## 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 24

Page xii

...

...

**equal**triangles , 147. In a parallelogram the sides opposite to**equal**angles are**equal**, . 148. Definition of**equivalent**figures , 149.**Altitude**of a figure , 150 . 151 . Cases of**equivalent**parallelograms , 152. A triangle**equivalent**... Page xiv

... 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 ...

... 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 ...

**equal altitude**, 252. ፡፡ triangles xiv CONTENTS . Page xv

...

...

**equal altitude**, Page . . 130 · . 131 131 • . 132 • . 133 . 133 . 134 parallelograms of equal bases , triangles of unequal bases and unequal altitudes , parallelograms in general to one another , the parts into which the sides of a ... Page 89

...

...

**equal**to 4 R. A. Dem . By a diagonal the quadrilateral is divided into 2 triangles . The sum of the angles of each ...**altitude**of a parallelogram is a line drawn from one side perpendicular to the opposite side con- sidered as the base , or ... Page 90

... altitude of triangle ABC , ( fig . 86. ) 150. Two parallelograms having the same or equal bases and an

... altitude of triangle ABC , ( fig . 86. ) 150. Two parallelograms having the same or equal bases and an

**equal altitude**, are equivalent . Dem . Upon one of the sides of the parallelogram ABCD ( fig . 92 , ) construct a second ...### 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.