Elements of Plane GeometryAmerican Book Company, 1901 - 247 Seiten |
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Seite 25
... AB and CD bisect each other ? 59. EXERCISE . In a given line find a point that is equally distant from two given points . When is this problem impossible ? PROPOSITION VII . THEOREM 60. The sum of the adjacent BOOK I 25.
... AB and CD bisect each other ? 59. EXERCISE . In a given line find a point that is equally distant from two given points . When is this problem impossible ? PROPOSITION VII . THEOREM 60. The sum of the adjacent BOOK I 25.
Seite 27
... Find the supplement and also the complement of each of the following angles : R.A. , ↓ R.A. , ¦ R.A. Find the value of each of two supplementary angles , if one is five times the other . 68. EXERCISE . complement . Given an angle ...
... Find the supplement and also the complement of each of the following angles : R.A. , ↓ R.A. , ¦ R.A. Find the value of each of two supplementary angles , if one is five times the other . 68. EXERCISE . complement . Given an angle ...
Seite 30
... Find the other three . 79. EXERCISE . The bisector of an angle bisects its vertical angle . 80. EXERCISE . Two lines intersect , making the sum of one pair of vertical angles equal to five times the sum of the other pair of vertical ...
... Find the other three . 79. EXERCISE . The bisector of an angle bisects its vertical angle . 80. EXERCISE . Two lines intersect , making the sum of one pair of vertical angles equal to five times the sum of the other pair of vertical ...
Seite 41
... joining the parallels , is also bisected . 126. EXERCISE . If AB and CD are parallel ( § 117 ) , and n = 1 } R.A. , find the values of the other seven angles . PROPOSITION XX . THEOREM 127. If two lines are cut BOOK 1 41.
... joining the parallels , is also bisected . 126. EXERCISE . If AB and CD are parallel ( § 117 ) , and n = 1 } R.A. , find the values of the other seven angles . PROPOSITION XX . THEOREM 127. If two lines are cut BOOK 1 41.
Seite 46
... Find the angles of a △ , if the second is twice the first , and the third is three times the second . 147. EXERCISE . Find the angles of an isosceles △ , if a base angle is one half the vertical angle . 148. EXERCISE . Given two ...
... Find the angles of a △ , if the second is twice the first , and the third is three times the second . 147. EXERCISE . Find the angles of an isosceles △ , if a base angle is one half the vertical angle . 148. EXERCISE . Given two ...
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Häufige Begriffe und Wortgruppen
AABC AB² ABC and DEF AC² adjacent angles altitudes angle formed angles equal apothem arc ABC arcs intercepted BC² bisector chord circles are tangent circum circumference Construct a triangle COROLLARY DEFINITION Describe a circle diagonals diameter divided EFGH equal circles equally distant equiangular polygon equilateral triangle EXERCISE exterior angles figure given angle given circle given line given point homologous homologous sides hypotenuse inscribed angle isosceles triangle joining the middle Let ABC Let To Prove line joining mean proportional medians meet middle points mutually equiangular opposite sides parallelogram passes perimeter perpendicular point of intersection prolonged PROPOSITION Prove ABCD Prove Proof quadrilateral ratio rectangle regular inscribed regular polygon rhombus right angles right-angled triangle SCHOLIUM secants segments Show similar polygons similar triangles straight line tangent THEOREM trapezoid triangle ABC unequal vertex vertical angle Whence ΔΑΒΟ ᎠᏴ
Beliebte Passagen
Seite 68 - 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.
Seite 163 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Seite 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Seite 120 - If a quadrilateral is circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair.
Seite 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Seite 203 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Seite 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Seite 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Seite 11 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Seite 61 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.