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

### From inside the book

Results 6-10 of 46

Page 14

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**circumference**; 4 semi - circum- ferences ; 4 quarter -**circumferences**; 4 three - quarter -**circumferences**. Rectilineal . The same as fig . 12 . Mixtilineal . 8 mixtilineal acute angles ; 8 mixtilineal right angles ; 8 mixtilineal ... Page 48

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**circumference**of a circle ; the point of the fixed leg is the centre of the circle . The size of the circle depends upon the greater or less dis- tance between the points of the compasses . The radius of the circle is exactly equal to ... Page 49

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**circumferences**will remain in all parts at the same distance one from another . Two such circles , besides having a common centre , have the surface of the smaller in common , and the difference between their surfaces is an annular ... Page 50

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**circumferences**. In 6 the distance is exactly equal to the difference of the radii . 50. Suppose it is required to draw 10 straight lines , of which the 1st shall be 1 inch long , the 2d 2 inches long , and the 3d 3 inches long , and so ... Page 51

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**circumferences**touching at 1 point , ( fig . 46. 3. ) From A , as a centre , with an opening of the compasses , or , ( to speak more technically , ) a radius , less than AB , for example AC , describe a circle ; from B , as a centre ...### Other editions - View all

### Common terms and phrases

adjacent angles angle BAC angles are equal Bisect centre chord circumference coincide concave angles consequently angle construct a square convex angle convex surface cube curved line cylinder decagonal describe a circle diagonals diameter divided division points draw a line Draw a straight equal altitude equal angles equal bases equivalent erect a perpendicular exterior angles feet found by multiplying given number given square greatest number hexagon homologous sides hypothenuse inches inscribed circle isosceles triangle length let fall line drawn line passes magnitude measured Multiply the number number of lines number of points number of straight opposite parallelogram parallelopiped passes 2 points pendicular pentagon proportion protractor quadrilateral radii radius equal ratio regular polygon right angle semi-circumference set intersecting side AC similar similar triangles solidity sphere straight line suppose tangents triangle ABC triangular prism unequal vertex vertices

### 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.