Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 7
... angle is a figure formed by two rays proceeding from the same point . The point is the Vertex Side vertex of the angle and the rays are its sides . The angle formed by two rays is said to be the angle between them or simply their angle ...
... angle is a figure formed by two rays proceeding from the same point . The point is the Vertex Side vertex of the angle and the rays are its sides . The angle formed by two rays is said to be the angle between them or simply their angle ...
Página 9
... formed are equal , each angle is called a right angle , and the ray is said to be D perpendicular to the line . 2 Perpendicular 1 A B Thus , if 21 = 22 , each angle is a right angle and AC is then said to be perpendicular to BD . Since ...
... formed are equal , each angle is called a right angle , and the ray is said to be D perpendicular to the line . 2 Perpendicular 1 A B Thus , if 21 = 22 , each angle is a right angle and AC is then said to be perpendicular to BD . Since ...
Página 10
... angle has one and only one bisector . C D 2/1 A B 4. How many rays perpendicular to BD at the point A can be drawn ... formed by the three segments , AB , BC , and CA , is called a triangle . The segments are the sides of the triangle , and ...
... angle has one and only one bisector . C D 2/1 A B 4. How many rays perpendicular to BD at the point A can be drawn ... formed by the three segments , AB , BC , and CA , is called a triangle . The segments are the sides of the triangle , and ...
Página 18
... angle lies within the other . 1 3 Thus , 21 and 2 are adjacent , while 21 and 23 are not adjacent . The sum of two angles is the angle formed by the sides not common when the two angles are placed adjacent . Thus , 23 = 21 + Z2 . If Z3 ...
... angle lies within the other . 1 3 Thus , 21 and 2 are adjacent , while 21 and 23 are not adjacent . The sum of two angles is the angle formed by the sides not common when the two angles are placed adjacent . Thus , 23 = 21 + Z2 . If Z3 ...
Página 29
... angle or of equal angles are equal . For they are the remainders when the given equal angles are sub- tracted from ... formed by two intersecting straight lines is a right angle , then all are right angles . 2. Show that the rays ...
... angle or of equal angles are equal . For they are the remainders when the given equal angles are sub- tracted from ... formed by two intersecting straight lines is a right angle , then all are right angles . 2. Show that the rays ...
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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,