Elements of Arithmetic, Algebra, and GeometryAdam Black and William Tait, 1826 |
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Resultat 1-5 av 31
Side 14
... result agree with the first , the presump- tion is , that the work is correct ; but still the proof is not ab- solutely certain , because an error in the first result , may have been concealed by an error in a subsequent one ...
... result agree with the first , the presump- tion is , that the work is correct ; but still the proof is not ab- solutely certain , because an error in the first result , may have been concealed by an error in a subsequent one ...
Side 15
... result will be two units of the fourth order , five of the third , four of the second , and three of the first . This is so plain , as to require no explanation . 7864 5321 2543 83 9345 6518 Ex . 2. Required the difference of 9345 and ...
... result will be two units of the fourth order , five of the third , four of the second , and three of the first . This is so plain , as to require no explanation . 7864 5321 2543 83 9345 6518 Ex . 2. Required the difference of 9345 and ...
Side 17
... result agree with the first , the presump- tion is , that the work is correct ; but still the proof is not ab- solutely certain , because an error in the first result , may have been concealed by an error in a subsequent one ...
... result agree with the first , the presump- tion is , that the work is correct ; but still the proof is not ab- solutely certain , because an error in the first result , may have been concealed by an error in a subsequent one ...
Side 17
... result will be two units of the fourth order , five of the third , four of the second , and three of the first . This is so plain , as to require no explanation . 2543 8 3 9345 6518 Ex . 2. Required the difference of 9345 and 6518. Here ...
... result will be two units of the fourth order , five of the third , four of the second , and three of the first . This is so plain , as to require no explanation . 2543 8 3 9345 6518 Ex . 2. Required the difference of 9345 and 6518. Here ...
Side 23
... result . Let it be required , to find , for example , how often 35 is contained in 25760 . 35 ) 25760 ( 7 hundreds 245 126 ( 3 tens 105 210 ( 6 units 210 From a comparison of the divisor with the highest order of units in the dividend ...
... result . Let it be required , to find , for example , how often 35 is contained in 25760 . 35 ) 25760 ( 7 hundreds 245 126 ( 3 tens 105 210 ( 6 units 210 From a comparison of the divisor with the highest order of units in the dividend ...
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Vanlige uttrykk og setninger
algebraic quantities angle ABC angle ACB angle BAC angle CAB angle EBA annex Arithmetic binomial Binomial Theorem bisected Book centre ciphers circumference coefficient consequently continued fraction cube root denominator diameter difference divided dividend divisor drawn equation example expressed exterior angle figure find the values fore fourth given circle given number greater greatest common measure guinea Hence improper fraction join least common multiple less manner merator minuend multiplied number of terms opposite angles parallel parallelogram perpendicular preceding prefixed PROP Q. E. D. Cor quotient ratio Reduce remaining angle Required the sum right angles rule Scholium sides square root straight line subtracted subtrahend surd tangent THEOREM third Transp triangle ABC units unity unknown quantity vulgar fraction Wherefore whole angle whole number
Populære avsnitt
Side 174 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Side 132 - 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.
Side 172 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...
Side 171 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 129 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides of that which has the greater base, shall be greater than the angle contained by the sides equal to them of the other.
Side 171 - C to the remaining angle at F. For, if the angles ABC, DEF be not equal, one of them is greater than the other : Let ABC be the greater, and at the point B, in the straight line AB, make the angle ABG equal to the angle (23.
Side 164 - If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square on GEOMETRY.
Side 142 - EK, because EH is less than EK ; therefore the square of BH is greater than the square of FK, and the straight line BH greater than FK, and therefore BC is greater than FG.
Side 109 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Side 148 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent angles are equal, they ate right angles.