Elements of Geometry and Trigonometry |
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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 . 2d . A ...
... 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 . 2d . A ...
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 is a right angle , For , ( P. I. , C. 1 ) , D E B IC will the second line AB For , the angles DCA definition ( D. 12 ) ; and Cor . 2. If one line DE , is perpendicular to another AB , then ...
... opposite angle will also be a right angle . A is a right angle , For , ( P. I. , C. 1 ) , D E B IC will the second line AB For , the angles DCA definition ( D. 12 ) ; and Cor . 2. If one line DE , is perpendicular to another AB , then ...
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
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence