Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
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Σελίδα 14
... and COB are vertical angles . 34. A line or a plane which divides B FIG . 15 . any geometrical magnitude into two equal parts is called the Bisector of that magnitude . MEASUREMENT OF ANGLES 35. To measure a magnitude is to 14 GEOMETRY .
... and COB are vertical angles . 34. A line or a plane which divides B FIG . 15 . any geometrical magnitude into two equal parts is called the Bisector of that magnitude . MEASUREMENT OF ANGLES 35. To measure a magnitude is to 14 GEOMETRY .
Σελίδα 25
... bisectors of two supplementary adjacent angles ? Ex . 15. If a line drawn through the vertex of two vertical angles bisects one angle , how does it divide the other ? ( § 37 ) Ex . 16. If one of the vertical angles formed by the ...
... bisectors of two supplementary adjacent angles ? Ex . 15. If a line drawn through the vertex of two vertical angles bisects one angle , how does it divide the other ? ( § 37 ) Ex . 16. If one of the vertical angles formed by the ...
Σελίδα 34
... bisectors of two adjacent angles are perpendicular to each other . What is the relation of the given angles to each other ? Ex . 31. Two lines are cut by a transversal . In what direction do they extend with reference to each other , if ...
... bisectors of two adjacent angles are perpendicular to each other . What is the relation of the given angles to each other ? Ex . 31. Two lines are cut by a transversal . In what direction do they extend with reference to each other , if ...
Σελίδα 35
... bisector of an angle at the vertex , how does it divide the supplementary adjacent angle formed by producing one side of the given angle through the vertex ? Proposition XVI 81. 1. Construct two angles whose corresponding sides PLANE ...
... bisector of an angle at the vertex , how does it divide the supplementary adjacent angle formed by producing one side of the given angle through the vertex ? Proposition XVI 81. 1. Construct two angles whose corresponding sides PLANE ...
Σελίδα 37
... bisectors of two adjacent angles form an angle of 45 ° . What is the relation of the given angles to each other ? Ex . 40. Two angles are supplementary , and the greater is five times the less . How many degrees are there in each angle ...
... bisectors of two adjacent angles form an angle of 45 ° . What is the relation of the given angles to each other ? Ex . 40. Two angles are supplementary , and the greater is five times the less . How many degrees are there in each angle ...
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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.