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, 1816 |
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Αποτελέσματα 1 - 5 από τα 95.
Σελίδα 283
... Corol . 1. Hence the line which bisects the verticle angle of an isosceles triangle , bisects the base , and is also perpendi- cular 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 perpendi- cular 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 CB and BD form one continued ... Corol Corol . 2. Hence , all the angles which can 284 GEOMETRY .
... 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 CB and BD form one continued ... Corol Corol . 2. Hence , all the angles which can 284 GEOMETRY .
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 ac² altitude arithmetical arithmetical progression axis base bisected CA² CD² centre chord circle circumference common compound cone consequently cube root cubic equation cylinder decimal denominator denotes diameter difference distance divide dividend divisor draw equal angles equal th equation equiangular equilateral EXAMPLES feet figure fraction frustum geometrical progression given number gives greater Hence improper fraction inches infinite series inscribed length Let ABC logarithm manner measured by half multiply ordinates parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radii radius ratio rectangle Reduce right angles right line right-angled triangle rule side AC sine square root subtract surd tangent theor theref transposing triangle ABC VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 6 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Σελίδα 285 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Σελίδα 438 - 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 187 - 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 202 - Subtract its power from that term, and bring down the second term for a dividend. 3. Involve the root, last found, to the next lowest -power, and multiply it by the index of the given power for a divisor.
Σελίδα 290 - A perpendicular is the shortest line that can be drawn from a given point to a given line.
Σελίδα 86 - Then say, by the rule of three, as the sum of the given number and double the assumed cube is to the sum of the assumed cube and double the given number, so is the root of the assumed cube to the root required, nearly ; Or as the first sum is to the difference of the given and assumed...
Σελίδα 398 - Two ships of war, intending to cannonade a fort, are, by the shallowness of the water, kept so far from it, that they suspect their guns cannot reach it with effect. In order, therefore, to measure the distance, they separate from each other a quarter of a mile, or 440 yards ; then each ship observes and measures the angle which the other ship and the fort subtend, which angles are 83° 45
Σελίδα 355 - B draw chords BA, BC, to the two other points, and bisect these chords perpendicularly by lines meeting in O, which will be the centre. Then from the centre O, at the distance of any one of the points, as ( ) A, describe a circle, and it will pass through the two other points B, C, as required.
Σελίδα 56 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.