## An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |

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ABCD base called centre chord circle circumference coincide common compasses concave connected consequently construct contained convex cube curved line describe describe a circle diagonals diameter difference direction distance divided Draw Draw a straight edge ends entire equal equal angles equivalent erect example extents exterior angles faces fall feet figure formed give given greater greatest number half hexagon horizontal inches inscribed intersect isosceles triangle length less line passes magnitude manner measure meet middle number of lines number of points opposite parallel parallelogram pentagon perpendicular placed polygon position proportion pyramid quadrilateral radii radius radius equal ratio regular right angle rule set intersecting side AC sides similar solidity sphere square straight line Suppose surface taken tangents third triangle ABC unequal unit vertex vertices whole

### Popular passages

Page 130 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.

Page 154 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.