Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 páginas |
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Página vi
... Angle with a Protractor ,. 270 Parts of a Plane Triangle , - 271 Plane Trigonometry , Defined ,. 271 Division of the Circumference , - 271 Measures of Angles ... Right - Angled Triangles , - Application to Heights and Distances , .. 277 281 ...
... Angle with a Protractor ,. 270 Parts of a Plane Triangle , - 271 Plane Trigonometry , Defined ,. 271 Division of the Circumference , - 271 Measures of Angles ... Right - Angled Triangles , - Application to Heights and Distances , .. 277 281 ...
Página 14
... angles equal to each other , each angle is called a right angle ; and the first line is said to be perpendicu lar to the second . 14. An ACUTE ANGLE is an angle ess than a right angle . 15. An OBTUSE ANGLE is an angle greater than a ...
... angles equal to each other , each angle is called a right angle ; and the first line is said to be perpendicu lar to the second . 14. An ACUTE ANGLE is an angle ess than a right angle . 15. An OBTUSE ANGLE is an angle greater than a ...
Página 16
... angles acute . 5. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse , and the other two sides , the base and perpen- dicular . 6. An obtuse - angled triangle is one ...
... angles acute . 5. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse , and the other two sides , the base and perpen- dicular . 6. An obtuse - angled triangle is one ...
Página 17
... right angle . 2. The rhombus , or lozenge , which is an equilateral rhomboid . 3. The rectangle , which is an equian ... angles not adjacent . 27. A base of a plane figure is one of its sides on which it may be supposed to stand ...
... right angle . 2. The rhombus , or lozenge , which is an equilateral rhomboid . 3. The rectangle , which is an equian ... angles not adjacent . 27. A base of a plane figure is one of its sides on which it may be supposed to stand ...
Página 19
... angle A. 3 8. The square of the line AB is designated by AB ; its cube by AB . What is meant by the square and cube of a line , will be explained in its proper place . 9. The sign ... right angles are equal to each other . BOOK I. 19.
... angle A. 3 8. The square of the line AB is designated by AB ; its cube by AB . What is meant by the square and cube of a line , will be explained in its proper place . 9. The sign ... right angles are equal to each other . BOOK I. 19.
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Términos y frases comunes
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Pasajes populares
Página 27 - If two triangles have two sides of the one equal to two sides of the...
Página 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Página 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Página 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Página 26 - The sum of any two sides of a triangle is greater than the third side.
Página 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Página 93 - The area of a parallelogram is equal to the product of its base and altitude.
Página 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.