Plane Geometry

Forside
Silver, Burdett, 1896 - 253 sider
 

Utvalgte sider

Andre utgaver - Vis alle

Vanlige uttrykk og setninger

Populære avsnitt

Side 60 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Side 219 - ... 4. Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Side 139 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Side 44 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Side 43 - 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.
Side 217 - Show that the areas of similar triangles are to each other as the squares of the homologous sides.
Side 89 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Side 107 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Side 218 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side 218 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

Bibliografisk informasjon