Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 9
... 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 four species of quantity , called ...
... 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 four species of quantity , called ...
Page 10
... called plus : Thus , A + B , indicates that B is to be added to A. The Sign of Subtraction , -9 called minus : Thus ,, A — B , indicates that B is to be subtracted from A. - The Sign of Multiplication , X : Thus , Ax B , indicates that ...
... called plus : Thus , A + B , indicates that B is to be added to A. The Sign of Subtraction , -9 called minus : Thus ,, A — B , indicates that B is to be subtracted from A. - The Sign of Multiplication , X : Thus , Ax B , indicates that ...
Page 11
... called an equation . part on the left of the sign of equality , is called the first member ; that on the right , the second member . The Sign of Inequality , < : Thus , AB , indicates that the square root of A is less than the cube root ...
... called an equation . part on the left of the sign of equality , is called the first member ; that on the right , the second member . The Sign of Inequality , < : Thus , AB , indicates that the square root of A is less than the cube root ...
Page 13
... line . 6. A line made up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK I.
... line . 6. A line made up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK I.
Page 14
... called sides , and their common point A , is called the ver- A- -B tex . An angle is designated by naming its sides , or some- times by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11 ...
... called sides , and their common point A , is called the ver- A- -B tex . An angle is designated by naming its sides , or some- times by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11 ...
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AB² 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