Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
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Σελίδα v
... formulas , which , it is thought , are more easily remembered , and more readily reduced to numbers than rules - though in several cases , where a rule seemed to possess any advantage , it is stated , as well as the formula on which it ...
... formulas , which , it is thought , are more easily remembered , and more readily reduced to numbers than rules - though in several cases , where a rule seemed to possess any advantage , it is stated , as well as the formula on which it ...
Σελίδα viii
... Formulas 323 SPHERICAL TRIGONOMETRY 401 Formula for Logarithmic Calculation Theorems 325 Sines of the Angles of a Spherical 326 , 329 Triangle 402 On Trigonometrical Series and Tables Fundamental Formulas 403 330-530 To prove the Formulas ...
... Formulas 323 SPHERICAL TRIGONOMETRY 401 Formula for Logarithmic Calculation Theorems 325 Sines of the Angles of a Spherical 326 , 329 Triangle 402 On Trigonometrical Series and Tables Fundamental Formulas 403 330-530 To prove the Formulas ...
Σελίδα 213
... formula for the solution ; namely , Proposed quadratic . ax2 + bxc . Derived simple equation . 2ax + b = √ ( 4ac + b2 ) . You may either commit the rule to memory , or keep the formula before your mind's eye ; remembering that , as a ...
... formula for the solution ; namely , Proposed quadratic . ax2 + bxc . Derived simple equation . 2ax + b = √ ( 4ac + b2 ) . You may either commit the rule to memory , or keep the formula before your mind's eye ; remembering that , as a ...
Σελίδα 221
... formula l = a + ( n − 1 ) d is 37 - 5+ 8d .. d = 37-5 8 = 4 . Therefore , the series is 5 , 9 , 13 , 17 , 21 , 25 , 29 , 33 , 37 . 2. Required 1 + 3 + 5 + 7 + 9 + & c . , to twenty terms . S = fn { 2a + ( n - 1 ) d } = 10 { 2 +19 × 2 ...
... formula l = a + ( n − 1 ) d is 37 - 5+ 8d .. d = 37-5 8 = 4 . Therefore , the series is 5 , 9 , 13 , 17 , 21 , 25 , 29 , 33 , 37 . 2. Required 1 + 3 + 5 + 7 + 9 + & c . , to twenty terms . S = fn { 2a + ( n - 1 ) d } = 10 { 2 +19 × 2 ...
Σελίδα 222
... formula enables us readily to find any remote term ( the nth term ) when the first term and the common ratio are given . By glancing at the above general form for a geometrical series , you will at once see that the product of any two ...
... formula enables us readily to find any remote term ( the nth term ) when the first term and the common ratio are given . By glancing at the above general form for a geometrical series , you will at once see that the product of any two ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Algebra arithmetic base Binomial Theorem bisect calculation called centre chord circumference coefficient common Completing the square contained cotan decimals denominator describe diameter divided dividend divisor draw ellipse equal angles equation equiangular equilateral Euclid EXAMPLES FOR EXERCISE expression exterior angle factors figure formula fraction frustum geometrical progression geometry given straight line greater h₂ Hence inscribed intersecting join latter less logarithm magnitudes manner measure multiplied operation parallel parallelogram perpendicular plane polygon prism Prop proportion proved Q. E. D. PROPOSITION quantity quotient radius ratio rectangle remainder result right angles rule sides sines solid angle sphere square root subtract suppose theorem third triangle ABC trigonometrical
Δημοφιλή αποσπάσματα
Σελίδα 86 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 60 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 58 - ... equal angles in each ; then shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other.
Σελίδα 45 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 190 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 151 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 96 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Σελίδα 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 66 - From this it is manifest how to a given straight line to apply a parallelogram, which shall have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure, viz.