Elements of Geometry: With Practical Applications to Mensuration |
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Page 7
... STRAIGHT LINE , or RIGHT LINE , is one which has the same direction in its whole extent ; as the line AB . A- -B The word line is frequently used alone , to designate a straight line . 6. A. CURVED LINE is one which continually changes ...
... STRAIGHT LINE , or RIGHT LINE , is one which has the same direction in its whole extent ; as the line AB . A- -B The word line is frequently used alone , to designate a straight line . 6. A. CURVED LINE is one which continually changes ...
Page 8
With Practical Applications to Mensuration Benjamin Greenleaf. 7. A BROKEN LINE is one which is composed of straight lines , not lying in the same direction ; as the line EF . E- F 8. A MIXED LINE is one which is composed of straight lines ...
With Practical Applications to Mensuration Benjamin Greenleaf. 7. A BROKEN LINE is one which is composed of straight lines , not lying in the same direction ; as the line EF . E- F 8. A MIXED LINE is one which is composed of straight lines ...
Page 9
... straight line and a perpendicular to it ; as the angle CAB . 16. An ACUTE ANGLE is one which is less than a right ... straight line , as EF , intersects two parallel lines , as AB , CD , the angles formed A by the intersecting or secant ...
... straight line and a perpendicular to it ; as the angle CAB . 16. An ACUTE ANGLE is one which is less than a right ... straight line , as EF , intersects two parallel lines , as AB , CD , the angles formed A by the intersecting or secant ...
Page 10
... line ; as the angles BGE , DHF , and also the angles AGE , CHF . H F D ALTERNATE INTERIOR ANGLES lie within the ... straight lines or curves . The boundary of any figure is called its perimeter . 20. When the boundary lines are straight ...
... line ; as the angles BGE , DHF , and also the angles AGE , CHF . H F D ALTERNATE INTERIOR ANGLES lie within the ... straight lines or curves . The boundary of any figure is called its perimeter . 20. When the boundary lines are straight ...
Page 13
... straight line is the shortest line that can be drawn from one point to another . 11. From one point to another only one straight line can be drawn . 12. Through the same point only one parallel to a straight line can be drawn . 13. All ...
... straight line is the shortest line that can be drawn from one point to another . 11. From one point to another only one straight line can be drawn . 12. Through the same point only one parallel to a straight line can be drawn . 13. All ...
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Common terms and phrases
A B C ABCD adjacent angles altitude angle equal base bisect 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 formulæ frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN 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
Popular passages
Page 59 - 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.
Page 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.
Page 120 - At a point in a given straight line to make an angle equal to a given angle.
Page 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.
Page 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Page 199 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Page 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Page 2 - 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.
Page 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.