# A Course of Mathematics for the Use of Academies: As Well as Private Tuition, Volum 1

S. Campbell, 1825

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### Innhold

 OF WOI UIME 1 Poman Notation 11 Division º 18 Compound Addition 32 Multiplication 38 Golden Rule or Rule of Three 44 Vulgar Fractions 52 Subtraction of Vulgar Fractions 62
 4ddition 180 GEOMETRY 275 AriomsTheorems 281 Of Ratios and Proportions 319 Of Planes and SolidsDefinitions 336 Problems 353 Applications of 4lgebra to Geometry 369 Plane Trigonometry 77 377

 Subtraction of Decimals 68 Rule of Three in Decimals 76 To extract the Cube Root 85 Ratios Proportions and Progressions 110 Geometrical Progression 116 Double Fellowship 122 Alligation Medial 129 Single Position 135 Permutations and Combinations 141 Practical Questions 150 To compute Logarithms 159 Multiplication by Logarithms 167
 Heights and Distances 393 Mensuration of Planes 402 Mensuration of Solids 419 Land Surveying 429 Artificers Work 458 Timber Measuring 466 Of the Hyperbola 491 Of the Parabola 514 of the Conic Sections as expressed by Algebraic equations called 532 Problems relative to the Division of Surfaces 558 Construction of Geometrical Problems 571

### Populære avsnitt

Side 2 - Thus, when it is said that, 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.
Side 4 - 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...
Side ii - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
Side 298 - If a straight line be divided into any two parts, the square on the whole line is...
Side 440 - 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.
Side 287 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Side 312 - The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment.
Side 287 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Side 281 - If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Side 400 - 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