## 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 xii

... , 180. To inscribe a regular hexagon , • 181. Approximate ratio of

... , 180. To inscribe a regular hexagon , • 181. Approximate ratio of

**diameter**to circumference , · 97 26 97 98 98 99 99 99 · 100 , 101 . 101 · . 101 . 102 · . 102 . 102 Section . 182. To find the area of a circle xii CONTENTS . Page 10

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**diameter**, and it will divide the circle and its circumference into two equal parts , called respectively semi - circles and semi - circum- ferences . A straight line drawn from the centre to any point in the circumference is called a ... Page 54

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**diameters**EG and EH ; and from F draw the**diameters**FI and FK . From E , as a centre , with radius EG , describe the arc GH , and from F , with radius FI , describe the arc IK . Thus from the 4 exterior arcs IK , KH , ' HG , and GI , is ... Page 56

... numbered from the left towards the right , and from the right towards the left . The division lines are all drawn from a point in the middle of the

... numbered from the left towards the right , and from the right towards the left . The division lines are all drawn from a point in the middle of the

**diameter**, called the centre of the protractor . This point is 56 CONSTRUCTION . Page 57

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**diameter**. 62. Another instrument , called a square , ( fig . 56 , ) is also used for drawing and measuring right angles . This consists of two rulers fixed together at right angles with one another . Sometimes the ends of these two are ...### 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.