Key to Robinson's New Geometry and Trigonometry, and Conic Sections and Analytical Geometry: With Some Additional Astronomical Problems. Designed for Teachers and Students
Ivison, Blakeman, Taylor & Company, 1875
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A'BC AB'C adjoining figure Aldebaran altitude angle opposite angled spherical triangle Arcturus Area in acres Arithmetic Book chord circumference comp complement co÷rdinate cosine course cuts the axis diameter dist draw equal equation equilateral example feet find the angle following proportion formula Geometry given angle gives greater than 90 half Hence hypotenuse inscribed circle intersection isosceles Join latitude less Let ABC let fall line drawn observer parabola parallel perpendicular plane sailing Prob PROBLEM R.cos R.sin R+log radius Refraction represented right angled spherical right angled triangle right ascension Robinson's SCHOLIUM segment side opposite solution solve SPHERICAL TRIGONOMETRY Spica square Substituting subtracting Supplement tangent text-book trian triangle ABC true distance University Algebra values Whence
Page 97 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.