## Elements of Geometry, Conic Sections, and Plane Trigonometry |

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Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1895 |

Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1873 |

Elements of Geometry, Conic Sections, and Plane Trigonometry Elias Loomis Uten tilgangsbegrensning - 1880 |

### Vanlige uttrykk og setninger

ABCD ABCDEF altitude angle ABC angle ACB angle BAC base bisect centre chord circle circumference cone Conic Sections conjugate conjugate hyperbola Cosine Cotang curve described diagonals diameter directrix distance divided draw ellipse equal to AC equilateral equivalent figure foci frustum given angle given line given point given straight line greater half Hence hyperbola hypothenuse inscribed intersection join latus rectum less Let ABC line drawn logarithm major axis meet multiplied number of sides opposite sides ordinate parabola parallel to BC parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced projection Prop PROPOSITION pyramid quadrant quadrilateral radical axis radii radius ratio rectangle regular polygon right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical square subtangent symmetrical Tang tangent THEOREM transverse axis triangle ABC vertex vertices

### Populære avsnitt

Side 68 - Any two rectangles are to each other as the products of their bases by their altitudes.

Side 35 - 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.

Side 187 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Side 64 - BEC, taken together, are measured by half the circumference ; hence their sum is equal to two right angles.

Side 71 - 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.

Side 23 - 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.

Side 20 - 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.

Side 124 - The area of a circle is equal to the product of its circumference by half the radius.* Let ACDE be a circle whose centre is O and radius OA : then will area OA— ^OAxcirc.

Side 177 - THEOREM. The sum of the sides of a spherical polygon, is less than the circumference of a great circle. Let...

Side 27 - 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.