Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
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Αποτελέσματα 1 - 5 από τα 46.
Σελίδα 85
... Inscribed Angle . Angle ACB is an inscribed angle . An angle whose vertex is in the arc of a segment , and whose sides pass through the extremities of the arc , is said to be inscribed in the segment . 189. A polygon is said to be ...
... Inscribed Angle . Angle ACB is an inscribed angle . An angle whose vertex is in the arc of a segment , and whose sides pass through the extremities of the arc , is said to be inscribed in the segment . 189. A polygon is said to be ...
Σελίδα 91
... inscribed quadrilateral meet in a common point ? Ex . 187. If a diameter of a circle bisects a chord , how does it divide the subtended arc ? In what direction does it extend with reference to the chord ? Ex . 188. If a diameter of a ...
... inscribed quadrilateral meet in a common point ? Ex . 187. If a diameter of a circle bisects a chord , how does it divide the subtended arc ? In what direction does it extend with reference to the chord ? Ex . 188. If a diameter of a ...
Σελίδα 103
... propor- tion of the total angular magnitude about a point in a plane , that the arc intercepted by its sides is of the whole circumference . Proposition XVII 225. 1. Draw a circle and an inscribed PLANE GEOMETRY . - BOOK II . 103.
... propor- tion of the total angular magnitude about a point in a plane , that the arc intercepted by its sides is of the whole circumference . Proposition XVII 225. 1. Draw a circle and an inscribed PLANE GEOMETRY . - BOOK II . 103.
Σελίδα 104
... inscribed angle measured ? 2. Draw other inscribed angles no one of whose sides is a diameter and draw a diameter from the vertex of each . By what part of its arc is each inscribed angle measured ? 3. If inscribed angles are subtended ...
... inscribed angle measured ? 2. Draw other inscribed angles no one of whose sides is a diameter and draw a diameter from the vertex of each . By what part of its arc is each inscribed angle measured ? 3. If inscribed angles are subtended ...
Σελίδα 105
... inscribed in the same segment of a circle , or in equal segments of the same circle , or of equal circles are equal . B 227. Cor . II . An angle inscribed in a semi- circle is a right angle . A B D 228. Cor . III . An angle inscribed in ...
... inscribed in the same segment of a circle , or in equal segments of the same circle , or of equal circles are equal . B 227. Cor . II . An angle inscribed in a semi- circle is a right angle . A B D 228. Cor . III . An angle inscribed in ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABCD AC² adjacent angles angle formed angles are equal apothem arc intercepted base and altitude BC² bisector bisects CD² central angle chord circle whose center circumference circumscribing circle compare in length Construct a square Construct a triangle Data diagonals diameter divided equal circles equidistant equilateral triangle exterior extremities FGHJK given line given parallelogram given point given triangle Hence homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc meet middle point MILNE'S number of sides opposite sides parallel lines perimeter perpendicular produced proportion prove Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular inscribed regular polygon rhombus right angle right triangle secant similar polygons similar triangles square equivalent subtended tangent Theorem third side transversal trapezoid triangle ABC triangle equivalent triangle is equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Σελίδα 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Σελίδα 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.