Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

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Longmans, Green and Company, 1896 - 144 σελίδες

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Δημοφιλή αποσπάσματα

Σελίδα 81 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 102 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 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.
Σελίδα 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'.
Σελίδα 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.
Σελίδα 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.
Σελίδα 102 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 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.
Σελίδα 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.
Σελίδα 75 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...

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