## 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 13

Page 49

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**inch**, 1 foot , or 1000 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 ... Page 50

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**inch**long , the 2d 2**inches**long , and the 3d 3**inches**long , and so on , the 10th being 10**inches**long . Draw a straight line of any length ; open the com- passes so that the points shall be 1**inch**apart , or , as it is more concisely ... Page 74

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**inch**, a foot , or a yard . When we actually perform the operation of measuring , we make use of a wooden or metallic rule , upon which the feet and**inches**are marked . If we have a line of great length to mea- sure , we take a rod ... Page 95

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**inch**, then each square is 1 square**inch**, and the area of the parallelo- gram is 5 × 3 15 square**inches**. If the linear unit is a rod , then each square is a square rod , and the paral- lelogram contains 15 square rods . = Thus we ... Page 109

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**inches**, then the circumference of a great circle of that sphere will be 314 X 10 100 31**inches**; and SOLIDS . 109 193 194 66 regular solids, sphere,### 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.