A Course of Mathematics: For the Use of Academies as Well as Private TuitionCampbell, 1812 |
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Σελίδα 305
... centre c to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB . E B For ... centre of the circle . THEOREM XLII . IF More than Two Equal Lines can be drawn from any Point within a Circle to the ...
... centre c to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB . E B For ... centre of the circle . THEOREM XLII . IF More than Two Equal Lines can be drawn from any Point within a Circle to the ...
Σελίδα 306
... centre . For , draw the chords AB , BC , which let be bisected in the points E , F , and join DE , DF . A PA B D ... centre of the circle ( corol . th . 41 ) . In like manner , it may be shown that DF passes through the centre ...
... centre . For , draw the chords AB , BC , which let be bisected in the points E , F , and join DE , DF . A PA B D ... centre of the circle ( corol . th . 41 ) . In like manner , it may be shown that DF passes through the centre ...
Σελίδα 307
... centres of the two circles be all in the same right line . A For , let F be the centre of the circle ABC , through which draw the diameter AFC , and produce it to the other circle at E. Then , if the centre of the other circle ADE can ...
... centres of the two circles be all in the same right line . A For , let F be the centre of the circle ABC , through which draw the diameter AFC , and produce it to the other circle at E. Then , if the centre of the other circle ADE can ...
Σελίδα 308
... centre , GE , GF , also be equal to each other . For , since AB is equal CD by supposition , the half AE is equal the half CF. Also the radii GA , GC , being equal , as well as the right angles E and F , therefore the third sides are ...
... centre , GE , GF , also be equal to each other . For , since AB is equal CD by supposition , the half AE is equal the half CF. Also the radii GA , GC , being equal , as well as the right angles E and F , therefore the third sides are ...
Σελίδα 309
... centre c to the line AB , must pass out of the circle to arrive at this line . The line CD is therefore the shortest that can be drawn from the point c to the line AB , and consequent- ly ( th . 21 ) it is perpendicular to that line ...
... centre c to the line AB , must pass out of the circle to arrive at this line . The line CD is therefore the shortest that can be drawn from the point c to the line AB , and consequent- ly ( th . 21 ) it is perpendicular to that line ...
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Άλλες εκδόσεις - Προβολή όλων
A Course of Mathematics ...: For the Use of Academies, As Well As Private ... Charles Hutton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD algebraic annum answer arithmetical mean arithmetical progression arithmetical series cent ciphers circle common denominator common difference compound contained Corol cube root cubic equation decimal denotes Divide dividend division divisor equal equation errors EXAMPLES extremes figures find the value geometric series geometrical geometrical progression given number gives greater greatest common measure Hence inches infinite series integer interest last term less letters logarithm manner means mult Multiply natural number number of combinations number of terms number of things parallel parallelogram perpendicular places plane pound PROBLEM quantity QUEST quotient ratio rectangle Reduce remainder resolvend right angles right-hand shillings shot side simple square root subtract surd THEOREM third three numbers tion transposing VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 277 - 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 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 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 302 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Σελίδα 287 - In any triangle, the difference of the squares of the two sides w equal to the difference of the squares of the segments of the base, or of the two lines or distances included between the extremes of the base and the perpendicular.
Σελίδα 172 - When the index of the logarithm to be divided is negative, and does not exactly contain the divisor without some remainder, increase the index by such a number as will make it exactly divisible by the index, carrying the units borrowed, as so many tens, to the left-hand place of the decimal, and, then divide as in whole numbers. EXAMPLES. 1.
Σελίδα 294 - The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment.
Σελίδα 349 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Σελίδα 430 - BRICKLAYERS- WORK. — Brickwork is estimated at the rate of a brick and a half thick. So that, if a wall be more or less than this standard thickness, it must be reduced to it, as follows : — Multiply the superficial content of the wall by the number of half bricks in the thickness, and divide the product by 3. The...
Σελίδα 301 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.