## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method of Instruction in the American Colleges |

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### Common terms and phrases

a-tan added answer arithmetical base body Changing signs circle circumference Clearing of fractions co-efficients Co-secant Co-sine Co-tang Completing the square cot a cot Course Cube Roots denominator diameter Diff difference of latitude Diſ Dist distance Dividing divisor equal equation Euclid Extracting the square extremes and means feet Figure find the angle find the area find the solidity formula frustum geometrical geometrical progression geometrical series given greater Hence hight hypothenuse inches less Let r=the logarithm magnitude Merid miles Multiplying extremes natural number belonging parallelogram parallelopiped perpendicular plane sailing polygon problem proportion quantity quotient radius ratio rectangle contained Reduce right angles rods Secant sector segment sine ſšlš square root straight line Substi Substituting numbers subtracted surface tables tangent Theorem Transposing and uniting Trig velocity

### Popular passages

Page 38 - 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 51 - 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 44 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles...

Page 41 - 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 40 - 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 39 - 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 40 - 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 44 - 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 37 - 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 35 - Then divide the first term of the remainder by the first term of the divisor...