Easy Introduction to Mathematics, Band 2Barlett & Newman, 1814 |
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Seite 17
... opposite the said step , in the margin . The symbols employed are + for addition , - for subtraction , x for multiplication , for division , for involution , for evolution , for completing the square , for equality , and tr . for ...
... opposite the said step , in the margin . The symbols employed are + for addition , - for subtraction , x for multiplication , for division , for involution , for evolution , for completing the square , for equality , and tr . for ...
Seite 18
... opposite to each step are placed , first the num- ber of the step from whence it is derived , and then the symbol denoting the operation by which it is obtained . And here it must be noted , that the numbers 1 , 2 , 3 , & c . in the ...
... opposite to each step are placed , first the num- ber of the step from whence it is derived , and then the symbol denoting the operation by which it is obtained . And here it must be noted , that the numbers 1 , 2 , 3 , & c . in the ...
Seite 29
... opposite direc- tions towards the same point with given velocities , the distance of the places from whence they set out , and the difference of the times in which they begin to move , being likewise given , thence to determine the ...
... opposite direc- tions towards the same point with given velocities , the distance of the places from whence they set out , and the difference of the times in which they begin to move , being likewise given , thence to determine the ...
Seite 30
... opposite side of the same Isthmus with the same intent , and passing the Straits of Gibraltar , sails at the rate of 34 miles an hour ; - near what place on the coast will they meet ? 42. If two bodies , A and B , move in the same ...
... opposite side of the same Isthmus with the same intent , and passing the Straits of Gibraltar , sails at the rate of 34 miles an hour ; - near what place on the coast will they meet ? 42. If two bodies , A and B , move in the same ...
Seite 107
... opposite remains in excess ; in like manner 1 , 4 , and 7 , are respectively the excesses of the second , third , and fourth , lines : now these four excesses being added together , and the nines cast out of the sum , the excess will be ...
... opposite remains in excess ; in like manner 1 , 4 , and 7 , are respectively the excesses of the second , third , and fourth , lines : now these four excesses being added together , and the nines cast out of the sum , the excess will be ...
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Häufige Begriffe und Wortgruppen
Algebra arithmetical progression axis base bisected called centre chord circle circumference CN² co-sec co-sine co-tan completing the square Conic Sections cube curve diameter distance divided draw EC² equal Euclid Euclid's Elements EXAMPLES.-1 find the numbers former fourth fraction geometrical geometrical progression given equation given ratio greater harmonical mean Hence infinite series inversely last term latter latus rectum less likewise logarithms magnitude method multiplied number of terms odd number parallel parallelogram perpendicular PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectangle remainder right angles rule secant shew shewn sides sine solidity straight line substituted subtract tangent theor theorems third triangle unknown quantity VC² versed sine whence wherefore whole numbers x=the
Beliebte Passagen
Seite 280 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Seite 235 - If two triangles have two sides of the one equal to two sides of the...
Seite 247 - TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Seite 62 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Seite 353 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Seite 232 - But things which are equal to the same are equal to one another...
Seite 256 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Seite 160 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of
Seite 269 - II. Two magnitudes are said to be reciprocally proportional to two others, when one of the first is to one of the other magnitudes as the remaining one of the last two is to the remaining one of the first.
Seite 272 - 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.