 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.

Page 267 - If the product of two numbers -is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.

Page 41 - If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.

Page 294 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.