## 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 44

Page xi

...

...

**straight**line , 99. What is meant by measuring . Units of measure , 100. In what manner the operation is performed , 101. Definition of an**angle**, • 102. Division of**angles**according to the nature of their sides , 103. When**angles**are ... Page xiv

...

...

**right 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 ... Page xv

... angle are divided proportionately , the straight lines joining the division points will be parallel , . 134 134 136 ...

... angle are divided proportionately , the straight lines joining the division points will be parallel , . 134 134 136 ...

**right**-**angled**triangle , . 147 · 147 148 279. To find a mean proportional between two given lines , 280. To ... Page xviii

...

...

**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 EXPLANATION OF SIGNS . Page 2

... angle ; or more com- monly a quadrilateral , which means four - sided , because it has also 4 sides . Every ...

... angle ; or more com- monly a quadrilateral , which means four - sided , because it has also 4 sides . Every ...

**right angle**; that is , such an angle as is made by one straight line meet- ing another so as to make the adjacent ...### 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.