Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 11
... circumference of a circle . 25. Any portion of the circumference , as AED , is called an arc . 26. The diameter of a circle is a straight line passing through the centre and terminating at the circumference . Thus , ACB is a diameter ...
... circumference of a circle . 25. Any portion of the circumference , as AED , is called an arc . 26. The diameter of a circle is a straight line passing through the centre and terminating at the circumference . Thus , ACB is a diameter ...
Page 12
... circumference of a circle to be divided into 360 degrees , beginning at the point B. If through the point of division marked 40 , we draw CE , then , the angle ECB will be equal to 40 degrees . If CF were drawn through 180 ; and 90 80 ...
... circumference of a circle to be divided into 360 degrees , beginning at the point B. If through the point of division marked 40 , we draw CE , then , the angle ECB will be equal to 40 degrees . If CF were drawn through 180 ; and 90 80 ...
Page 17
... circumference into two equal parts . Let ADBE be the circumference of a circle , and ACB a diameter : then will the part ADB be equal to the part AEB . D B C E For , suppose the part AEB to be turn- ed around AB , until it shall fall on ...
... circumference into two equal parts . Let ADBE be the circumference of a circle , and ACB a diameter : then will the part ADB be equal to the part AEB . D B C E For , suppose the part AEB to be turn- ed around AB , until it shall fall on ...
Page 18
... right angles . For , the sum of all the arcs which measure them , is equal to the entire circumference , which is the measure of four right angles ( Th . i . Cor . 2 ) . Of Triangles . THEOREM III . If two straight lines 18 GEOMETRY ,
... right angles . For , the sum of all the arcs which measure them , is equal to the entire circumference , which is the measure of four right angles ( Th . i . Cor . 2 ) . Of Triangles . THEOREM III . If two straight lines 18 GEOMETRY ,
Page 38
... circumference of a circle is a curve line , all the points of which are equally distant from a certain point within ... circumference , is called a radius or semidiameter . Every line which , like AB , passes through the centre and ...
... circumference of a circle is a curve line , all the points of which are equally distant from a certain point within ... circumference , is called a radius or semidiameter . Every line which , like AB , passes through the centre and ...
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Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards