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 sider |
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Side 15
... equal ; an equiangular polygon , is one which has all its angles equal . 21. Two polygons are equilateral , or mutually equilateral when they have their sides equal each to each , and placed in the same order : that is to say , when ...
... equal ; an equiangular polygon , is one which has all its angles equal . 21. Two polygons are equilateral , or mutually equilateral when they have their sides equal each to each , and placed in the same order : that is to say , when ...
Side 19
... equal to the same thing , are equal . to one another . 2. If equals be added to equals , the wholes will be equal . 3. If equals be taken from equals , the remainders will be equal . 4. If equals be added to unequals , the wholes will ...
... equal to the same thing , are equal . to one another . 2. If equals be added to equals , the wholes will be equal . 3. If equals be taken from equals , the remainders will be equal . 4. If equals be added to unequals , the wholes will ...
Side 21
... equal to two right angles . Let the straight line DC meet the straight line AB at C ; then will the angle ACD plus the angle DCB , be equal to two right angles . = At the point C suppose CE to be drawn perpendicular to AB : then , ACE ...
... equal to two right angles . Let the straight line DC meet the straight line AB at C ; then will the angle ACD plus the angle DCB , be equal to two right angles . = At the point C suppose CE to be drawn perpendicular to AB : then , ACE ...
Side 23
... equal to two right angles ( P. 1 ) . But by hypothesis , the sum of the angles ACD , DCB , is also equal to two right angles : therefore ( A. 1 ) , D A- -B E ACD + DCE must be equal to ACD + DCB . Taking away the angle ACD from each ...
... equal to two right angles ( P. 1 ) . But by hypothesis , the sum of the angles ACD , DCB , is also equal to two right angles : therefore ( A. 1 ) , D A- -B E ACD + DCE must be equal to ACD + DCB . Taking away the angle ACD from each ...
Side 24
... equal to two right angles therefore , the sum of the four , is equal to four right angles . In general , if any number of straight lines CA , CB , CD , & c . , meet in a com- mon point C , the sum of all the suc- cessive angles , ACB ...
... equal to two right angles therefore , the sum of the four , is equal to four right angles . In general , if any number of straight lines CA , CB , CD , & c . , meet in a com- mon point C , the sum of all the suc- cessive angles , ACB ...
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1874 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre Uten tilgangsbegrensning - 1864 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1872 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 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.
Side 26 - The sum of any two sides of a triangle is greater than the third side.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 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.
Side 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.