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

### From inside the book

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Page 27

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**found by multiplying**together two numbers , whose dif- ference is 3. We must therefore seek for two numbers whose ... find the number of extents in each line , ( 27 , ) and multiply this product by the number of lines ; we shall ... Page 96

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**found by multiplying**its base by its altitude . 161. Every triangle is equivalent to the half of a par- allelogram of equal base and equal altitude . Hence the area of a triangle is**found by multiplying**its base by its altitude , and ... Page 97

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**found by multiplying**its perimeter by half the radius of the inscribed circle . Take for example the regular pentagon ABCDE , ( fig . 97. ) From the centre O of the inscribed circle draw the lines OA , OB , & c . , to the vertices of ... Page 104

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**found by multiplying**the circumference by 100 and dividing the product by 314. For example , if the circumference of a circle is 50 feet , the diameter is 50 × 100 = 1539 feet . 314 8. MENSURATION OF CIRCLES . 182. The quadrature or ... Page 107

... Find the area of each face , and the sum of the whole will be the superficial con- tents of the prism . 189 ...

... Find the area of each face , and the sum of the whole will be the superficial con- tents of the prism . 189 ...

**found by multiplying**the circumference of one of the bases by the altitude of the cylinder . To this product add the ...### 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.