Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 Seiten |
Im Buch
Ergebnisse 1-5 von 77
Seite 55
... CIRCUMFERENCE or PERIPHERY of a circle is its entire bounding line ; or it is a curved line , all points of which ... circumference ; as the line CA , CD , or CB . 155. A DIAMETER of a circle is any straight line drawn through the center ...
... CIRCUMFERENCE or PERIPHERY of a circle is its entire bounding line ; or it is a curved line , all points of which ... circumference ; as the line CA , CD , or CB . 155. A DIAMETER of a circle is any straight line drawn through the center ...
Seite 56
... circumference in but one point ; as the line CD . The point of meeting is called the POINT OF CONTACT ; as the point ... circumference ; as the line AB , or B C. A B 164. An INSCRIBED ANGLE is one which has its vertex in the ...
... circumference in but one point ; as the line CD . The point of meeting is called the POINT OF CONTACT ; as the point ... circumference ; as the line AB , or B C. A B 164. An INSCRIBED ANGLE is one which has its vertex in the ...
Seite 57
... circumference of the circle ; as the triangle ABC . C B 166. The circle is then said to be CIRCUMSCRIBED about the polygon . 167. A POLYGON is CIRCUMSCRIBED about a circle when all its sides are E tangents to the circumference ; as the ...
... circumference of the circle ; as the triangle ABC . C B 166. The circle is then said to be CIRCUMSCRIBED about the polygon . 167. A POLYGON is CIRCUMSCRIBED about a circle when all its sides are E tangents to the circumference ; as the ...
Seite 58
... circumference , and the included seg- ment is a semicircle . PROPOSITION II . THEOREM . - 172. A straight line cannot meet the circumference of a circle in more than two points . For , if a straight line could meet the circumference ABD ...
... circumference , and the included seg- ment is a semicircle . PROPOSITION II . THEOREM . - 172. A straight line cannot meet the circumference of a circle in more than two points . For , if a straight line could meet the circumference ABD ...
Seite 60
... circumference . If they were greater , the contrary would be true ; in which case , as the arcs in- creased , the chords would diminish , and conversely . PROPOSITION V. - THEOREM . 176. In the same circle , or in equal circles , radii ...
... circumference . If they were greater , the contrary would be true ; in which case , as the arcs in- creased , the chords would diminish , and conversely . PROPOSITION V. - THEOREM . 176. In the same circle , or in equal circles , radii ...
Andere Ausgaben - Alle anzeigen
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.