A general view of the sciences and arts, Τόμος 1 |
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Σελίδα 40
... pole of a great circle of the sphere is a point in the superficies of the sphere , from which all straight lines drawn to the circum- ference of the circle are equal . 3. A spherical angle is that which , on the superficies of a sphere ...
... pole of a great circle of the sphere is a point in the superficies of the sphere , from which all straight lines drawn to the circum- ference of the circle are equal . 3. A spherical angle is that which , on the superficies of a sphere ...
Σελίδα 41
... pole of any great circle to the centre of the sphere , is at right angles to the plane of that circle . Corollary 2. The circle has two poles D , D ' , one on each side of its plane : which poles are the extremities of a diameter of the ...
... pole of any great circle to the centre of the sphere , is at right angles to the plane of that circle . Corollary 2. The circle has two poles D , D ' , one on each side of its plane : which poles are the extremities of a diameter of the ...
Σελίδα 42
... poles . டு B Let A CBD , AE BF , be two great circles , the planes of which are at right angles to each other ... poles of the circle ADBC . Corollary 1. If two great circles pass through each others poles , their planes are ...
... poles . டு B Let A CBD , AE BF , be two great circles , the planes of which are at right angles to each other ... poles of the circle ADBC . Corollary 1. If two great circles pass through each others poles , their planes are ...
Σελίδα 43
... pole and the circum- ference of another circle , is a quadrant ? " How is demon- strated the theorem , " Two great circles , whose planes are perpendicular to each other , pass through each others poles ? " CHAP . VII . CONIC SECTIONS ...
... pole and the circum- ference of another circle , is a quadrant ? " How is demon- strated the theorem , " Two great circles , whose planes are perpendicular to each other , pass through each others poles ? " CHAP . VII . CONIC SECTIONS ...
Σελίδα 50
... Pole , Rod , or Perch . 40 Poles = 1 Furlong . 8 Furlongs = 1 Mile . 691 Miles = 1 Degree . Degrees = 3 360 The Earth's Circumf . ན TABLE OF SQUARE MEASURES . 144 Square inches 9 50 A GENERAL VIEW OF Table of Lineal Measures Page.
... Pole , Rod , or Perch . 40 Poles = 1 Furlong . 8 Furlongs = 1 Mile . 691 Miles = 1 Degree . Degrees = 3 360 The Earth's Circumf . ན TABLE OF SQUARE MEASURES . 144 Square inches 9 50 A GENERAL VIEW OF Table of Lineal Measures Page.
Συχνά εμφανιζόμενοι όροι και φράσεις
algebra arch arithmetic astronomy axis body breadth called cask centre CHAP circle circumference column compound cone conic sections contained Corollary cube cyphers decimals definition degrees denomination denotes diameter distance diurnal motion divided dividend division divisor earth ellipse equator Example expressed feet figure fluid four frustum gallons geometrical series geometry given numbers globe gravity greater height horizontal hundred hyperbola hypothenuse idea improper fraction inches instrument integers length logarithms magnitude mathematics Mercury meridian miles mixed mathematics moon motion Multiply opposite angles parabola parallel perpendicular plane triangle plate poles proportion quadrant quantity quotient radius remainder right angles right line rule for finding sailing secant sexagesimal ship sides signifies solid space specific gravity sphere spherical trigonometry square subtract supposed surface tangent telescope term theorem thousand tion TRIGONO trigonometry vertex vertical arc vessel vulgar fractions wheel
Δημοφιλή αποσπάσματα
Σελίδα 60 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 227 - Every body continues in a state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by a force impressed upon it.
Σελίδα 228 - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.
Σελίδα 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 90 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Σελίδα 228 - The change of motion is proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed.
Σελίδα 55 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Σελίδα 157 - It is bounded on the North by the Arctic Ocean ; on the East by the Pacific Ocean ; on the South by the Indian Ocean ; and on the West by the Red Sea, the Mediterranean Sea, the Caspian Sea, and the Oural Mountains.
Σελίδα 97 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Σελίδα 19 - ... 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. 11. An obtuse angle is that which is greater than a right angle. 12. An acute angle is that which is less than a right angle. 13. A term or boundary is the extremity of any thing.