Plane Geometry |
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Page 24
... buildings and bridges , much use is made of the triangle , as the " unit of rigidity . " Why is it possible for this bridge to be supported on a pier at the center ? * 10 . Show how to find the distance between. 24 PLANE GEOMETRY.
... buildings and bridges , much use is made of the triangle , as the " unit of rigidity . " Why is it possible for this bridge to be supported on a pier at the center ? * 10 . Show how to find the distance between. 24 PLANE GEOMETRY.
Page 116
... Unit of Measure . In measuring any quantity , some basis or standard is taken which is called the unit of measure , as the inch or centimeter . A unit of measure is a standard which is used for measuring quantities of the same kind ...
... Unit of Measure . In measuring any quantity , some basis or standard is taken which is called the unit of measure , as the inch or centimeter . A unit of measure is a standard which is used for measuring quantities of the same kind ...
Page 117
... unit of measure for measuring angles and is called an angle degree . One of the 360 equal arcs , intercepted by the equal angles , is taken as the unit of measure for measuring arcs and is called an arc degree . Then the number of angle ...
... unit of measure for measuring angles and is called an angle degree . One of the 360 equal arcs , intercepted by the equal angles , is taken as the unit of measure for measuring arcs and is called an arc degree . Then the number of angle ...
Page 145
... units . In the United States the meter is the standard unit of length from which all other units of length are determined . A convenient unit for measuring the length of the school room is a foot or a meter ; for measuring the length of ...
... units . In the United States the meter is the standard unit of length from which all other units of length are determined . A convenient unit for measuring the length of the school room is a foot or a meter ; for measuring the length of ...
Page 146
... unit of measure being 1 in . It is easy to see that any fractional part of this unit , also , could be used as a common unit of measure . Two lines that are 37 in . and 4,7 in . long respectively , have as a common unit of measure in ...
... unit of measure being 1 in . It is easy to see that any fractional part of this unit , also , could be used as a common unit of measure . Two lines that are 37 in . and 4,7 in . long respectively , have as a common unit of measure in ...
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Common terms and phrases
AABC ABCD acute angle ADEF adjacent adjacent angles altitude angle equal angles are equal base bisects chord circumference circumscribed circle construct a regular Construct a square corresponding sides decagon diagonals diameter distance divided drawing an angle drawn equal respectively equal sides equiangular polygon equilateral polygon equilateral triangle EXERCISES figure Find the area Find the length geometry given circle given line given point hypotenuse inch inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle median middle point number of degrees number of sides obtuse parallel lines parallelogram pentagon perimeter perpendicular bisector points equidistant prime numbers Proof protractor Prove quadrilateral radii radius ratio rectangle regular hexagon regular inscribed polygon regular octagon regular polygon rhombus right angle right triangle secant segment semicircle Show sides equal supplementary tangent Theorem transversal triangle ABC vertex vertex angle vertices
Popular passages
Page 153 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Page 189 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 139 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 233 - ... as the squares of their radii, or as the squares of their...
Page 80 - ... the third side of the first is greater than the third side of the second.
Page 148 - ... 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.
Page 94 - Theorem. In the same circle or in equal circles, equal chords are equidistant from the center; and of two unequal chords the greater is nearer the center. Given two equal © M, M ' , with chords AB = A'B', AE > A'B', and OC, OD, O'C' ±'s from center 0 to AB, AE, and from center O
Page 149 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Page 135 - The area of a rectangle is equal to the product of its base and altitude.
Page 148 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.