Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volumen2Printed at the University Press, by WilliamHilliard, 1801 |
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Página 30
... find the area of a parallelogram ; whether it be a square , a rectangle , a rhombus , or a rhomboid . RULE . * Multiply the length by the breadth , or perpendicular height , and the product will be the area . EXAMPLES . Take any ...
... find the area of a parallelogram ; whether it be a square , a rectangle , a rhombus , or a rhomboid . RULE . * Multiply the length by the breadth , or perpendicular height , and the product will be the area . EXAMPLES . Take any ...
Página 31
... find the area of a square , whose side is 6 inches or 6 feet , & c . 96 36 C Answer 36 B D 2. To find the area of a rectangle , whose length is and breadth 4 inches , or feet , & c . 9 4 36 4 Answer 36 C 9 3. To RULE 2. If any two sides ...
... find the area of a square , whose side is 6 inches or 6 feet , & c . 96 36 C Answer 36 B D 2. To find the area of a rectangle , whose length is and breadth 4 inches , or feet , & c . 9 4 36 4 Answer 36 C 9 3. To RULE 2. If any two sides ...
Página 32
... find the area of a rhombus , whose length is 6:20 chains , and perpendicular height 5'45 . 5.45 6:20 10900 3270 5.45 . Ans . 33 7900 square chains . 6.20 4. To find the area of the rhomboid , whose length is 12 feet 3 inches , and ...
... find the area of a rhombus , whose length is 6:20 chains , and perpendicular height 5'45 . 5.45 6:20 10900 3270 5.45 . Ans . 33 7900 square chains . 6.20 4. To find the area of the rhomboid , whose length is 12 feet 3 inches , and ...
Página 33
... find the area of a triangle . RULE I. *** Multiply the base by the perpendicular height , and half the product will be the area . RULE 2 . When the three sides only are given add the three sides together , and take half the sum ; from ...
... find the area of a triangle . RULE I. *** Multiply the base by the perpendicular height , and half the product will be the area . RULE 2 . When the three sides only are given add the three sides together , and take half the sum ; from ...
Página 35
... area of the triangle , whose base is 6.25 chains , and perpendicular height 5'20 chains . 6.25 5'20 12500 3125 2 ) 32 ° 5000 16.25 square chains , the answer . 2. To find the number of square yards in the triangle , whose three sides ...
... area of the triangle , whose base is 6.25 chains , and perpendicular height 5'20 chains . 6.25 5'20 12500 3125 2 ) 32 ° 5000 16.25 square chains , the answer . 2. To find the number of square yards in the triangle , whose three sides ...
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Términos y frases comunes
abscisses ADBA altitude angle answer axes axis azimuth base breadth bung diameter cask centre chord circumference cone conjugate cosine course curve declination departure dial diff difference of latitude difference of longitude distance divided draw drawn ecliptic ellipse equal equinoctial EXAMPLES feet figure find the area find the solidity frustum given head diameter height Hence horizon hour angle hour lines hyperbola hypotenuse intersection latit measure meridian middle latitude miles multiply the sum NOTE oblique circle opposite ordinate parabola parallel of latitude parallel sailing parallelogram perpendicular plane sailing pole primitive PROBLEM PROBLEM projection proportion quadrant radius rectangle Required the area Required the content right ascension right line RULE secant segment side sphere spherical triangle spindle square star station stile subtract sun's tance tang tangent THEOREM transverse trapezium triangle ABC ullage wine gallons yards
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Página 21 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Página 17 - To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Página 83 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 328 - The conjugate to any diameter is the line drawn through the centre, and parallel to the tangent of the curve at the vertex of the diameter. So...
Página 28 - But if the hypothenuse be made radius -, then each leg "will represent the sine of its opposite angle ; namely, the leg AB the sine of the arc AE or angle c, and the leg BC the sine of the arc CD or angle A.
Página 83 - The axis of a solid is a line drawn from the middle of one end to the middle of the opposite end ; as between the opposite ends of a prism.
Página 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Página 130 - Between these, in a right line, stands an ancient statue, the head whereof is 97 feet from the summit of the higher, and 86 feet from the top of the lower column, and the distance between the...
Página 205 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.