Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 Seiten |
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Seite 9
... greater than a right angle ; as the angle EFG . F G Acute and obtuse angles have their sides oblique to each other , and are sometimes called oblique angles . 17. PARALLEL LINES are such as , being in the same plane , cannot meet ...
... greater than a right angle ; as the angle EFG . F G Acute and obtuse angles have their sides oblique to each other , and are sometimes called oblique angles . 17. PARALLEL LINES are such as , being in the same plane , cannot meet ...
Seite 13
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. A 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 ...
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. A 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 ...
Seite 20
... greater than the other . Let A B be the greater ; then take D B equal to AC the less , and draw CD . Now , in the two triangles DB C , ABC , we have D B equal to AC by construction , the side BC common , and the angle B equal to the ...
... greater than the other . Let A B be the greater ; then take D B equal to AC the less , and draw CD . Now , in the two triangles DB C , ABC , we have D B equal to AC by construction , the side BC common , and the angle B equal to the ...
Seite 21
... greater side of any triangle is opposite the greater angle . In the triangle CA B , let the angle C be greater than B ; then will the side A B , opposite to C , be greater than A C , opposite to B. Draw the straight line CD , making the ...
... greater side of any triangle is opposite the greater angle . In the triangle CA B , let the angle C be greater than B ; then will the side A B , opposite to C , be greater than A C , opposite to B. Draw the straight line CD , making the ...
Seite 22
... greater angle of any triangle is opposite the greater side . In the triangle CA B , suppose the A side A B to be greater than AC ; then will the angle C , opposite to AB , be greater than the angle B , opposite to A C. For , if the ...
... greater angle of any triangle is opposite the greater side . In the triangle CA B , suppose the A side A B to be greater than AC ; then will the angle C , opposite to AB , be greater than the angle B , opposite to A C. For , if the ...
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Häufige Begriffe und Wortgruppen
A B C ABCD adjacent angles altitude angle ACB angle equal arc A B 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 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 polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon 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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 120 - At a point in a given straight line to make an angle equal to a given angle.
Seite 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.
Seite 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.