A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 |
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Σελίδα iv
... manner of demonstration , throughout the whole work , especially in the geometry , which is ren- dered much more easy and simple than heretofore ; and in the conic - sections , which are here treated in a manner at once new , easy , and ...
... manner of demonstration , throughout the whole work , especially in the geometry , which is ren- dered much more easy and simple than heretofore ; and in the conic - sections , which are here treated in a manner at once new , easy , and ...
Σελίδα v
... the business , as to the quantity and order and manner , must depend on the judgment of the discreet and prudenț tutor or director . CONTENTS OF VOLUME I. GENERAL Preliminary Principles ARITHMETIC . Notation PREFACE .
... the business , as to the quantity and order and manner , must depend on the judgment of the discreet and prudenț tutor or director . CONTENTS OF VOLUME I. GENERAL Preliminary Principles ARITHMETIC . Notation PREFACE .
Σελίδα 7
... manner : 1 = I 2 = II 3 = III 4 = IIII or IV 5 = V 6 VI 7 = VII As often as any character is re- peated , so many times is its value repeated . A less character before a greater diminishes its value . A less character after a greater ...
... manner : 1 = I 2 = II 3 = III 4 = IIII or IV 5 = V 6 VI 7 = VII As often as any character is re- peated , so many times is its value repeated . A less character before a greater diminishes its value . A less character after a greater ...
Σελίδα 9
... manner as the first . And thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . - Begin at the top , and add together all the rows of numbers downwards ; in the same ...
... manner as the first . And thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . - Begin at the top , and add together all the rows of numbers downwards ; in the same ...
Σελίδα 10
... manner . Demonstration . Let there be any number proposed , as 4658 . This , separated into its several parts , becomes 4000 + 600 + 50 +8 . But 4000 = 4 × 1000 = 4 × ( 999 + 1 ) = 4 × 999 ÷ 4 . In like manner 600 = 6 × 99 +6 ; and 50 ...
... manner . Demonstration . Let there be any number proposed , as 4658 . This , separated into its several parts , becomes 4000 + 600 + 50 +8 . But 4000 = 4 × 1000 = 4 × ( 999 + 1 ) = 4 × 999 ÷ 4 . In like manner 600 = 6 × 99 +6 ; and 50 ...
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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.