The Teacher's Assistant in the "Course of Mathematics Adapted to the Method of Instruction in the American Colleges |
From inside the book
Results 1-5 of 76
Page 6
... less magnitude said to be a part of a greater ? When is a greater mag- nitude a multiple of a less ? What is ratio ? When are magnitudes said to be of the same kind ? When does one magnitude have the same ratio to a second that a third ...
... less magnitude said to be a part of a greater ? When is a greater mag- nitude a multiple of a less ? What is ratio ? When are magnitudes said to be of the same kind ? When does one magnitude have the same ratio to a second that a third ...
Page 14
... less to the great . er ? and what is the ratio of radius to the tangent of the angle above forty five degrees ? In a plane triangle , what is the ratio of the product of twice any two sides to the difference between the sum of the ...
... less to the great . er ? and what is the ratio of radius to the tangent of the angle above forty five degrees ? In a plane triangle , what is the ratio of the product of twice any two sides to the difference between the sum of the ...
Page 17
... less number from a greater to show the difference between them . The greater number is called the minuend , the less the subtrahend , and the difference between the num . bers is called the remainder . Multiplication is a concise mode ...
... less number from a greater to show the difference between them . The greater number is called the minuend , the less the subtrahend , and the difference between the num . bers is called the remainder . Multiplication is a concise mode ...
Page 18
... less than the divisor , and of the same name with the dividend . Rule for division . 1. Place the divisor on the left of the dividend . 2. For the first quotient figure , divide as many places on the left of the dividend as there are ...
... less than the divisor , and of the same name with the dividend . Rule for division . 1. Place the divisor on the left of the dividend . 2. For the first quotient figure , divide as many places on the left of the dividend as there are ...
Page 19
... less than the de- nominator , as . An improper fraction is when the numera- tor is greater than the denominator , as 3. A compound fraction is the fraction of a fraction , as of . A mixed fraction is composed of a whole number and a ...
... less than the de- nominator , as . An improper fraction is when the numera- tor is greater than the denominator , as 3. A compound fraction is the fraction of a fraction , as of . A mixed fraction is composed of a whole number and a ...
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Common terms and phrases
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
Popular passages
Page 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...
Page 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.
Page 42 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles...
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.
Page 33 - Then divide the first term of the remainder by the first term of the divisor...