Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 7
... Triangles , 80-83 Quadrantal Triangles , 84 Formulas for Oblique - angled Triangles ,. Solution of Oblique - angled Triangles , 85-92 92-104 MENSURATION . Mensuration Defined , The Area of a Parallelogram ,. The Area of a Triangle ...
... Triangles , 80-83 Quadrantal Triangles , 84 Formulas for Oblique - angled Triangles ,. Solution of Oblique - angled Triangles , 85-92 92-104 MENSURATION . Mensuration Defined , The Area of a Parallelogram ,. The Area of a Triangle ...
Page 16
... TRIANGLE is one which has no two of its sides equal . 2d . An ISOSCELES TRIANGLE is one which has two of its sides equal . When all of the sides are equal , the triangle is EQUILATERAL . When classified with reference to their angles ...
... TRIANGLE is one which has no two of its sides equal . 2d . An ISOSCELES TRIANGLE is one which has two of its sides equal . When all of the sides are equal , the triangle is EQUILATERAL . When classified with reference to their angles ...
Page 17
... triangle is obtuse , the triangle is said to be OBTUSE - ANGLED .. If all of the angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to the rel- ative directions of their sides ...
... triangle is obtuse , the triangle is said to be OBTUSE - ANGLED .. If all of the angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to the rel- ative directions of their sides ...
Page 25
... triangles , therefore , coincide throughout , and are consequently equal in all their parts ( I. , D. 14 ) ; which was to be proved . PROPOSITION VI . THEOREM . If two triangles have two angles and the included side of the one equal to ...
... triangles , therefore , coincide throughout , and are consequently equal in all their parts ( I. , D. 14 ) ; which was to be proved . PROPOSITION VI . THEOREM . If two triangles have two angles and the included side of the one equal to ...
Page 26
... triangles coincide throughout , and are therefore equal in all their parts ( I. , D. 14 ) ; which was to be proved . · PROPOSITION VII . THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle ...
... triangles coincide throughout , and are therefore equal in all their parts ( I. , D. 14 ) ; which was to be proved . · PROPOSITION VII . THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle ...
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Common terms and phrases
ABē 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