A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volume 1C. Glendinning, 1807 - Mathematics |
From inside the book
Results 1-5 of 30
Page
... Parallelograms and Triangles S Of Ratios and Proportions Of similar Plane Figures .... p . 90 and 149 95 97 99 102 . 103 .114 .... 117 · from p . 125 to p . 159 159 165 169 169 170 173 174 180 .. 183 184 192 201 206 211 224 . Of Planes ...
... Parallelograms and Triangles S Of Ratios and Proportions Of similar Plane Figures .... p . 90 and 149 95 97 99 102 . 103 .114 .... 117 · from p . 125 to p . 159 159 165 169 169 170 173 174 180 .. 183 184 192 201 206 211 224 . Of Planes ...
Page 182
... parallelogram having all its angles right ones , as G. 23. A square is a parallelogram having all its sides equal , and all its angles right ones , as H. 24. A rhomboid is an oblique angled parallelo- gram , as I. 25. A rhombus is an ...
... parallelogram having all its angles right ones , as G. 23. A square is a parallelogram having all its sides equal , and all its angles right ones , as H. 24. A rhomboid is an oblique angled parallelo- gram , as I. 25. A rhombus is an ...
Page 183
... parallelogram or triangle . S P T L M Ο R The perpendicular ST is also called the distance of the point S from the line PQ , or the distance of the parallels SR , PQ . 30. All right lined plane figures having more than four sides are ...
... parallelogram or triangle . S P T L M Ο R The perpendicular ST is also called the distance of the point S from the line PQ , or the distance of the parallels SR , PQ . 30. All right lined plane figures having more than four sides are ...
Page 201
... parallelogram ABCD divides it into two equal parts or triangles DBA , DCB . For the angles of the two triangles DAB ... parallelogram are re spectively equal to each other . 81. If a ght line GR bisects or divides the diagonal DB of the ...
... parallelogram ABCD divides it into two equal parts or triangles DBA , DCB . For the angles of the two triangles DAB ... parallelogram are re spectively equal to each other . 81. If a ght line GR bisects or divides the diagonal DB of the ...
Page 202
... parallelogram GADS is equal to the parallelogram NBCR . But GR divides the parallelogram SGNR into two equal triangles GSR , GNR ( 80 ) ; therefore as the parallelograms GADS , NBCR are equal , the trapezoids GADR , BCRG , each ...
... parallelogram GADS is equal to the parallelogram NBCR . But GR divides the parallelogram SGNR into two equal triangles GSR , GNR ( 80 ) ; therefore as the parallelograms GADS , NBCR are equal , the trapezoids GADR , BCRG , each ...
Common terms and phrases
angle ACB arith arithmetical arithmetical mean base battalions bisect breadth centre chord ciphers circle circumference consequently corol cosine cube root cubic decimal defilé diameter diff difference distance ditch divided dividend division divisor example farthings feet figure frustum give given line half the arc half the perimeter height Hence horizontal improper fraction inches integer intersection isosceles least common multiple length logarithm mean proportional measure miles mixt number multiplied nearly number of terms opposite angles paces parallel parallelogram perpendicular plane polygon prism pyramid quadrilateral quotient radius ratio rectangle Reduce remainder rhombus right angles right line right-angled triangle scale of equal segment shillings sides similar sine square root subtracted Suppose tangent Theodolite toises VULGAR FRACTIONS whole number yards
Popular passages
Page 100 - 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 95 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Page 220 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Page 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 114 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Page 189 - 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 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Page 165 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 211 - If there be any number of proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Page 207 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side