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A B C ABCD acute adjacent altitude base called centre chord circle circumference common complement cone consequently contained corresponding cosine Cotang decimal described determine diagonal diameter difference distance divided draw drawn edge equal equivalent EXAMPLES faces feet figure four frustum given greater half the sum hence hypothenuse inches included inscribed joining length less logarithm manner means measured meet middle Multiply negative opposite parallel parallelogram pass perpendicular plane polygon positive prism PROBLEM Prop proportional PROPOSITION pyramid radius ratio rectangle regular remain right angles right-angled triangle rods Scholium secant segment side similar solidity solve sphere spherical triangle square straight line surface taken tangent third triangle triangle ABC values whole yards
Seite 35 - 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.
Seite 117 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Seite 50 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let A : B : : C : D : : E : F; then will A : B : : A + C + E : B + D + F.
Seite 77 - Two rectangles having equal altitudes are to each other as their bases.
Seite 158 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Seite 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Seite 314 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Seite 100 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.