Junior High School Mathematics: 1st-3d Book, Book 3, Part 2H. Holt, 1923 - Mathematics |
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Common terms and phrases
acute angle alternate-interior angles Analysis angle formed angles are equal angles of congruent angles opposite arc degrees ARST Axiom bisects central angle chord circumcenter coincide complete proof congruent triangles construct a triangle Corollary corresponding angles corresponding sides diagonals equal angles equal respectively equal sides equilateral triangle Exercises geometric Given circle given line given point hypotenuse Hypothesis included angle included side inscribed angle intercepted arc interior angles intersecting isosceles triangle LAPB line XY lines AC lines are cut mean proportional mid-point number of degrees opposite sides parallel lines parallelogram perpendicular bisector point C fall point equally distant polygon Postulate Proof of Theorem prove the triangles pupil quadrilateral radius ratios rectangle rhombus right angle right triangle segments Show straight angle straight line tangent Theorem VII three sides transversal trapezoid triangle are equal triangles ABC triangles are congruent triangles are similar vertex vertical angle ZABC
Popular passages
Page 37 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Page 5 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Page 38 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 8 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Page 26 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 27 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 16 - Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other.
Page 55 - To measure a quantity is to find how many times it contains another quantity of the same kind, called a unit of measurement.
Page 37 - If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, show that a parallelogram is formed whose perimeter is equal to the sum of the equal sides of the triangle.
Page 68 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.