Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 5
... construct the figure required and to make the particular enunciation from it . Many pupils , who are quite unable to do this preliminary work , after it is done can readily discover a proof or a solution . In many exercises in this book ...
... construct the figure required and to make the particular enunciation from it . Many pupils , who are quite unable to do this preliminary work , after it is done can readily discover a proof or a solution . In many exercises in this book ...
Σελίδα 35
... the difference of the other two sides is 12 inches ? Ex . 4. On a given line as base , by exact use of ruler and com- passes , construct an equilateral triangle . PROPOSITION V. THEOREM 95. If , from a point within TRIANGLES 35.
... the difference of the other two sides is 12 inches ? Ex . 4. On a given line as base , by exact use of ruler and com- passes , construct an equilateral triangle . PROPOSITION V. THEOREM 95. If , from a point within TRIANGLES 35.
Σελίδα 40
... construct exactly an equilateral triangle above the line and another below it . Ex . 2. On a given line as base , construct exactly an isosceles triangle whose leg shall be equal to a given line ; make the same con- struction below the ...
... construct exactly an equilateral triangle above the line and another below it . Ex . 2. On a given line as base , construct exactly an isosceles triangle whose leg shall be equal to a given line ; make the same con- struction below the ...
Σελίδα 42
... Construct two equilateral triangles on the same base , one above and the other below , and join the two vertices . Prove that the line joining the vertices bisects the vertex angles , and also bisects the base at right angles . Ex . 2 ...
... Construct two equilateral triangles on the same base , one above and the other below , and join the two vertices . Prove that the line joining the vertices bisects the vertex angles , and also bisects the base at right angles . Ex . 2 ...
Σελίδα 45
... . Which is the longest side of a right triangle ? of an obtuse triangle ? Ex . 2. Construct exactly an equilateral triangle , each of whose sides is half a given line . PROPOSITION XV . THEOREM ( CONVERSE OF PROP . XIV TRIANGLES 45.
... . Which is the longest side of a right triangle ? of an obtuse triangle ? Ex . 2. Construct exactly an equilateral triangle , each of whose sides is half a given line . PROPOSITION XV . THEOREM ( CONVERSE OF PROP . XIV TRIANGLES 45.
Άλλες εκδόσεις - Προβολή όλων
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.