A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 |
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Σελίδα 268
... Chord is a right line joining the extremities of an arc . 50. A Segment is any part of a circle bounded by an arc and its chord . 51. A Semicircle is half the circle , or a segment cut off by a diameter . The half circumference is ...
... Chord is a right line joining the extremities of an arc . 50. A Segment is any part of a circle bounded by an arc and its chord . 51. A Semicircle is half the circle , or a segment cut off by a diameter . The half circumference is ...
Σελίδα 269
... chords , are said to be Equi- distant from the centre of a circle , when per- pendiculars drawn to them from the centre are equal . 60. And theright line on whichthe Greater Perpendicular falls , is said to be farther from the centre ...
... chords , are said to be Equi- distant from the centre of a circle , when per- pendiculars drawn to them from the centre are equal . 60. And theright line on whichthe Greater Perpendicular falls , is said to be farther from the centre ...
Σελίδα 295
... Chord , it will Bisect both the Chord and the Arc of the Chord . Let AB be any chord in a circle , and cD a line drawn from the centre c to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB ...
... Chord , it will Bisect both the Chord and the Arc of the Chord . Let AB be any chord in a circle , and cD a line drawn from the centre c to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB ...
Σελίδα 296
... chords AB , BC , which let be bisected in the points E , F , and join DE , DF . Then , the two triangles , DAE , DBE ... chord AB ( def . 11 ) , and therefore passes through the centre of the circle ( corol . th . 41 ) . In like manner ...
... chords AB , BC , which let be bisected in the points E , F , and join DE , DF . Then , the two triangles , DAE , DBE ... chord AB ( def . 11 ) , and therefore passes through the centre of the circle ( corol . th . 41 ) . In like manner ...
Σελίδα 297
... Chords in a Circle , which are Equally Distant from the Centre , are Equal to each other ; or if they be Equal to each other , they will be Equally Distant from the Centre . LET AB , CD , be any two chords at equal distances from the ...
... Chords in a Circle , which are Equally Distant from the Centre , are Equal to each other ; or if they be Equal to each other , they will be Equally Distant from the Centre . LET AB , CD , be any two chords at equal distances from the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 32 - Place the numbers so that those of the same denomination may stand directly under each other.
Σελίδα 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.
Σελίδα 297 - Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle.
Σελίδα 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.
Σελίδα 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.
Σελίδα 275 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Σελίδα 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.