Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 14
... intersect . A 23. Naming angles . ( 1 ) The most precise way of naming an angle is to use three let- ters , one for a point on each side of the angle with the letter at the vertex between these two , as the angle ABC . B Since the size ...
... intersect . A 23. Naming angles . ( 1 ) The most precise way of naming an angle is to use three let- ters , one for a point on each side of the angle with the letter at the vertex between these two , as the angle ABC . B Since the size ...
Σελίδα 19
... intersect ) at a point in a plane , how many angles have this point as their common vertex ? Draw a figure illustrating this and name the angles . Ex . 16. How many angles are formed if four lines meet ( but do not intersect ) at a ...
... intersect ) at a point in a plane , how many angles have this point as their common vertex ? Draw a figure illustrating this and name the angles . Ex . 16. How many angles are formed if four lines meet ( but do not intersect ) at a ...
Σελίδα 26
... 47 , Geom . Ax . 1 ) . Hence , two straight lines can intersect in but one point . 65. If two straight lines coincide in part , they coincide throughout , 66. Only one straight line can be drawn connecting two 26 PLANE GEOMETRY.
... 47 , Geom . Ax . 1 ) . Hence , two straight lines can intersect in but one point . 65. If two straight lines coincide in part , they coincide throughout , 66. Only one straight line can be drawn connecting two 26 PLANE GEOMETRY.
Σελίδα 29
... intersects another straight line , the opposite or vertical angles are equal . A D B Given the straight lines AB and CD intersecting at the point 0 . To prove AOC = Z DOB and AOD = ≤ COB . Proof . 2AOC + 2A0D - 2 rt . 6 , Art . 73 ...
... intersects another straight line , the opposite or vertical angles are equal . A D B Given the straight lines AB and CD intersecting at the point 0 . To prove AOC = Z DOB and AOD = ≤ COB . Proof . 2AOC + 2A0D - 2 rt . 6 , Art . 73 ...
Σελίδα 30
... II . Ex . 2. If three straight lines intersect at a point , how many of the angles formed is it necessary to measure , in order to determine all the angles ? PROPOSITION III . THEOREM 80. From a given point without 30 BOOK I. PLANE ...
... II . Ex . 2. If three straight lines intersect at a point , how many of the angles formed is it necessary to measure , in order to determine all the angles ? PROPOSITION III . THEOREM 80. From a given point without 30 BOOK I. PLANE ...
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.