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

### From inside the book

Results 1-5 of 14

Page 49

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**feet**radius . Many circles may be described , that is drawn , about the same centre ; and their circumferences will remain in all parts at the same distance one from another . Two such circles , besides having a common centre , have the ... Page 74

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**feet**and inches are marked . If we have a line of great length to mea- sure , we take a rod or a mile as the linear unit , and in performing the operation of measuring we make use of a wooden or metallic rod , of a tape , or of a chain ... Page 104

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**feet**; the circumference is 10 X 314 100 - 31**feet**. If the circumference is known , the diameter may be found by multiplying the circumference by 100 and dividing the product by 314. For example , if the circumference of a circle is 50 ... Page 105

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**feet**. Mul- tiply 25**feet**by the radius or the diameter , and we have 25 × 2 = 50 square**feet**for the area of the circle . 183. The process for finding the area of the sector of a circle , that is , the portion contained between an arc ... Page 107

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**feet**, then the area of one face 2 × 2 = 4 square**feet**, and the su- perficial contents of the whole cube will be equal to 4 X 624 square**feet**. = - 190. The surface of a perpendicular cylinder con- sists of two equal circles , and ...### 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.