A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids: Being the Third Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesOliver Steele, printer, 1815 - 96 páginas |
Dentro del libro
Resultados 1-5 de 36
Página 51
... meridian on the earth , ADB one of the polar circles , and P the pole ; then the frigid zone is a spherical segment described by the revolution of the arc APB about PD . The angle ACD subtended by the are AP is 23 ° 28 ' . And in the ...
... meridian on the earth , ADB one of the polar circles , and P the pole ; then the frigid zone is a spherical segment described by the revolution of the arc APB about PD . The angle ACD subtended by the are AP is 23 ° 28 ' . And in the ...
Página 13
... meridian is 32 ° , strikes a certain point on a level plain below ; but when the meridian altitude of the sun is 67 ° , the shadow strikes half a mile farther north , on the same plain . What is the height of the mountain above the ...
... meridian is 32 ° , strikes a certain point on a level plain below ; but when the meridian altitude of the sun is 67 ° , the shadow strikes half a mile farther north , on the same plain . What is the height of the mountain above the ...
Página 16
... meridian , which nearly coin- cides with the astronomical meridian , or a north and south line . * Directly over the needle , a line is drawn on a card , one end of which is marked N , and the other S. The whole circumference is divided ...
... meridian , which nearly coin- cides with the astronomical meridian , or a north and south line . * Directly over the needle , a line is drawn on a card , one end of which is marked N , and the other S. The whole circumference is divided ...
Página 18
... meridian line pass ing through the ship , and the direction in which she sails . It is described by saying that it is so many points or degrees east or west from a north or south line . Thus if the vessel steers NE by E , the course is ...
... meridian line pass ing through the ship , and the direction in which she sails . It is described by saying that it is so many points or degrees east or west from a north or south line . Thus if the vessel steers NE by E , the course is ...
Página 19
... meridian distance measured on the parallel upon which the ship has arrived , but greater than AD the meridian distance on the parallel which she has left . 41. The distance , departure , and difference of latitude , are measured in ...
... meridian distance measured on the parallel upon which the ship has arrived , but greater than AD the meridian distance on the parallel which she has left . 41. The distance , departure , and difference of latitude , are measured in ...
Otras ediciones - Ver todas
A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Sin vista previa disponible - 2023 |
A Practical Application of the Principles of Geometry to the Mensuration of ... Jeremiah Day Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD arithmetical complement axis base calculation centre circle circular segment circumference column cone cosecant cosine cotangent course cylinder decimal departure diameter Diff difference of latitude difference of longitude distance divided earth equal equator errour feet figure find the area find the SOLIDITY frustum given side gles greater half horizon hypothenuse inches JEREMIAH DAY length less logarithm measured Mercator's Merid meridian meridional difference middle latitude miles minutes multiplied negative number of degrees number of sides object oblique opposite parallelogram parallelopiped perimeter perpendicular plane sailing polygon prism PROBLEM proportion pyramid quadrant quantity quotient radius regular polygon right angled triangle right ascension right cylinder rods root secant segment sine sines and cosines slant-height sphere square subtract surface tables tangent term theorem tion trapezium triangle ABC Trig trigonometry whole
Pasajes populares
Página 68 - 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 37 - A right cone is a solid described by the revolution of a right angled triangle about one of the sides which contain the right angle.
Página 67 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
Página 105 - 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 8 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 49 - ... at the head of the column, take the degrees at the top of the table, and the minutes on the left; but if the title be at the foot of the column, take the degrees at the bottom, and the minutes on the right.
Página 16 - THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Página 42 - Jidd together the areas of the two ends, and the square root of the product of these areas ; and multiply the sum by \ of the perpendicular height.