Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous Practical ProblemsIvison, Blakeman, Taylor, 1860 - 453 páginas |
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Página 11
... equal angles with that other . The lines forming a right angle are perpendicular to each other . 16. An Acute Angle ... equal to one right angle . 21. Supplements . - Two angles are said to be supple- ments of each other , when their sum ...
... equal angles with that other . The lines forming a right angle are perpendicular to each other . 16. An Acute Angle ... equal to one right angle . 21. Supplements . - Two angles are said to be supple- ments of each other , when their sum ...
Página 14
... equal . 47. Similar Figures have equal angles , and the same number of sides . Polygons may be similar without being equal ; that is , the angles and the number of sides may be equal , and the length of the sides and the size of the ...
... equal . 47. Similar Figures have equal angles , and the same number of sides . Polygons may be similar without being equal ; that is , the angles and the number of sides may be equal , and the length of the sides and the size of the ...
Página 15
... equal , as are also all the radii . 52. An Arc of a circle is any portion of the circum- ference . 53. An angle having its vertex at the center of a circle is measured by the arc intercepted by its sides . Thus , the arc AB measures the ...
... equal , as are also all the radii . 52. An Arc of a circle is any portion of the circum- ference . 53. An angle having its vertex at the center of a circle is measured by the arc intercepted by its sides . Thus , the arc AB measures the ...
Página 17
With Numerous Practical Problems Horatio Nelson Robinson. AXIOMS . 1. Things which are equal to the same thing are equal to each other . 2. When equals are added to equals the wholes are equal . 3. When equals are taken from equals the ...
With Numerous Practical Problems Horatio Nelson Robinson. AXIOMS . 1. Things which are equal to the same thing are equal to each other . 2. When equals are added to equals the wholes are equal . 3. When equals are taken from equals the ...
Página 19
... equal to two right angles . Let AB meet CD , and if AB is perpen- dicular to CD , it does not incline to either extremity of CD . In that case , the angle ABD is equal to the angle ABC , and is c a right angle , by Definition 15 . E A B ...
... equal to two right angles . Let AB meet CD , and if AB is perpen- dicular to CD , it does not incline to either extremity of CD . In that case , the angle ABD is equal to the angle ABC , and is c a right angle , by Definition 15 . E A B ...
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Términos y frases comunes
AB² 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 angle 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 triedral angles 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.