## 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 19

Page xiii

...

...

**given square**, 214. To transform a triangle into an equivalent parallelogram , 215. Two diagonals in a parallelogram ... square or lozenge 2 CONTENTS . xiii. Page xiv

... square or lozenge cut each other at right angles ; in other parallelograms at oblique angles , • • Page 119 119 217 ...

... square or lozenge cut each other at right angles ; in other parallelograms at oblique angles , • • Page 119 119 217 ...

**given squares**, " 6 66 equivalent to the sum of 3 , 4 , 5 , or more squares , • 4 , 9 , 16 , & c . times as great as a ... Page xv

...

...

**equal**altitude , 252. ፡፡ triangles of**equal**bases , 253. ( ( 254. ( 6 ...**given**lines , 263. If the sides of an angle are divided proportionately ...**square**, · . 149 · . 149 281. Ratio of the perimeters of similar triangles ... Page 57

...

...

**square**, ( fig . 56 , ) is also used for drawing and measuring right angles ...**given**line so that the centre shall fall exactly on the point O. Mark on the ...**Square**. Draw straight lines ANGLES . 57. Page 58

...

...

**Square**. Draw straight lines along the 2 sides which make the right angle , and at their point of junction a right angle will be made upon the paper . If one of the sides of the required angle be**given**, apply one side of the**square**to this ...### 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.