Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
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Σελίδα 32
Fletcher Durell. TRIANGLES 81. A triangle is a portion of a plane bounded by three straight lines , as the triangle ABC . 82. The sides of a triangle are the lines which bound it ; the perimeter of a triangle is the sum of the sides ...
Fletcher Durell. TRIANGLES 81. A triangle is a portion of a plane bounded by three straight lines , as the triangle ABC . 82. The sides of a triangle are the lines which bound it ; the perimeter of a triangle is the sum of the sides ...
Σελίδα 33
... triangle is a triangle one of whose angles is a right angle . An obtuse , triangle is a triangle one of whose angies is an obtuse angle . An acute triangle is a triangle all of whose angles are acute angles ... triangle is a TRIANGLES 33.
... triangle is a triangle one of whose angles is a right angle . An obtuse , triangle is a triangle one of whose angies is an obtuse angle . An acute triangle is a triangle all of whose angles are acute angles ... triangle is a TRIANGLES 33.
Σελίδα 34
... triangle is a line drawn from a vertex of the triangle to the middle point of the opposite side . How many medians has a triangle ? 90. Two mutually equiangular triangles are triangles having their corresponding angles equal . 91 ...
... triangle is a line drawn from a vertex of the triangle to the middle point of the opposite side . How many medians has a triangle ? 90. Two mutually equiangular triangles are triangles having their corresponding angles equal . 91 ...
Σελίδα 35
... triangle is 4 inches , what is its perimeter ? Ex . 2. Is it possible to form a triangle whose sides are 6 , 9 and 17 inches ? Try to do this with the compasses and ruler . Ex . 3. Is it possible to form a triangle in which one side is ...
... triangle is 4 inches , what is its perimeter ? Ex . 2. Is it possible to form a triangle whose sides are 6 , 9 and 17 inches ? Try to do this with the compasses and ruler . Ex . 3. Is it possible to form a triangle in which one side is ...
Σελίδα 36
... triangle , to lins be azurn to the extremities of one side of the triangle , the sum of the other two sides of the triangle is greater than the sum of the two lines so drawn . B Given P any point within the triangle ABC , and PA and PC ...
... triangle , to lins be azurn to the extremities of one side of the triangle , the sum of the other two sides of the triangle is greater than the sum of the two lines so drawn . B Given P any point within the triangle ABC , and PA and PC ...
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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.