## 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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**drawing**straight**lines**to its vertices , 157. Value of the exterior angles of a polygon , 90 . 91 91 • 91 220 92 ...**draw**a tangent to a circle , 172. Measure of an inscribed angle , 173 . to Value of angles inscribed in segments ... Page xiv

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**line**drawn through the middle of a diagonal of a parallelogram bisects the parallelogram , • · • 220. Ratio of the ...**draw**a tangent to a circle from a given point , . 123 229. Case of equal tangents , • . 230. To bisect an angle made by two ... Page 3

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**lines**is horizontal ; the position of the op- posite face and its bounding**lines**is also horizontal ; the faces ...**draw**upon your slate all that has been remarked in the cube . 1. Straight**lines**.**Draw**straight**lines**from above to ... Page 4

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**Draw**many**lines**, which , if produced , will form one**line**. 2. Angles .**Draw**two straight**lines**which shall be perpendicular to one another , and thus make a right angle . Make right angles in all the positions in which you have drawn ... Page 8

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**lines**; and mixtilineal partly by curved , and partly by straight**lines**. 9.**Draw**upon your slates the following figures : — A triangle with equal sides and equal angles , that is , a regular triangle . A regular quadrilateral ; a ...### 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.