A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well as Private Tuition, Τόμος 1Samuel Campbell, Evert Duyckinck, T. & J. Swords, Peter A. Mesier, R. M'Dermut, Thomas A. Ronalds, John Tiebout, and George Long, 1818 - 558 σελίδες |
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Σελίδα 279
... base . 55. In a right - angled triangle , the side op- posite the right angle is called the Hypothe- nuse ; and the other two sides are called the Legs , and sometimes the Base and Perpendi- cular . 56. When an angle is denoted by three ...
... base . 55. In a right - angled triangle , the side op- posite the right angle is called the Hypothe- nuse ; and the other two sides are called the Legs , and sometimes the Base and Perpendi- cular . 56. When an angle is denoted by three ...
Σελίδα 283
... base , and is also perpendicu lar to it . Corol . 2. Hence too it appears , that every equilateral tri- angle , is also equiangular , or has all its angles equal . THEOREM IV . WHEN a Triangle has Two of its Angles equal , the Sides ...
... base , and is also perpendicu lar to it . Corol . 2. Hence too it appears , that every equilateral tri- angle , is also equiangular , or has all its angles equal . THEOREM IV . WHEN a Triangle has Two of its Angles equal , the Sides ...
Σελίδα 294
... ( th . 12 ) . Q. E. D. THEOREM XXV . PARALLELOGRAMS , as also Triangles , standing on the Same Base , and between the Same Parallels , are equal to each other . Let Let ABCD , ABEF , be two parallelo- grams , 294 GEOMETRY .
... ( th . 12 ) . Q. E. D. THEOREM XXV . PARALLELOGRAMS , as also Triangles , standing on the Same Base , and between the Same Parallels , are equal to each other . Let Let ABCD , ABEF , be two parallelo- grams , 294 GEOMETRY .
Σελίδα 295
... base AB , and be- tween the same parallels , are equal , being the halves of the said equal parallelograms ( th . 22 ) . Q. E. D. Corol . 1. Parallelograms , or triangles , having the same base and altitude , are equal . For the ...
... base AB , and be- tween the same parallels , are equal , being the halves of the said equal parallelograms ( th . 22 ) . Q. E. D. Corol . 1. Parallelograms , or triangles , having the same base and altitude , are equal . For the ...
Σελίδα 296
... base and altitude , because the altitude is the perpendi- cular distance between the parallels , which is every where equal , by the definition of parallels . Corol . 2. If the base of a parallelogram be half that of a triangle , of the ...
... base and altitude , because the altitude is the perpendi- cular distance between the parallels , which is every where equal , by the definition of parallels . Corol . 2. If the base of a parallelogram be half that of a triangle , of the ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth ca² CD² centre chord ciphers circle circumference common cone consequently cube root curve DE² decimal denominator denotes diameter difference distance divide dividend division divisor draw equal equation equiangular EXAMPLES feet figure fraction frustum geometrical geometrical progression given number gives greater half Hence improper fraction inches length logarithm manner measure multiply number of terms ordinates parabola parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce remainder right angles right line rule Scholium side AC sine square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 2 - The sum of the three angles of any triangle is equal to two right angles, this is a . Theorem, the truth of which is demonstrated by Geometry.
Σελίδα 410 - 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 251 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 25 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Σελίδα 220 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Σελίδα 306 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 55 - 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 257 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Σελίδα 347 - The measure of any angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Σελίδα 221 - RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other...