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Inhoudsopgave

 General Principles 9 BOOK II 35 BOOK III 44 BOOK IV 57 BOOK V 83 Regular Polygons and the Area of the Circle 98
 SOLID GEOMETRY 112 BOOK IX 148 BOOK X 166 CONIC SECTIONS 177 Ellipse 188 Hyperbola 205

Populaire passages

Pagina 17 - 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 will be equal.
Pagina 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Pagina 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Pagina 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Pagina 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Pagina 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Pagina 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Pagina 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Pagina 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Pagina 30 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.