A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 - Mathematics |
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Page 268
... Radius of a circle is a line drawn from the centre to the circumference . 47. The Diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . 48. An Arc of a circle is any part of the ...
... Radius of a circle is a line drawn from the centre to the circumference . 47. The Diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . 48. An Arc of a circle is any part of the ...
Page 296
... radius FB . From each of these take away the common part FG , and the remainder GA will be greater than the remainder GB . But the point G being supposed the centre of the inner circle , its two radii , GA , GD , are equal to each other ...
... radius FB . From each of these take away the common part FG , and the remainder GA will be greater than the remainder GB . But the point G being supposed the centre of the inner circle , its two radii , GA , GD , are equal to each other ...
Page 298
... Radius , is a Tangent to the Circle . LET the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . For , from any other point E in the line AB draw CFE to the centre , cutting the ...
... Radius , is a Tangent to the Circle . LET the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . For , from any other point E in the line AB draw CFE to the centre , cutting the ...
Page 299
... radius EC to the point of contact , and the radius EF perpendicular to the chord at H. Then , the radius EF , being pèrpendicular to the chord CD , bisects the arc CFD ( th . 41 ) . Therefore CF is half the arc CFD . In the triangle CEH ...
... radius EC to the point of contact , and the radius EF perpendicular to the chord at H. Then , the radius EF , being pèrpendicular to the chord CD , bisects the arc CFD ( th . 41 ) . Therefore CF is half the arc CFD . In the triangle CEH ...
Page 306
... radius DH , and draw HI perpendi cular to CD . Then , since DEH is a triangle , and the perp . HI bisects the chord CD ( th . 41 ) , the line CE is equal to the difference of the segments DI , EI , the sum of them being DE . Also ...
... radius DH , and draw HI perpendi cular to CD . Then , since DEH is a triangle , and the perp . HI bisects the chord CD ( th . 41 ) , the line CE is equal to the difference of the segments DI , EI , the sum of them being DE . Also ...
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Common terms and phrases
AB² ABCD AC² angles equal arithmetical mean arithmetical progression arithmetical series BC² bisected centre chord ciphers circle circumference compound compound interest consequently contained cube root cubic equation decimal denotes diameter divide dividend division divisor draw equal angles equal th equation equiangular equilateral EXAMPLES figure fraction gallon geometrical geometrical progression given number gives greater half the arc Hence improper fraction infinite series Inscribed integer less Let ABC logarithm manner measured by half mult Multiply number of terms opposite angles outward angle parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. THEOREM QUEST quotient radii radius ratio rectangle Reduce remainder right angles Right-angled Triangle rule side AC square root subtract surd tangent third transposing triangle ABC VULGAR FRACTIONS whole number yards
Popular passages
Page 280 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 2 - The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
Page 4 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 32 - Place the numbers so that those of the same denomination may stand directly under each other.
Page 11 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Page 297 - Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle.
Page 264 - A Right angle is that which is made by one line perpendicular to another. Or when the angles on each side are equal to one another, they are right angles.
Page 325 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Page 275 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Page 184 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.