A system of popular trigonometry1835 |
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Página viii
... half the product of any side taken as base , and the corresponding altitude , 22 . ART . 3. The side of a square is to its diagonal as unity to the square - root of two , ibid . ART . 4. The altitude of an equilateral triangle is to the ...
... half the product of any side taken as base , and the corresponding altitude , 22 . ART . 3. The side of a square is to its diagonal as unity to the square - root of two , ibid . ART . 4. The altitude of an equilateral triangle is to the ...
Página ix
... half the chord of twice the corresponding arch , ibid . ART . 8. The rectangle under the radius and the sine of ... half a right angle is equal to the radius , 53 . ART . 11. The sine is equal to the cosine of half a right angle , and ...
... half the chord of twice the corresponding arch , ibid . ART . 8. The rectangle under the radius and the sine of ... half a right angle is equal to the radius , 53 . ART . 11. The sine is equal to the cosine of half a right angle , and ...
Página x
George Darley. ART . 19. In a triangle the tangent of half the sum of any two angles is to the tangent of half their difference , as the sum of the opposite sides is to their difference , 75 . ART . 20. In a triangle the cosine of any ...
George Darley. ART . 19. In a triangle the tangent of half the sum of any two angles is to the tangent of half their difference , as the sum of the opposite sides is to their difference , 75 . ART . 20. In a triangle the cosine of any ...
Página 22
... half the product of any side taken as base , and the corresponding altitude . In the triangle ABC , if the side ac be taken as base , and the perpendicu- lar to it , BD , as altitude ; then , the area of ABC = AC X BD 2 B D C DEM . BY ...
... half the product of any side taken as base , and the corresponding altitude . In the triangle ABC , if the side ac be taken as base , and the perpendicu- lar to it , BD , as altitude ; then , the area of ABC = AC X BD 2 B D C DEM . BY ...
Página 23
... half the side as the square - root of three to unity . For , by the third equation above , p : S P ::: √3 : 1 . ART . 5. Given any two sides of a right - angled triangle , the third may be found . Let any two sides of the triangle ABC ...
... half the side as the square - root of three to unity . For , by the third equation above , p : S P ::: √3 : 1 . ART . 5. Given any two sides of a right - angled triangle , the third may be found . Let any two sides of the triangle ABC ...
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Palavras e frases frequentes
ABCD AC AC algebraical quantities angle ACD angle bac angle is equal angular CD² centre compute Consequently corresponding cos² cosec cosine of ACD cotan determine the magnitude dicular DIONYSIUS LARDNER divided EFGH equal to half equal to one-third equation figure formula GEOM geometric series geometrical given angle goniometrical circle goniometrical lines half a right Hence inasmuch inscribed square length Let ACD likewise linear unit logarithms means opposite parallelopiped perpen perpendicular plane ABO prec radius ratio rectangle respectively right angle right-angled triangle sec² secant sides and angles sin² sine of ACD sphere submultiple subtractive supplementary angles suppose tan² tangent third side three sides Treatise triangle ABC TRIGONOMETRY
Passagens conhecidas
Página 110 - PRINCIPLES OF GEOMETRY, familiarly Illustrated, and applied to a variety of useful purposes. Designed for the Instruction of Young Persons.
Página 111 - I vol. 8vo. THE STEAM ENGINE. Explained and illustrated in a familiar style, with its application to the Arts and Manufactures, more especially in transport by Land and Water ; with some account of the Rail Roads now in progress in various parts of the World. By the Rev. DIONYSIUS LARDNER, LL.
Página vi - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página iii - A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line.
Página 5 - Now, we know that the three angles of any triangle, taken together, are equal to two right angles...
Página 110 - Dr. Ritchie's little elementary work is excellently well adapted to its object. It is brief, plain, and full of all that is necessary : curious and useful in its application ; and beyond any other of the kind now existent in its familiar and distinct explanation of some of the instruments required in the practical application of the principles laid down and demonstrated.
Página 53 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Página iii - THEOREM. Every section of a sphere, made by a plane, is a circle.
Página 37 - The sum of the squares of the sine and cosine of an angle is...