An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Σελίδα 3
... vertex ; and the lines A B , B C , B the sides of the angle . A C If there is but one angle , it can be designated by the letter at its vertex , as the angle B ; but when a number of angles have the same vertex , each angle is ...
... vertex ; and the lines A B , B C , B the sides of the angle . A C If there is but one angle , it can be designated by the letter at its vertex , as the angle B ; but when a number of angles have the same vertex , each angle is ...
Σελίδα 14
... vertex D will be on the side of AC , opposite to B. Join BD . Since by hy- pothesis A B = AD , ABD is an isosceles triangle ; and the angle ABD ADB ( 42 ) ; also , since BC CD , BCD is an isosceles triangle ; and the angle DBCCDB ...
... vertex D will be on the side of AC , opposite to B. Join BD . Since by hy- pothesis A B = AD , ABD is an isosceles triangle ; and the angle ABD ADB ( 42 ) ; also , since BC CD , BCD is an isosceles triangle ; and the angle DBCCDB ...
Σελίδα 17
... ; as QRS T. K M N P R S T U Ꮴ 60. A Rhombus is an equilateral rhomboid ; as U V W X. X W 61. A Diagonal is a line joining the vertices of two angles not adjacent ; as DB . THEOREM XVII . 62. The opposite sides and angles of BOOK I. 17.
... ; as QRS T. K M N P R S T U Ꮴ 60. A Rhombus is an equilateral rhomboid ; as U V W X. X W 61. A Diagonal is a line joining the vertices of two angles not adjacent ; as DB . THEOREM XVII . 62. The opposite sides and angles of BOOK I. 17.
Σελίδα 20
... vertex A , diagonals A C , AD , AE , are drawn , the polygon will be divided into as many triangles as it has sides minus two ; and the sum of the angles of each triangle is equal to two right angles ( 33 ) ; therefore the sum of the ...
... vertex A , diagonals A C , AD , AE , are drawn , the polygon will be divided into as many triangles as it has sides minus two ; and the sum of the angles of each triangle is equal to two right angles ( 33 ) ; therefore the sum of the ...
Σελίδα 21
... vertex , how many degrees in each ? 15. If the angle at the vertex of an isosceles triangle is double one of the angles at base , how many degrees in each ? 16. Two triangles mutually equilateral are equiangular ( 48 ) . Are two ...
... vertex , how many degrees in each ? 15. If the angle at the vertex of an isosceles triangle is double one of the angles at base , how many degrees in each ? 16. Two triangles mutually equilateral are equiangular ( 48 ) . Are two ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCDEF acute angle adjacent altitude angle BCD apothem arc or angle bisect centre chord circumference comp cone construct the triangle convex surface Corollary cosec decr diagonals diameter distance divided draw equiangular equilateral equivalent feet Find the Log frustum Geom given angle given line given point given side hypothenuse included angle incr inscribed internal angles isosceles triangle lines A B Logarithm M.
M. Sine multiplied number of sides opposite side parallelogram parallelopiped perimeter perpendicular PLANE GEOMETRY plane triangle PLANE TRIGONOMETRY prism PROBLEM quadrilateral radii radius ratio rectangle regular polygon right angle right pyramid right triangle right-angled triangle Scholium secant segment side opposite similar triangles slant height sphere square straight line Tang tangent THEOREM THEOREM VII trapezoid triangle ABC TRIGONOMETRY vertex
Δημοφιλή αποσπάσματα
Σελίδα 30 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 49 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Σελίδα 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 11 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 23 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.
Σελίδα 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
Σελίδα 71 - The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude.
Σελίδα 40 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Σελίδα 23 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.