Elements of Geometry and Conic Sections

Εξώφυλλο
Harper, 1861 - 234 σελίδες
 

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Δημοφιλή αποσπάσματα

Σελίδα 30 - 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.
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 22 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 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.
Σελίδα 148 - It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle...
Σελίδα 79 - ACB about the triangle, and produce AD to the circumference in E, and join EC : then because the angle BAD is equal to the angle CAE, and the angle ABD to the angle (21. 3.) AEC, for they are in the same segment : the triangles ABD, AEC, are equiangular to one another : therefore as BA to AD, so is (4.
Σελίδα 65 - ... the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC . the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe the square BDEC (1.

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