An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |
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Page xi
... angles are equal , 75 104. Adjacent and vertical angles , 75 105. Of the angles made by the intersection of two parallel lines by a third line , 75 106 . to 111 . } Of the magnitude of the angles thus made , 76 , 77 112. When it may ...
... angles are equal , 75 104. Adjacent and vertical angles , 75 105. Of the angles made by the intersection of two parallel lines by a third line , 75 106 . to 111 . } Of the magnitude of the angles thus made , 76 , 77 112. When it may ...
Page xii
... angles of a quadrilateral , 89 146. A parallelogram divided by a diagonal into 2 equal triangles , 147. In a parallelogram the sides opposite to equal angles are 89 equal , 89 148. Definition of equivalent figures , 149. Altitude of a ...
... angles of a quadrilateral , 89 146. A parallelogram divided by a diagonal into 2 equal triangles , 147. In a parallelogram the sides opposite to equal angles are 89 equal , 89 148. Definition of equivalent figures , 149. Altitude of a ...
Page xiv
... angles , 119 217. Diagonals in a square or lozenge divide the angles into equal parts ; in other parallelograms into unequal parts , 119 218. To divide a parallelogram into 2 , 3 , 4 , or more equal parts , 119 219. A straight line ...
... angles , 119 217. Diagonals in a square or lozenge divide the angles into equal parts ; in other parallelograms into unequal parts , 119 218. To divide a parallelogram into 2 , 3 , 4 , or more equal parts , 119 219. A straight line ...
Page xviii
... equal to the line AB . To avoid the frequent repetition of the term right angle , the abbreviation R. A. is substituted . Thus 2 R. A. is read two right angles . PART FIRST . ΕΧΑΜΙΝΑTION AND IMITATION . In the following xviii ...
... equal to the line AB . To avoid the frequent repetition of the term right angle , the abbreviation R. A. is substituted . Thus 2 R. A. is read two right angles . PART FIRST . ΕΧΑΜΙΝΑTION AND IMITATION . In the following xviii ...
Page 2
... equal one to another . No side is longer or shorter than another side ; all are equally long . All the 24 line angles are equal . Each face has 4 equal angles . A figure having 4 angles is called a tetragon , from two Greek words ...
... equal one to another . No side is longer or shorter than another side ; all are equally long . All the 24 line angles are equal . Each face has 4 equal angles . A figure having 4 angles is called a tetragon , from two Greek words ...
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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 66 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 find the number formed found by multiplying given number given square greatest number hexagon 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 perpendicular proportion protractor quadrilateral radii radius equal ratio regular polygon right angle semi-circumference set intersecting side AC Solid Angles 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.