## 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 xiv

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**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 a parallelogram bisects the parallelogram , • · • 220. Ratio of the square of the ... Page xv

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**unequal**bases and**unequal**altitudes , parallelograms in general to one another , the parts into which the sides of a triangle are divi- ded by a line parallel to the base , such parallel line to the base , • 261. To find a fourth ... Page 6

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**unequal**sides , and those which are truncated so that their bases are no longer parallel to one another . 6. Angles which are not right angles have the com- mon name of oblique angles . An oblique angle may be greater or less than a ... Page 7

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**unequal**sides and**unequal**angles ; that is , a rhom- boid . You will remark that in the rhomboid , as also in the rectangle , the sides opposite to each other are equal . 10. A quadrilateral having two sides parallel to each other ... Page 28

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**unequal**. Call one A , the other B. Then A is either equal or not equal to B , and in the latter case A may be either longer or shorter than B. 3 Lines may all be of equal length . 2 may be equal , 1 not equal . All may be**unequal**...### 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.