## 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 xii

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**vertices**, 157. Value of the exterior angles of a polygon , 90 . 91 91 • 91 220 92 92 94 95 95 96 . 96 96 97 158. Table of the size of angles in a regular figure , and surface , 159. Mensuration of a rectilineal figure . Superficial ... Page 14

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**vertices**of any two angles of a polygon , which are not already connected by one of the bounding lines . 18. Tell me all that you remark in this figure . ( Fig . 13. ) Figures . Rectilineal . The same as in fig . 12 . Curvilineal . 1 ... Page 26

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**vertex**of each angle to the**vertex**of one of the others . But each diagonal connects 2**vertices**, there- fore there can be only two diagonals in a quadrilateral . 3. In a pentagon are 5**vertices**; each is connected with 2 others by ... Page 33

... points , ( fig . 38. ) 4 R. 4 ob . 4 ac . 6 ob . 6 ac . 34. If there be only one angle at a point , we desig- nate it by the letter at the

... points , ( fig . 38. ) 4 R. 4 ob . 4 ac . 6 ob . 6 ac . 34. If there be only one angle at a point , we desig- nate it by the letter at the

**vertex**, as the point where the sides meet and form the angle is called . ANGLES . 33. Page 34

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**vertex**of the angle being placed in the middle ; or we sometimes use one letter placed within the**vertex**; as the angle BAC may also be called the angle x . Now let us suppose the side AC of the acute angle BAC to depart more and more ...### 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.