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A'BC adjoining figure Aldebaran altitude ANALYTICAL GEOMETRY angle opposite angled spherical triangle Arcturus Area in acres Arithmetic B.cos B.sin Book chord circumference comp complement cosine course diameter dist draw equal equation equilateral example feet find the angle following proportion formula Geometry given angle gives greater than 90 half Hence hypotenuse i?+log i(S+m inscribed circle intersection isosceles iZ.cos iZ.sin Join latitude less Let ABC let fall line drawn observer parabola parallel pendicular perpendicular plane sailing plane xy PROBLEM radius represented right angled spherical right angled triangle right ascension Robinson's segment side opposite solution solve SPHERICAL TRIGONOMETRY Spica square Substituting subtracting sun's declination Supplement tangent text-book trian triangle ABC true distance University Algebra values Whence
Side 97 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Side 40 - 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.
Side 46 - The difference of the angles at the base of any triangle, is double the angle contained by a line drawn from the vertex perpendicular to the base, and another bisecting the angle at the vertex.
Side 29 - To determine a Right-angled Triangle ; having given the Hypothenuse, and the Difference of two Lines drawn from the two acute angles to the Centre of the Inscribed Circle.
Side 276 - This little book is written and published as a part of Robinson's Mathematical Series. but of course it may be used in connection with any other series or any text-book on the subject of arithmetic. The book is gotten up handsomely and, accompanying some good text-book on arithmetic. would unquestionably do good service. The problems are classified as to subjects, rendering the book usable in classes of all grades.
Side 275 - It is gratifying to observe the perfection to which this firm has attained in the manufacture of School Books, as also the merited success of their books, for they are probnbty the most widely used of any similar publications issued in this country. All are standard and unsurpassed, and deservedly stand in the front rank...
Side 45 - If from any point within an equilateral triangle perpendiculars be drawn to the three sides, their sum is equal to a perpendicular drawn from one of the angles on the opposite side. Required proof. From the point within the triangle draw...
Side 52 - A straight line drawn from the vertex of an equilateral triangle inscribed in a circle, to any point in the opposite circumference, is equal to the sum of the two lines •which are drawn from the extremities of the base to the eame point.