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 283
... Corol . 1. Hence the line which bisects the verticle angle of an isosceles triangle , bisects the base , and is also perpendicu lar to it . Corol . 2. Hence too it appears , that every equilateral tri- angle , is also equiangular , or ...
... Corol . 1. Hence the line which bisects the verticle angle of an isosceles triangle , bisects the base , and is also perpendicu lar to it . Corol . 2. Hence too it appears , that every equilateral tri- angle , is also equiangular , or ...
Σελίδα 284
... Corol . 1. Hence also , conversely , if the two angles ABC , ABD , on both sides of the line AB , make up together two right angles , then cв and BD form one continued right line co . Corol . Corol . 2. Hence , all the angles which can ...
... Corol . 1. Hence also , conversely , if the two angles ABC , ABD , on both sides of the line AB , make up together two right angles , then cв and BD form one continued right line co . Corol . Corol . 2. Hence , all the angles which can ...
Σελίδα 285
... Corol . 2. Hence , all the angles which can be made , at any point B , by any number of lines , on the same side of the right line CD , are , when taken all together , equal to two right angles . Corol . 3. And , as all the angles that ...
... Corol . 2. Hence , all the angles which can be made , at any point B , by any number of lines , on the same side of the right line CD , are , when taken all together , equal to two right angles . Corol . 3. And , as all the angles that ...
Σελίδα 287
... Corol . The shortest distance between two points , is a single right line drawn from the one point to the other . THEOREM XI .. THE Difference of any Two Sides of a Triangle , is Less than the Third Side . Let ABC be a triangle ; then ...
... Corol . The shortest distance between two points , is a single right line drawn from the one point to the other . THEOREM XI .. THE Difference of any Two Sides of a Triangle , is Less than the Third Side . Let ABC be a triangle ; then ...
Σελίδα 288
... Corol . Right lines which are perpendicular to one , of two parallel lines , are also perpendicular to the other . THEOREM XIII . WHEN a line , cutting Two other Lines , makes the Al- ternate Angles Equal to each other , those two Lines ...
... Corol . Right lines which are perpendicular to one , of two parallel lines , are also perpendicular to the other . THEOREM XIII . WHEN a line , cutting Two other Lines , makes the Al- ternate Angles Equal to each other , those two Lines ...
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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...