## 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 74

Page xi

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**angle**, • 102. Division of**angles**according to the nature of their sides , 103. When**angles**are**equal**, 104. Adjacent and vertical**angles**, • Page . 73 73 74 · 74 74 75 75 75 76 , 77 78 · 79 105. Of the**angles**made by the intersection ... Page xii

... angles of a quadrilateral , • 146. A parallelogram divided by a diagonal into 2 equal triangles , 147. In a parallelogram the sides opposite to

... angles of a quadrilateral , • 146. A parallelogram divided by a diagonal into 2 equal triangles , 147. In a parallelogram the sides opposite to

**equal angles**are equal , . 148. Definition of equivalent figures , 149. Altitude of a figure ... Page xiv

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**angles**; in other parallelograms at oblique**angles**, • • Page 119 119 217. Diagonals in a square or lozenge divide the**angles**into**equal**. parts ; in other parallelograms into unequal parts , 218. To divide a parallelogram into 2 , 3 ... Page xviii

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**equal**to the line AB . To avoid the frequent repetition of the term right**angle**, the abbreviation R. A. is substituted . Thus 2 R. A. is read two right**angles**. PART FIRST . EXAMINATION AND IMITATION . In the following xviii ... Page 2

... equal one to another . No side is longer or shorter than another side ; all are equally long . All the 24 line angles are equal . Each face has 4

... equal one to another . No side is longer or shorter than another side ; all are equally long . All the 24 line angles are equal . Each face has 4

**equal angles**. A figure having 4 angles is called a tetragon , from two Greek words ...### 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.