The Teacher's Assistant in the "Course of Mathematics Adapted to the Method of Instruction in the American CollegesDurrie & Peck, 1836 - 472 σελίδες |
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Σελίδα 11
... hence derived ? What is the center of gravity ? In regular plane figures , where is the center of gravity ? When will two weights acting at the extremities of an inflexible rod , be in equi- librio about a given point ? In any body ...
... hence derived ? What is the center of gravity ? In regular plane figures , where is the center of gravity ? When will two weights acting at the extremities of an inflexible rod , be in equi- librio about a given point ? In any body ...
Σελίδα 19
... Hence multiplying the numerator pro- duces the same effect upon the value , as dividing the denom- inator , and visa versa . If the numerator and denominator be both multiplied , or divided by the same number , the value of the fraction ...
... Hence multiplying the numerator pro- duces the same effect upon the value , as dividing the denom- inator , and visa versa . If the numerator and denominator be both multiplied , or divided by the same number , the value of the fraction ...
Σελίδα 34
... Hence two straight lines cannot enclose a space . Neither can two 11 . straight lines have a common segment ; that is , they cannot coincide in part without coinciding altogether . 4. A super- ficies is that which has only length and ...
... Hence two straight lines cannot enclose a space . Neither can two 11 . straight lines have a common segment ; that is , they cannot coincide in part without coinciding altogether . 4. A super- ficies is that which has only length and ...
Σελίδα 36
... hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . XVI . If one side of a triangle be produced , the exterior an- gle is greater than either of the interior , and ...
... hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . XVI . If one side of a triangle be produced , the exterior an- gle is greater than either of the interior , and ...
Σελίδα 39
... Hence the sum of the squares of any two lines is equal to twice the rectangle contained by the lines togeth- er with the square of the difference of the lines . VIII . If a straight line be divided into any two parts , four times the ...
... Hence the sum of the squares of any two lines is equal to twice the rectangle contained by the lines togeth- er with the square of the difference of the lines . VIII . If a straight line be divided into any two parts , four times the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
added answer arithmetical base body Changing signs circle circumference Clearing of fractions co-efficients Co-secant Co-sine Co-tangent Completing the square cot a cot Course Cube Roots denominator diameter Diff difference of latitude Dist distance Dividing divisor equal equation Euclid Extracting the square extremes and means feet find the angle find the area find the solidity frustum geometrical geometrical progression geometrical series given greater Hence hight hypothenuse inches less Let x=the logarithm magnitude Merid miles Multiplying extremes natural number belonging parallelogram parallelopiped perpendicular plane sailing polygon PROBLEM proportion quotient radius ratio rectangle contained Reduce right angles rods Secant sector segment Sine square root straight line Substi Substituting a's Substituting numbers Substituting y's value subtracted surface tables Tangent Theorem Transposing and uniting Trig velocity
Δημοφιλή αποσπάσματα
Σελίδα 36 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 49 - 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.
Σελίδα 42 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles...
Σελίδα 39 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 38 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 37 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Σελίδα 38 - Prove it. 6.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 on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 42 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 35 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Σελίδα 33 - Then divide the first term of the remainder by the first term of the divisor...