Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 16
... is one that has one right angle . The side opposite the right angle , is called the hypothe nuse . 2d . An OBLIQUE - ANGLED TRIANGLE is one whose angles are all oblique . If one angle of an oblique - angled triangle is 16 GEOMETRY .
... is one that has one right angle . The side opposite the right angle , is called the hypothe nuse . 2d . An OBLIQUE - ANGLED TRIANGLE is one whose angles are all oblique . If one angle of an oblique - angled triangle is 16 GEOMETRY .
Page 17
... opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all right angles . A SQUARE is an equilateral rectangle . 2. A RHOMBOID ...
... opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all right angles . A SQUARE is an equilateral rectangle . 2. A RHOMBOID ...
Page 21
... OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB , or ACD and ECB , are opposite angles . From the pro- position just demonstrated , the sum of any two adjacent angles is equal to ...
... OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB , or ACD and ECB , are opposite angles . From the pro- position just demonstrated , the sum of any two adjacent angles is equal to ...
Page 22
... opposite angle will also be a right angle . A- C is a right angle , For , ( P. I. , C. 1 ) , D E -B Cor . 2. If one line DE , is perpendicular to another AB , then will the second line AB be perpendicular to the first DE . and DCB are ...
... opposite angle will also be a right angle . A- C is a right angle , For , ( P. I. , C. 1 ) , D E -B Cor . 2. If one line DE , is perpendicular to another AB , then will the second line AB be perpendicular to the first DE . and DCB are ...
Page 30
... opposite the equal angles ; and conversely . PROPOSITION XI . THEOREM . In an isosceles triangle the angles opposite the equal sides are equal . Let BAC be an isosceles triangle , having the side AB equal to the side AC : then will the ...
... opposite the equal angles ; and conversely . PROPOSITION XI . THEOREM . In an isosceles triangle the angles opposite the equal sides are equal . Let BAC be an isosceles triangle , having the side AB equal to the side AC : then will the ...
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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