Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
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Σελίδα 33
... base or base extended , as CD . B 87. In an isosceles triangle , the legs are the equal sides , and the base is the remaining side . 88. In a right triangle , the hypotenuse is the side oppo- site the right angle , and the legs are the ...
... base or base extended , as CD . B 87. In an isosceles triangle , the legs are the equal sides , and the base is the remaining side . 88. In a right triangle , the hypotenuse is the side oppo- site the right angle , and the legs are the ...
Σελίδα 65
... base . Ex . 9 . If an angle at the base of an isosceles triangle is 50 ° , find the vertex angle . Ex . 10 . An exterior angle at the base of an isosceles triangle is 102 ° , find all the angles of the triangle . E QUADRILATERALS 143. A ...
... base . Ex . 9 . If an angle at the base of an isosceles triangle is 50 ° , find the vertex angle . Ex . 10 . An exterior angle at the base of an isosceles triangle is 102 ° , find all the angles of the triangle . E QUADRILATERALS 143. A ...
Σελίδα 67
Fletcher Durell. 152. The base of a parallelo- gram is the side upon which it is supposed to stand , as AB . The ... bases , as EF . 153. The bases of a trapezoid are its two parallel sides . The legs of a trapezoid are the sides which ...
Fletcher Durell. 152. The base of a parallelo- gram is the side upon which it is supposed to stand , as AB . The ... bases , as EF . 153. The bases of a trapezoid are its two parallel sides . The legs of a trapezoid are the sides which ...
Σελίδα 85
... base of an isosceles trape- zoid , lines be drawn parallel to the legs and produced to meet the other base , prove that a pair of equal triangles is formed . 189. Proof of the equality of lines . There are several methods of proving ...
... base of an isosceles trape- zoid , lines be drawn parallel to the legs and produced to meet the other base , prove that a pair of equal triangles is formed . 189. Proof of the equality of lines . There are several methods of proving ...
Σελίδα 86
... base be laid off on the legs of an isosceles triangle , lines drawn from the ends of these segments to the opposite vertices are equal . A R P B Ex . 5. Given AR || QB , and AP = PB ; prove RP PQ . Ex . 6. The bisector of the vertical ...
... base be laid off on the legs of an isosceles triangle , lines drawn from the ends of these segments to the opposite vertices are equal . A R P B Ex . 5. Given AR || QB , and AP = PB ; prove RP PQ . Ex . 6. The bisector of the vertical ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude base bisector bisects chord circumference circumscribed coincide cone of revolution denoted diagonal diameter dihedral angle divided equidistant equilateral triangle equivalent exterior angle figure Find the area Find the radius frustum geometric given circle given line given point Hence homologous sides hypotenuse intersect isosceles trapezoid isosceles triangle lateral area lateral edges Let the pupil line drawn measure midpoints number of sides opposite parallel lines parallelogram parallelopiped pass a plane perimeter perpendicular plane MN plane parallel polyhedron prism prismatoid produced proportional pyramid Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular polygon rhombus right angles right triangle secant segments similar slant height sphere spherical polygon spherical triangle square pyramid surface symmetrical tangent tetrahedron THEOREM trapezoid triangle ABC trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 54 - Every point in the bisector of an angle is equidistant from the sides of the angle. Hyp. Z DAB = Z DAC and 0 is any point in AD. To prove 0 is equidistant from AB and AC. Draw OP _L AB and OP' _L AC, and prove the equality of the two triangles.
Σελίδα 82 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 416 - Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abcd of the circular cone S-ABCD be parallel to the base. To prove that abcd is a circle.
Σελίδα 35 - The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line...
Σελίδα 193 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 450 - If two angles of a spherical triangle are equal, the sides opposite these angles are equal and the triangle is isosceles. Given the spherical triangle ABC, with angle B equal to angle C. To prove that AC = AB. Proof. Let A A'B'C ' be the polar triangle of A ABC.