Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 84
... circle is called a chord . A chord which passes through the center is a diameter . CHAPTER II . STRAIGHT LINES AND ... tangent is a straight line which touches a circle in one point but does not cut it . An indefinite straight line ...
... circle is called a chord . A chord which passes through the center is a diameter . CHAPTER II . STRAIGHT LINES AND ... tangent is a straight line which touches a circle in one point but does not cut it . An indefinite straight line ...
Página 85
... tangent . Arcs of two circles are tangent to each other if the complete circles of which they form a part are tangent to each other . Subtended Chord Central Angle ... CIRCLE . 189. Radii or diameters STRAIGHT LINES AND CIRCLES . 85.
... tangent . Arcs of two circles are tangent to each other if the complete circles of which they form a part are tangent to each other . Subtended Chord Central Angle ... CIRCLE . 189. Radii or diameters STRAIGHT LINES AND CIRCLES . 85.
Página 86
... tangent to each of two circles at the same point , then the circles do not intersect , but are tangent to each other at this point . See § 186 . 196. If two arcs of the ... circle or in equal 86 PLANE GEOMETRY . Theorems on the Circle.
... tangent to each of two circles at the same point , then the circles do not intersect , but are tangent to each other at this point . See § 186 . 196. If two arcs of the ... circle or in equal 86 PLANE GEOMETRY . Theorems on the Circle.
Página 89
... circle . C A D EB Given ABCD at D. To prove that AB is tangent to the circle ; that is , does not meet it in any other point than D. Proof : Let be any point of AB other than D. Draw ... tangent to a STRAIGHT LINES AND CIRCLES . 89.
... circle . C A D EB Given ABCD at D. To prove that AB is tangent to the circle ; that is , does not meet it in any other point than D. Proof : Let be any point of AB other than D. Draw ... tangent to a STRAIGHT LINES AND CIRCLES . 89.
Página 90
... tangent to a circle , it is perpendicular to the radius drawn to the point of tan- gency . A D EB Given CD with a line AB tangent to the circle at D. To prove that ABCD at D. Proof : If CD is not ⊥ AB , then some other line , as CE ...
... tangent to a circle , it is perpendicular to the radius drawn to the point of tan- gency . A D EB Given CD with a line AB tangent to the circle at D. To prove that ABCD at D. Proof : If CD is not ⊥ AB , then some other line , as CE ...
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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,