## Numerical Problems in Plane Geometry with Metric and Logarithmic Tables |

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Page 96

Two triangles having

Two triangles having

**an angle of one equal to an angle of the other are to each other**as the product of the sides including the equal angles . 6. Find the ratio of the radius of a circle to the side of the inscribed square . 7.### What people are saying - Write a review

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acres adjacent altitude answer base bisect bisector centre characteristic chord circle circumference circumscribed College Construct corresponding decimal Define described diagonals diameter difference distance divided draw drawn equal equilateral equivalent exterior external extreme feet figure Find the area find the length Find the number Find the radius Find the side foot formed four GEOMETRY give given given point greater half hexagon homologous sides HOURS hypotenuse inches included increase inscribed intercepted interior intersect isosceles June less line joining logarithm mantissa meet metres middle points miles NOTE one-half opposite sides parallel parallelogram perimeter perpendicular plane problems projection Prove quadrilateral radii radius ratio rectangle regular hexagon regular polygon respectively right angles School scribed secant segments Show similar triangles square square feet straight line subtended tangent third side trapezoid triangle units University vertex vertices yards

### Popular passages

Page 81 - Similar triangles are to each other as the squares of their homologous sides.

Page 102 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 80 - If four quantities are in proportion, they are in proportion by composition, ie the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.

Page 94 - 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'.

Page 102 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.

Page 141 - When the length of the primary unit of this system was determined it was supposed to be one ten-millionth of the distance from the equator to the pole.

Page 102 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 69 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.

Page 88 - An angle formed by two chords intersecting within the circumference of a circle is measured by one-half the sum of the intercepted arcs.

Page 75 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...