An Elementary Geometry and Trigonometry |
From inside the book
Results 1-5 of 20
Page 5
... adjacent angles equal to two right angles , these two lines form a straight line . Let the straight line D B meet the two lines , AB , BC , so as to make ABD + DBC = two right angles : then AB and BC form a straight line . A- D E B For ...
... adjacent angles equal to two right angles , these two lines form a straight line . Let the straight line D B meet the two lines , AB , BC , so as to make ABD + DBC = two right angles : then AB and BC form a straight line . A- D E B For ...
Page 7
... adjacent , are called alternate internal angles ; as A G H and G HD , or BG H and GH C. Two angles , one external , one internal , on the same side of the secant , and not adjacent , are called opposite external and in- ternal angles ...
... adjacent , are called alternate internal angles ; as A G H and G HD , or BG H and GH C. Two angles , one external , one internal , on the same side of the secant , and not adjacent , are called opposite external and in- ternal angles ...
Page 17
... 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.
... 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.
Page 24
... adjacent angles of a parallelogram are perpendicular to each other . 92. From the vertices of a parallelogram measure equal distances upon the sides in order . The lines joining these points on the sides form a parallelogram . 93. Prove ...
... adjacent angles of a parallelogram are perpendicular to each other . 92. From the vertices of a parallelogram measure equal distances upon the sides in order . The lines joining these points on the sides form a parallelogram . 93. Prove ...
Page 38
... adjacent to that side cut off by the perpendicular drawn from the vertex of the right angle to the hypothenuse . 26. Cor . 2. As ABD and B C D are similar triangles Ꭺ Ꭰ : Ꭰ Ᏼ --- Ꭰ Ᏼ : Ꭰ Ꮯ Ꮮ that is , in a right triangle the ...
... adjacent to that side cut off by the perpendicular drawn from the vertex of the right angle to the hypothenuse . 26. Cor . 2. As ABD and B C D are similar triangles Ꭺ Ꭰ : Ꭰ Ᏼ --- Ꭰ Ᏼ : Ꭰ Ꮯ Ꮮ that is , in a right triangle the ...
Other editions - View all
Common terms and phrases
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
Popular passages
Page 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...
Page 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.
Page 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 12 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 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.
Page 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.
Page 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
Page 71 - The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude.
Page 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?
Page 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.