Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
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Σελίδα 33
... altitude of a triangle is the perpendicular from the vertex to the base or base extended , as CD . B 87. In an ... Altitudes , bisectors , medians . In any triangle , any side may be taken as the base ; hence the altitudes of a triangle ...
... altitude of a triangle is the perpendicular from the vertex to the base or base extended , as CD . B 87. In an ... Altitudes , bisectors , medians . In any triangle , any side may be taken as the base ; hence the altitudes of a triangle ...
Σελίδα 46
... altitude of which falls on the base produced . What kind of a triangle is this ? Ex . 2. Draw a triangle the altitude of which coincides with one side . What kind of a triangle is this ? Ex . 3. By exact use of the ruler and com- passes ...
... altitude of which falls on the base produced . What kind of a triangle is this ? Ex . 2. Draw a triangle the altitude of which coincides with one side . What kind of a triangle is this ? Ex . 3. By exact use of the ruler and com- passes ...
Σελίδα 67
... altitude of a parallelogram is the perpendicular dis- tance between the bases , as EF . 153. The bases of a trapezoid are its two parallel sides . The legs of a trapezoid are the sides which are not parallel . The altitude of a ...
... altitude of a parallelogram is the perpendicular dis- tance between the bases , as EF . 153. The bases of a trapezoid are its two parallel sides . The legs of a trapezoid are the sides which are not parallel . The altitude of a ...
Σελίδα 94
... altitude upon one of the legs . In some cases it is useful to draw two or more auxiliary lines . Ex . 9. Show that the median of a trapezoid equals one - half the sum of the two bases by drawing a line through the midpoint of one leg of ...
... altitude upon one of the legs . In some cases it is useful to draw two or more auxiliary lines . Ex . 9. Show that the median of a trapezoid equals one - half the sum of the two bases by drawing a line through the midpoint of one leg of ...
Σελίδα 100
... altitudes drawn to the legs of an isosceles triangle intersect , a line is drawn to the vertex . Prove that this ... altitude of the other . Ex . 26. If two medians of a triangle are equal , the triangle is isosceles . [ SUG . On Fig ...
... altitudes drawn to the legs of an isosceles triangle intersect , a line is drawn to the vertex . Prove that this ... altitude of the other . Ex . 26. If two medians of a triangle are equal , the triangle is isosceles . [ SUG . On Fig ...
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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.