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 190
... opposite the equal sides of an isosceles tri- angle are also equal . If ABC be an isosceles triangle , having the side BA equal to the side BC . Then the angles at A B and C are equal . A P = Suppose the angle ABC to be bisected by the ...
... opposite the equal sides of an isosceles tri- angle are also equal . If ABC be an isosceles triangle , having the side BA equal to the side BC . Then the angles at A B and C are equal . A P = Suppose the angle ABC to be bisected by the ...
Side 191
... opposite the like sides are also respectively equal . The truth of this seems sufficiently evident B from Art . 38. It is however , demonstrated thus : D Let a side AC of one triangle coincide with the equal side AC of the other : then ...
... opposite the like sides are also respectively equal . The truth of this seems sufficiently evident B from Art . 38. It is however , demonstrated thus : D Let a side AC of one triangle coincide with the equal side AC of the other : then ...
Side 197
... opposite angles , or to the angle CPN and a right angle CNP ( 41 ) . And the angie RPA is also equal to the same angle CPN and a right angle RPC . Therefore the angles RPN , DCP are equal . And since the arc PD ( half of PDA ) is the ...
... opposite angles , or to the angle CPN and a right angle CNP ( 41 ) . And the angie RPA is also equal to the same angle CPN and a right angle RPC . Therefore the angles RPN , DCP are equal . And since the arc PD ( half of PDA ) is the ...
Side 198
... opposite angles CGP , CGP ( 41 ) , it is therefore equal to double the angle CPG . And for the same reason , the external angle ACO is double the angle CPA : therefore the whole angle GCA is double the whole angle GPA . 12. The angle ...
... opposite angles CGP , CGP ( 41 ) , it is therefore equal to double the angle CPG . And for the same reason , the external angle ACO is double the angle CPA : therefore the whole angle GCA is double the whole angle GPA . 12. The angle ...
Side 199
... opposite angles together are equal to two right angles . 75. If a side GA of a quadrangle inscribed in a circle le produced , the exterior angle OAR will be equal to the inward opposite angle GPR . For the angle GAR with its opposite ...
... opposite angles together are equal to two right angles . 75. If a side GA of a quadrangle inscribed in a circle le produced , the exterior angle OAR will be equal to the inward opposite angle GPR . For the angle GAR with its opposite ...
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