Elements of Geometry and Trigonometry |
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Page 14
... perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the adjacent angles unequal . B D Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ...
... perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the adjacent angles unequal . B D Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ...
Page 19
... perpendicular may be drawn to a given line , either from a point without , or from a point on the line . 7. A line may be drawn , making with a given line an angle equal to a given angle . 8. A line may be drawn through a given point ...
... perpendicular may be drawn to a given line , either from a point without , or from a point on the line . 7. A line may be drawn , making with a given line an angle equal to a given angle . 8. A line may be drawn through a given point ...
Page 22
... perpendicular to another AB , then will the second line AB be perpendicular to the first DE For , the angles DCA and DCB are right angles , by definition ( D. 12 ) ; and from what has just been proved , the angles ACE and BCE are also ...
... perpendicular to another AB , then will the second line AB be perpendicular to the first DE For , the angles DCA and DCB are right angles , by definition ( D. 12 ) ; and from what has just been proved , the angles ACE and BCE are also ...
Page 23
... perpendicular to each other , the sum of the angles which they form will be equal to four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right ...
... perpendicular to each other , the sum of the angles which they form will be equal to four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right ...
Page 33
... perpendicular can be drawn to a given straight line . Let A be a given point , and AB · a perpendicular to DE : then can no other perpendicular to DE be drawn through A. A D- B E F For , suppose a second perpendicular AC to be drawn ...
... perpendicular can be drawn to a given straight line . Let A be a given point , and AB · a perpendicular to DE : then can no other perpendicular to DE be drawn through A. A D- B E F For , suppose a second perpendicular AC to be drawn ...
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
ABē ABCD ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...