# Primary Elements of Plane and Solid Geometry: For Schools and Academies

Wilson, Hinkle & Company, 1862 - 98 σελίδες

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### Περιεχόμενα

 INTRODUCTION 9 Triangles 18 Quadrilaterals 26 Of Polygons in General 35 Problems in Construction 49 BOOK II 55 Of Circles 68
 BOOK III 76 Of Parallelopipeds 79 The Prism and the Cylinder 83 Pyramids and Cones 86 The Sphere 92 SUPPLEMENT Sec XVIII Miscellaneous Examples 97 Applications of Algebra 99

### Δημοφιλή αποσπάσματα

Σελίδα 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 42 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 21 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Σελίδα 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Σελίδα 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Σελίδα 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Σελίδα 30 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 69 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...