Plane Geometry |
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Common terms and phrases
AB² ABCD AC² acute angle AD² adjacent angles altitude angles are equal apothem Appl base and altitude base angle BC² bisector bisects central angle centre chord circumf circumference circumscribed circle Cons decagon diagonals diameter dist distance divided Draw equal circles equally distant equiangular equilateral triangle EXERCISES exterior angle feet figure Find its area Find the area geometric given circle given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle length locus logarithm mantissa mean proportional meas measure median middle point number of sides parallel parallelogram perim perimeter perpendicular Problem produced PROPOSITION quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively rhombus right angle right triangle secant segments similar triangles subtended tang tangent Theorem third side trapezoid triangle ABC triangles are equal vertex vertical angle ΙΟ
Popular passages
Page 60 - A Circle is a plane figure bounded by a curved line, called the Circumference, every point of which is equally distant from a point within, called the centre; as ABC.
Page 90 - the product of two quantities is equal to the product of two others, the factors of either product may be made the extremes, and the factors of the other product the means of a proportion.
Page 89 - Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. A proportion may be written in either of
Page 44 - Theorem. The line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of it.
Page 107 - Theorem. If in a right triangle a, perpendicular is drawn from the vertex of the right angle to the hypotenuse, 1. The triangles formed are similar to the whole triangle and to each other.
Page 128 - Theorem. Two triangles having an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 78 - are divided into 360 equal parts called degrees, each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 218 - Prove two of the following propositions: The work may be limited to drawing a figure and giving a synopsis of the demonstration. (a) If the area of a regular polygon is equal to the product of the perimeter by one-half the apothem, it follows that the area of a circle
Page 150 - Circumferences of circles are to each other as their radii, or as their diameters; and the circles as the squares of their radii, or as the squares of their diameters.
Page 93 - In a continued proportion, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let ['• a