Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 9
... taken as a standard . assumed standard is called the unit of measure . 2. Since the unit of measure is of the same kind as the thing measured , there are as many kinds of units as there are species of quantity . In Geometry , there are ...
... taken as a standard . assumed standard is called the unit of measure . 2. Since the unit of measure is of the same kind as the thing measured , there are as many kinds of units as there are species of quantity . In Geometry , there are ...
Page 10
... taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a vinculum ... taken . Thus , 3 ( A + B ) , indicates that the sum of A and B is to be taken three times . The Sign of Equality ...
... taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a vinculum ... taken . Thus , 3 ( A + B ) , indicates that the sum of A and B is to be taken three times . The Sign of Equality ...
Page 15
... equilateral , or mutually equilateral , when their sides , taken in the same order , are equal , each to each that is , following their perimeters in the : same 7 . direction , the first side of the one is equal BOOK I. 15.
... equilateral , or mutually equilateral , when their sides , taken in the same order , are equal , each to each that is , following their perimeters in the : same 7 . direction , the first side of the one is equal BOOK I. 15.
Page 16
... taken in the same order , are equal , each to each . 23. A DIAGONAL of a polygon is a line joining the ver tices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand ...
... taken in the same order , are equal , each to each . 23. A DIAGONAL of a polygon is a line joining the ver tices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand ...
Page 45
... taken as many times as the polygon has sides , less two . Let ABCDE be any polygon : tnen will the sum of its interior angles A , B , C , D , and E , be equal to two right angles taken as many times as the polygon has sides , less two ...
... taken as many times as the polygon has sides , less two . Let ABCDE be any polygon : tnen will the sum of its interior angles A , B , C , D , and E , be equal to two right angles taken as many times as the polygon has sides , less two ...
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Common terms and phrases
ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following