Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 9
... called oblique angles . 17. PARALLEL LINES are such as , being in the same plane , cannot meet , however far either way both of them may be produced ; as the lines A B , CD . 18. When a straight line , as EF , intersects two parallel ...
... called oblique angles . 17. PARALLEL LINES are such as , being in the same plane , cannot meet , however far either way both of them may be produced ; as the lines A B , CD . 18. When a straight line , as EF , intersects two parallel ...
Página 10
... called its perimeter . 20. When the boundary lines are straight , the space they enclose is called a RECTILINEAL FIGURE , or POLYGON ; as the figure ABCDE . E A D B 21. A polygon of three sides is called a TRIANGLE ; one of four sides ...
... called its perimeter . 20. When the boundary lines are straight , the space they enclose is called a RECTILINEAL FIGURE , or POLYGON ; as the figure ABCDE . E A D B 21. A polygon of three sides is called a TRIANGLE ; one of four sides ...
Página 11
... called the hy- pothenuse ; as the side J L. 24. An ACUTE - ANGLED TRIANGLE is one which has three acute angles ; as ... called oblique - angled triangles . 25. A PARALLELOGRAM is a quadrilateral which has its opposite sides parallel . 26 ...
... called the hy- pothenuse ; as the side J L. 24. An ACUTE - ANGLED TRIANGLE is one which has three acute angles ; as ... called oblique - angled triangles . 25. A PARALLELOGRAM is a quadrilateral which has its opposite sides parallel . 26 ...
Página 13
... called homologous sides or angles . AXIOMS . 34. An AXIOM is a self - evident truth ; such as , - 1. Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the sums will be equal . 3. If ...
... called homologous sides or angles . AXIOMS . 34. An AXIOM is a self - evident truth ; such as , - 1. Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the sums will be equal . 3. If ...
Página 38
... polygons with salient angles , or with angles directed outwards , and which may be called convex polygons . Every convex polygon is such that a straight line , however drawn , cannot meet the perimeter 38 ELEMENTS OF GEOMETRY .
... polygons with salient angles , or with angles directed outwards , and which may be called convex polygons . Every convex polygon is such that a straight line , however drawn , cannot meet the perimeter 38 ELEMENTS OF GEOMETRY .
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Términos y frases comunes
A B C ABCD adjacent angles altitude angle ACB angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed interior angles isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon Required the area right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Pasajes populares
Página 28 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 37 - 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.
Página 79 - Two rectangles having equal altitudes are to each other as their bases.
Página 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Página 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Página 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Página 168 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Página 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Página 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.