A general view of the sciences and arts, Volum 1 |
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Resultat 1-5 av 40
Side 21
... whole is equal to all its parts taken to- gether . Magnitudes which coincide , or fill the same space , are equal to one another . The justness and accuracy of some of the foregoing definitions have been disputed , and others proposed ...
... whole is equal to all its parts taken to- gether . Magnitudes which coincide , or fill the same space , are equal to one another . The justness and accuracy of some of the foregoing definitions have been disputed , and others proposed ...
Side 23
... whole structure of his science is raised upon the strong basis of self - evident truths and demonstration . Propositions , or things proposed to be done or demonstrated , are divided into theorems and problems . A theorem is a ...
... whole structure of his science is raised upon the strong basis of self - evident truths and demonstration . Propositions , or things proposed to be done or demonstrated , are divided into theorems and problems . A theorem is a ...
Side 25
... on the same side of a right line , CD , are equal to two right angles ; because every whole is equal to the sum of all its parts . VOL . I D Secondly , that all the angles about any point as THE SCIENCES AND ARTS . 25.
... on the same side of a right line , CD , are equal to two right angles ; because every whole is equal to the sum of all its parts . VOL . I D Secondly , that all the angles about any point as THE SCIENCES AND ARTS . 25.
Side 26
... ; that is , equal to CBD , since every whole is equal to the sum of its parts . COROLLARY . Hence , it follows that the external angle of a triangle is greater than either of the internal , opposite 10 26 A GENERAL VIEW OF.
... ; that is , equal to CBD , since every whole is equal to the sum of its parts . COROLLARY . Hence , it follows that the external angle of a triangle is greater than either of the internal , opposite 10 26 A GENERAL VIEW OF.
Side 33
... whole circumference . It also follows , that arches of a circle may be employed as measures of angles ; and thus the comparison of angles , is reduced to the comparison of arches of a circle . From this principle , flow those ...
... whole circumference . It also follows , that arches of a circle may be employed as measures of angles ; and thus the comparison of angles , is reduced to the comparison of arches of a circle . From this principle , flow those ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 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.
Side 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.
Side 55 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Side 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.
Side 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.
Side 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.