Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 12
... divide it into two parts , or into two complementary angles . 9. Draw a straight angle and divide it into two parts , or into two supplementary angles . 10. Draw two straight lines crossing or intersecting each other , thus forming two ...
... divide it into two parts , or into two complementary angles . 9. Draw a straight angle and divide it into two parts , or into two supplementary angles . 10. Draw two straight lines crossing or intersecting each other , thus forming two ...
Σελίδα 14
... COB are vertical angles . 34. A line , or a plane , which divides any geometrical magnitude into two B FIG . 15 . equal parts is called the Bisector of that magnitude . MEASUREMENT OF ANGLES 35. To measure a magnitude is to 14 GEOMETRY .
... COB are vertical angles . 34. A line , or a plane , which divides any geometrical magnitude into two B FIG . 15 . equal parts is called the Bisector of that magnitude . MEASUREMENT OF ANGLES 35. To measure a magnitude is to 14 GEOMETRY .
Σελίδα 18
... dividing a common fraction by a common fraction , and a decimal by a decimal , have been taught , a remark showing that precisely the same principles are involved in each process is a scholium . The enunciation of a theorem may be ...
... dividing a common fraction by a common fraction , and a decimal by a decimal , have been taught , a remark showing that precisely the same principles are involved in each process is a scholium . The enunciation of a theorem may be ...
Σελίδα 25
... divide the other ? ( § 37 ) Ex . 16. If one of the vertical angles formed by the intersection of two straight lines is 37 ° , what is the value of each of the other angles ? Ex . 17. Lines are drawn to bisect the two pairs of vertical ...
... divide the other ? ( § 37 ) Ex . 16. If one of the vertical angles formed by the intersection of two straight lines is 37 ° , what is the value of each of the other angles ? Ex . 17. Lines are drawn to bisect the two pairs of vertical ...
Σελίδα 35
... 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 GEOMETRY . — BOOK I. 35.
... 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 GEOMETRY . — BOOK I. 35.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 103 - 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 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - 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 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - 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 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 88 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.