Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous Practical ProblemsIvison, Blakeman, Taylor, 1860 - 453 páginas |
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Página 11
... Vertex or Apex of an angle is the point in which the including lines meet . 19. An angle is commonly designated by a letter at its vertex ; but when two or more angles have their vertices at the same point , they cannot be thus ...
... Vertex or Apex of an angle is the point in which the including lines meet . 19. An angle is commonly designated by a letter at its vertex ; but when two or more angles have their vertices at the same point , they cannot be thus ...
Página 14
... vertices of angles not ad- jacent . 42. The Perimeter of a polygon is its boundary consid ered as a whole . 43. The Base of a polygon is the side upon which the polygon is supposed to stand . 44. The Altitude of a polygon is the ...
... vertices of angles not ad- jacent . 42. The Perimeter of a polygon is its boundary consid ered as a whole . 43. The Base of a polygon is the side upon which the polygon is supposed to stand . 44. The Altitude of a polygon is the ...
Página 15
... vertex at the center of a circle is measured by the arc intercepted by its sides . Thus , the arc AB measures the ... vertices of the angles . UNITS OF MEASURE . 54. The Numerical Expression of a Magnitude is a number expressing how many ...
... vertex at the center of a circle is measured by the arc intercepted by its sides . Thus , the arc AB measures the ... vertices of the angles . UNITS OF MEASURE . 54. The Numerical Expression of a Magnitude is a number expressing how many ...
Página 25
... vertex C draw a line parallel to the base AB , and produce the sides AC and BC . Then the angles A and a , being exterior and in- terior opposite angles on = α D B c , the same side of the line AC , are equal to each other . For the ...
... vertex C draw a line parallel to the base AB , and produce the sides AC and BC . Then the angles A and a , being exterior and in- terior opposite angles on = α D B c , the same side of the line AC , are equal to each other . For the ...
Página 27
... vertex C draw a line parallel to the base AB , and produce the sides AC and BC . Then the angles A and a , being exterior and in- terior opposite angles on D equal to each other . The angles C and c , the same side of the line AC , are ...
... vertex C draw a line parallel to the base AB , and produce the sides AC and BC . Then the angles A and a , being exterior and in- terior opposite angles on D equal to each other . The angles C and c , the same side of the line AC , are ...
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Términos y frases comunes
ABCD altitude angle opposite axis bisected chord circle circumference circumscribed common cone convex surface cos.a cos.b cos.c Cosine Cotang diagonal diameter dicular difference distance divided draw equal angles equation equiangular equivalent find the angles formulæ four magnitudes frustum given line greater half Hence the theorem homologous hypotenuse included angle inscribed intersect isosceles less Let ABC logarithm measured multiplied N.sine number of sides opposite angles parallelogram parallelopipedon pendicular perpen perpendicular plane ST polyedron PROBLEM produced Prop proportion PROPOSITION prove pyramid quadrantal radii radius rectangle regular polygon right angles right-angled spherical triangle right-angled triangle SCHOLIUM secant segment similar sin.a sin.b sin.c sine solid angles sphere SPHERICAL TRIGONOMETRY straight line subtracting Tang tangent three angles three sides triangle ABC triangular prisms TRIGONOMETRY vertex vertical angle volume
Pasajes populares
Página 320 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 65 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Página 121 - In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF.
Página 56 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Página 34 - Conversely: if two angles of a triangle are equal, the sides opposite to them are equal, and the triangle it itosceles.
Página 126 - To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c.
Página 22 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Página 277 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 94 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.