An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-booksJames Munroe, 1846 - 161 páginas |
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Página xi
... angles according to the nature of their sides , 103. When angles are equal , 104. Adjacent and vertical angles ... exterior angle of a triangle , 125. Value of the three exterior angles of a triangle , 126 . 127 . } Cases of equal ...
... angles according to the nature of their sides , 103. When angles are equal , 104. Adjacent and vertical angles ... exterior angle of a triangle , 125. Value of the three exterior angles of a triangle , 126 . 127 . } Cases of equal ...
Página xii
... angles of a quadrilateral , • 146. A parallelogram divided by a diagonal into 2 equal triangles , 147. In a ... exterior angles of a polygon , 90 . 91 91 • 91 220 92 92 94 95 95 96 . 96 96 97 158. Table of the size of angles in a regular ...
... angles of a quadrilateral , • 146. A parallelogram divided by a diagonal into 2 equal triangles , 147. In a ... exterior angles of a polygon , 90 . 91 91 • 91 220 92 92 94 95 95 96 . 96 96 97 158. Table of the size of angles in a regular ...
Página 46
... Angles . Triangular pyramid has quadrangular pentagonal 66 66 4 + 1 5 3 + 1 = 4 = ፡፡ 66 decagonal 66 66 5 + 1 6 10 + 1 = 11 46. We will now find by calculation the number of lines and angles in the regular solids . I. Lines . 1. Exterior ...
... Angles . Triangular pyramid has quadrangular pentagonal 66 66 4 + 1 5 3 + 1 = 4 = ፡፡ 66 decagonal 66 66 5 + 1 6 10 + 1 = 11 46. We will now find by calculation the number of lines and angles in the regular solids . I. Lines . 1. Exterior ...
Página 54
... exterior parallels , with a radius equal to the distance between the first ... exterior arcs IK , KH , ' HG , and GI , is formed a connected figure called an ellipse ... ANGLES . 59. Before proceeding to the construction 54 CONSTRUCTION .
... exterior parallels , with a radius equal to the distance between the first ... exterior arcs IK , KH , ' HG , and GI , is formed a connected figure called an ellipse ... ANGLES . 59. Before proceeding to the construction 54 CONSTRUCTION .
Página 76
... exterior angles upon the same side . A and E , B and F , G and C , H and D , are external internal angles , because one is without and the other within the parallels , and both are on the same side of the single line . We have also many ...
... exterior angles upon the same side . A and E , B and F , G and C , H and D , are external internal angles , because one is without and the other within the parallels , and both are on the same side of the single line . We have also many ...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ... Vista completa - 1857 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.