A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volum 1C. Glendinning, 1807 |
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Side 224
... , in one point . 113. Similar solid figures are such as have all their solid angles equal , each to each , and which are contained by the same number of similar planes . 114. A Prism is a solid whose ends are parallel [ 224 ]
... , in one point . 113. Similar solid figures are such as have all their solid angles equal , each to each , and which are contained by the same number of similar planes . 114. A Prism is a solid whose ends are parallel [ 224 ]
Side 225
... prism , its ends being the parallel and equal triangles AOC , DGB . 115 . D An upright prism is that which has the planes of the sides perpendicular to he ends or base . Thus AB is an upright prism ; the sides , or parallelograms CG ...
... prism , its ends being the parallel and equal triangles AOC , DGB . 115 . D An upright prism is that which has the planes of the sides perpendicular to he ends or base . Thus AB is an upright prism ; the sides , or parallelograms CG ...
Side 226
... prism , is the perpendi cular distance of the vertex , or upper plane thereof , from the plane of the base . THEOREMS . 125. The common section ( GH ) of two planes ( AB , CD ) is a right line . G For let the extreme points G , H , of ...
... prism , is the perpendi cular distance of the vertex , or upper plane thereof , from the plane of the base . THEOREMS . 125. The common section ( GH ) of two planes ( AB , CD ) is a right line . G For let the extreme points G , H , of ...
Side 228
... Prism ( AB ) be cut by a plane ( CD ) parallel to its base ( AG ) ; the section will be like and equal to the base ... prism are also parallel , namely , CR parallel to AH , RD parallel to HG , & c . and because the sides of the prism ...
... Prism ( AB ) be cut by a plane ( CD ) parallel to its base ( AG ) ; the section will be like and equal to the base ... prism are also parallel , namely , CR parallel to AH , RD parallel to HG , & c . and because the sides of the prism ...
Side 229
... prism AGRD ; and the same whole AR lessened by the solid DCRP leaves the prism ABCD : therefore the two remainders or prisms AC , AR are equal ( 33 ) , But the same conclu⚫ sion is manifest from the Method of Indivisibles , which ...
... prism AGRD ; and the same whole AR lessened by the solid DCRP leaves the prism ABCD : therefore the two remainders or prisms AC , AR are equal ( 33 ) , But the same conclu⚫ sion is manifest from the Method of Indivisibles , which ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 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.
Side 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.
Side 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Side 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.
Side 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.
Side 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