Elements of Geometry and Conic Sections

Εξώφυλλο
Harper & brothers, 1860 - 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 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
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 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 20 - therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides, DB, BC are equal to the two AC, CB, each to each ; and the angle DBC is equal to...
Σελίδα 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.
Σελίδα 148 - It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle...
Σελίδα 14 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Σελίδα 152 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.

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