The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying: Adapted to the Method of Instruction in the American CollegesH. Howe & Company, 1836 |
Términos y frases comunes
ABCD altitude axis base calculation circle circular segment circumference column cone cosecant cosine cotangent course cylinder decimal departure and difference diameter Diff difference of latitude difference of longitude distance divided earth equator feet figure find the SOLIDITY frustum given side gles greater horizon hypothenuse inches JEREMIAH DAY length less line of chords logarithm measured Mercator's Merid meridian meridional difference miles minutes multiplied negative number of degrees number of sides object oblique opposite parallel of latitude parallelogram parallelopiped perimeter perpendicular plane sailing prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right ascension right cylinder rods root scale secant segment sine sines and cosines slant-height sphere spherical square subtract surface tables tangent term theorem trapezium triangle ABC Trig trigonometry whole
Pasajes populares
Página 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 12 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Página 41 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.
Página 118 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Página 20 - THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Página 27 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 48 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Página 62 - ... be at the head of the column, take the degrees at the top of the table, and the minutes on the left ; but if the...
Página 51 - The SINE of an arc is a straight line drawn from one end of the arc, perpendicular to a diameter which passes through the other end.
Página 37 - And the solidity =(1012+756 +4x880)xl2=63456 feet. 2. What is the solidity of a stick of hewn timber, whose ends are 30 inches by 27, and 24 by 18, and whose length is 48 feet? Ans. 204 feet. Other solids not treated of in this section, if they be bounded by plane surfaces, may be measured by supposing them to be divided into prisms, pyramids, and wedges. And, indeed, every such sohi may be considered as made up of triangular pyramids.