A Course of Mathematics: Designed for the Use of the Officers and Cadets, of the Royal Military College, Volumes 1-2author, 1807 - Mathematics |
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Page 182
... sides are three , the figure is a triangle . 15. An equilateral triangle is that whose sides are all equal , as A. 16. An isosceles triangle is that which has only two sides equal , as B. 17. A scalene triangle is when all the three sides ...
... sides are three , the figure is a triangle . 15. An equilateral triangle is that whose sides are all equal , as A. 16. An isosceles triangle is that which has only two sides equal , as B. 17. A scalene triangle is when all the three sides ...
Page 183
... sides , as L. 27. A trapezium is a quadrilateral in which none of the sides are parallel , as M. 28. A right line joining any two opposite angles of a quadrilateral is called a diagonal , as NO . 29. The side PQ upon which any paral ...
... sides , as L. 27. A trapezium is a quadrilateral in which none of the sides are parallel , as M. 28. A right line joining any two opposite angles of a quadrilateral is called a diagonal , as NO . 29. The side PQ upon which any paral ...
Page 184
... sides ba , bd of the other , and the included angles B and b also equal ; the triangles are identical , or equal in ... side BA fall upon ba : Then the angles at B and b be- al eq the ૐ 3 b ן ' g supposed equal , the 184 GEOMETRY ...
... sides ba , bd of the other , and the included angles B and b also equal ; the triangles are identical , or equal in ... side BA fall upon ba : Then the angles at B and b be- al eq the ૐ 3 b ן ' g supposed equal , the 184 GEOMETRY ...
Page 185
... sides , and also the two vertical angles , must coincide , and will therefore be respectively equal . 39. The angles which one right line make with another on the same side , ae together equal to two right angles . Let the line DP meet ...
... sides , and also the two vertical angles , must coincide , and will therefore be respectively equal . 39. The angles which one right line make with another on the same side , ae together equal to two right angles . Let the line DP meet ...
Page 186
... sides PB , PC , of the triangle PBC , are respectively equal to the sides PA , of the triangle PAD , and the included angles at P also equal ( 39 ) , the ' wo triangles are identical ( 38 ) , and therefore the angles opposite the equal ...
... sides PB , PC , of the triangle PBC , are respectively equal to the sides PA , of the triangle PAD , and the included angles at P also equal ( 39 ) , the ' wo triangles are identical ( 38 ) , and therefore the angles opposite the equal ...
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A Course Of Mathematics Designed For The Use Of The Officers And Cadets Of ... Isaac Dalby No preview available - 2020 |
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... Isaac Dalby No preview available - 2016 |
A Course of Mathematics, Vol. 2: Designed for the Use of the Officers and ... Isaac Dalby No preview available - 2016 |
Common terms and phrases
Arith arithmetical axis base battalions bisect body breadth center of gravity chord circle circumference coefficients column common consequently Corol cosine cube root cubic curve cylinder decimal denominator denote diameter difference distance divided dividend division divisor equal equation example feet figure fluid force fraction frustum Geom geometrical geometrical progression given gives greater half Hence horizontal hyperbola inches integer length logarithm measure miles multiplied nearly number of terms ounces parabola parallel parallelogram perpendicular plane prism quantities quotient radius ratio rectangle reduced remainder respectively right angles right line SCHOLIUM sides similar similar triangles sine specific gravity square root subtracted Suppose surface tangent triangle velocity vulgar fraction weight whence whole number yards
Popular passages
Page 82 - Multiply the whole augmented divisor by this last quotient figure, and subtract the product from the said dividend, bringing down to the next period of the given number, for a new dividend. Repeat the same process over again — viz. find another new divisor, by doubling all the figures now...
Page 173 - A sector, is any part of a circle bounded by an arc, and two radii, drawn to its extremities. A quadrant, or quarter of a circle, is a sector having a quarter part of the circumference for its arc, and the two radii perpendicular to each other.
Page 5 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
Page 299 - Tht-rvfore, shot which are of different weights, and impelled by the firing of different charges of powder, acquire velocities which are directly as the square roots of the charges of powder, and inversely as the square roots of the weights of the shot.
Page 184 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Page 172 - The radius of a circle is a right line drawn from the centre to the circumference.
Page 318 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Page 87 - ... progression, is equal to the sum of the first and last terms multiplied by half the number of terms; therefore, the sum of the moments about R, is 5,000 X 5!Lą.§!
Page 82 - Divide the given number into periods of two figures each, by setting a point over the place of units, another over the place of hundreds, and so on over every second figure, both to the left hand in integers, and to the right hand in decimals.
Page 164 - An Axiom is a self-evident truth, not only too simple to require, but too simple to admit of demonstration. A Proposition is something which is either proposed to be done, or to be demonstrated, and is either a problem or a theorem. A Problem is something proposed to be done. A Theorem is something proposed to be demon'strated. A...