Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 7
... figure placed within each angle , together with an arc connecting its sides , is a convenient notation . The sign is used for the word angle . Thus in the figure we have Z1 , Z2 , Z3 , read , angle one , angle two , angle three . 3 1 2 ...
... figure placed within each angle , together with an arc connecting its sides , is a convenient notation . The sign is used for the word angle . Thus in the figure we have Z1 , Z2 , Z3 , read , angle one , angle two , angle three . 3 1 2 ...
Página 10
... figure the ray AC rotates about the point A from the position AB to the position AD . What change takes place in 21 ... figure on page 4 . TRIANGLES AND THEIR NOTATION . 21. If the points A , B , C do not lie in the same straight ...
... figure the ray AC rotates about the point A from the position AB to the position AD . What change takes place in 21 ... figure on page 4 . TRIANGLES AND THEIR NOTATION . 21. If the points A , B , C do not lie in the same straight ...
Página 12
... figure ; also ten acute triangles . CONGRUENCE OF GEOMETRIC FIGURES . 26. In comparing geometric figures it is assumed that they may be moved about at will , either in the same plane or out of it , without changing their shape or size ...
... figure ; also ten acute triangles . CONGRUENCE OF GEOMETRIC FIGURES . 26. In comparing geometric figures it is assumed that they may be moved about at will , either in the same plane or out of it , without changing their shape or size ...
Página 13
... figures is congruent to the same figure they are congruent to each other . Hence if we make a pattern of a figure , say on tracing paper , and then make a second figure from this pattern , the two figures are congruent to each other ...
... figures is congruent to the same figure they are congruent to each other . Hence if we make a pattern of a figure , say on tracing paper , and then make a second figure from this pattern , the two figures are congruent to each other ...
Página 15
... figure and read the scale where OC crosses it . Then place the protractor on the other angle B'O'C ' and see whether ... FIGURES . 15.
... figure and read the scale where OC crosses it . Then place the protractor on the other angle B'O'C ' and see whether ... FIGURES . 15.
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Términos y frases comunes
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects called central angle chord circle tangent circumscribed coincide congruent corresponding sides Definition diagonal diameter distance divided dodecagon Draw drawn equal angles equal circles equiangular equilateral triangle EXERCISES exterior angle figure Find the area Find the locus Find the radius fixed point geometric Give the proof given point given segment given triangle Hence hypotenuse hypothesis inches inscribed intersection isosceles trapezoid isosceles triangle l₁ length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perigon perimeter plane proof in full quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angles right triangle secant semicircle Show shown square straight angle straight line subtend SUGGESTION THEOREM trapezoid triangle ABC vertex vertices width
Pasajes populares
Página 223 - If two triangles have two sides of the one equal to two sides of the other...
Página 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 60 - 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 46 INTERCEPTS BY PARALLEL LINES.
Página 182 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Página 161 - 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.
Página 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Página 210 - The area of a rectangle is equal to the product of its base and altitude.
Página 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,