Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 84
... semicircle . Otherwise one is called the major arc and the other the minor arc . Unless otherwise indicated AB means the minor Tangent Secant Minor Arc B A Major Arc In case of ambiguity a third letter may be used , as arc AmB . An arc ...
... semicircle . Otherwise one is called the major arc and the other the minor arc . Unless otherwise indicated AB means the minor Tangent Secant Minor Arc B A Major Arc In case of ambiguity a third letter may be used , as arc AmB . An arc ...
Página 88
... semicircle is an arc of 180 ° . A right angle is , there- fore , measured by a quadrant and a straight angle is meas- ured by a semicircle . A sector is a figure formed by two radii and their intercepted arc . Thus , the sector BCA is ...
... semicircle is an arc of 180 ° . A right angle is , there- fore , measured by a quadrant and a straight angle is meas- ured by a semicircle . A sector is a figure formed by two radii and their intercepted arc . Thus , the sector BCA is ...
Página 94
... semicircles . On DC and DC ' as bases construct equilateral triangles with vertices O and O ' . With radius equal ... semicircle . The line LP meets SN in M K , and BK meets MN in O ' . H G N K E ( a ) Prove that EFGH is a square ...
... semicircles . On DC and DC ' as bases construct equilateral triangles with vertices O and O ' . With radius equal ... semicircle . The line LP meets SN in M K , and BK meets MN in O ' . H G N K E ( a ) Prove that EFGH is a square ...
Página 97
... pattern makers use a square as indicated in the figure to test whether or not the core is a true semicircle . Is this method correct ? Prove . 215. THEOREM . The arcs intercepted by two parallel chords STRAIGHT LINES AND CIRCLES . 97.
... pattern makers use a square as indicated in the figure to test whether or not the core is a true semicircle . Is this method correct ? Prove . 215. THEOREM . The arcs intercepted by two parallel chords STRAIGHT LINES AND CIRCLES . 97.
Página 101
... semicircle is a right angle . 2. If the sides of a right angle pass through the extremities of a diameter , show that its vertex lies on the circle . 3. If a triangular ruler MNO , right - angled at O , is moved about in the plane so ...
... semicircle is a right angle . 2. If the sides of a right angle pass through the extremities of a diameter , show that its vertex lies on the circle . 3. If a triangular ruler MNO , right - angled at O , is moved about in the plane so ...
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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,