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 σελίδες |
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Σελίδα 14
... middle . 13. When a straight line meets an- other straight line , so as to make the adjacent 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 ...
... middle . 13. When a straight line meets an- other straight line , so as to make the adjacent 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 ...
Σελίδα 30
... middle point of the base , divides the angle at the vertex into two equal parts , and is perpendicular to the base . Scholium . In a triangle which is not isosceles , any side may be assumed indifferently as the base ; and the vertex is ...
... middle point of the base , divides the angle at the vertex into two equal parts , and is perpendicular to the base . Scholium . In a triangle which is not isosceles , any side may be assumed indifferently as the base ; and the vertex is ...
Σελίδα 33
... middle point of a given straight line , a perpendicular to this line be drawn : 1st . Any point of the perpendicular will be equally distant from the extremities of the line : 2d . Any point , without the perpendicular , will be ...
... middle point of a given straight line , a perpendicular to this line be drawn : 1st . Any point of the perpendicular will be equally distant from the extremities of the line : 2d . Any point , without the perpendicular , will be ...
Σελίδα 34
... middle point C. PROPOSITION XVII . THEOREM . If two right - angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of the other , each to each , the triangles are equal . Let BAC and EDF be two ...
... middle point C. PROPOSITION XVII . THEOREM . If two right - angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of the other , each to each , the triangles are equal . Let BAC and EDF be two ...
Σελίδα 35
... middle point of BA , draw the straight line EGF , perpendicular to KC : then , it will also be perpendicular to HD . For , the sum BAC + ABD is E B H- -D G K- C AF equal to two right angles , by hypothesis ; the sum ABD + ABE is ...
... middle point of BA , draw the straight line EGF , perpendicular to KC : then , it will also be perpendicular to HD . For , the sum BAC + ABD is E B H- -D G K- C AF equal to two right angles , by hypothesis ; the sum ABD + ABE is ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 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.
Σελίδα 26 - The sum of any two sides of a triangle is greater than the third side.
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 93 - The area of a parallelogram is equal to the product of its base and altitude.
Σελίδα 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 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.
Σελίδα 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.