## 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 75

Page xi

... a

... a

**straight line**, 99. What is meant by measuring . Units of measure , 100. In what manner the operation is performed , 101. Definition of an angle , • 102. Division of angles according to the nature of their sides , 103. When angles are ... Page xiv

... a square or lozenge divide the angles into equal . parts ; in other parallelograms into unequal parts , 218. To divide a parallelogram into 2 , 3 , 4 , or more equal parts , 119 219. A

... a square or lozenge divide the angles into equal . parts ; in other parallelograms into unequal parts , 218. To divide a parallelogram into 2 , 3 , 4 , or more equal parts , 119 219. A

**straight line**drawn through the middle of a diagonal of ... Page xv

... a triangle are divi- ded by

... a triangle are divi- ded by

**a line**parallel to the base , such parallel line to the base , • 261. To find a fourth proportional to three given lines , 263. If the sides of an angle are divided proportionately , the**straight lines**... Page 1

... line ; 3 surface axes , that is , imaginary

... line ; 3 surface axes , that is , imaginary

**straight lines**from the middle of one surface to the middle of the opposite surface , upon which the cube may be ...**straight lines**pass- ing from corner to corner , through the middle point. Page 2

... line axes , or imaginary

... line axes , or imaginary

**straight lines**passing through the cube as before and joining the middle . points of two lines . Each of these surfaces is a plane surface , or simply a plane ; that is , if we take two points in any part of it ...### 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.