An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part I, Containing Plane Geometry, with Its Application to the Solution of Problems, Del 1Carter, Hendee, 1834 - 190 sider |
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Side 14
... at an equal distance from one and the same point , called the centre . Tangent Radius Sector Drameter Chord ament The curve line itself is called the circumference . Any part of it is called an arc . A straight 14 GEOMETRY .
... at an equal distance from one and the same point , called the centre . Tangent Radius Sector Drameter Chord ament The curve line itself is called the circumference . Any part of it is called an arc . A straight 14 GEOMETRY .
Side 15
... tangent . QUESTIONS ON DEFINITIONS . WHAT is that science called , which treats of the exten- sions of bodies , considered separately from all their other qualities ? What are the extensions of bodies called ? What are the limits or ...
... tangent . QUESTIONS ON DEFINITIONS . WHAT is that science called , which treats of the exten- sions of bodies , considered separately from all their other qualities ? What are the extensions of bodies called ? What are the limits or ...
Side 108
... tangent to the circle . ( See Def . page 15. ) F G A D E Q. But why can the line ED have no other point common with ... tangent , is perpendicular to the tangent . 2. A line drawn through the point of tangent perpen- dicular to the ...
... tangent to the circle . ( See Def . page 15. ) F G A D E Q. But why can the line ED have no other point common with ... tangent , is perpendicular to the tangent . 2. A line drawn through the point of tangent perpen- dicular to the ...
Side 109
... tangent BD and the chord AB , which subtends the arc AB ? A. The angle ACB , at the centre of the circle , is twice as great as the angle y , formed by the tangent BD , and the chord AB . Q. How can you prove this ? A. From the centre ...
... tangent BD and the chord AB , which subtends the arc AB ? A. The angle ACB , at the centre of the circle , is twice as great as the angle y , formed by the tangent BD , and the chord AB . Q. How can you prove this ? A. From the centre ...
Side 110
... tangent BD and the chord AB , may likewise be measured by half the arc AB . Q. What do you mean by saying that half the arc AB measures the angle y ? A. That if the arc AB is given in degrees , minutes , seconds , & c . , the angle y ...
... tangent BD and the chord AB , may likewise be measured by half the arc AB . Q. What do you mean by saying that half the arc AB measures the angle y ? A. That if the arc AB is given in degrees , minutes , seconds , & c . , the angle y ...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1 Francis Joseph Grund Uten tilgangsbegrensning - 1834 |
An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1 Francis Joseph Grund Uten tilgangsbegrensning - 1834 |
An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1 Francis Joseph Grund Uten tilgangsbegrensning - 1832 |
Vanlige uttrykk og setninger
adjacent angles angle ABC angle ACB angle x basis bisected called centre chord circle whose radius circum circumference circumscribed circles consequently degrees DEMON diagonal diameter dividing the product draw the lines equal angles equal sides equal triangles exterior angle feet figure ABCDEF found by multiplying fourth term geometrical proportion given angle given circle given straight line given triangle gles height hypothenuse inches isosceles triangle length let fall line AB line AC line CD line MN mean proportional measures half number of sides parallel lines parallelogram ABCD perpendicular points of division PROBLEM prove quadrilateral radii radius rectangle rectilinear figure regular polygon ABCDEF Remark rhombus right angles right-angled triangle second term Sect semicircle side AB side AC similar triangles smaller SOLUTION subtended tangent third line third term three angles three sides trapezoid triangle ABC triangles are equal Truth vertex
Populære avsnitt
Side 2 - District Clerk's Office. BE IT REMEMBERED, that on the tenth day of August, AD 1829, in the fifty-fourth year of the Independence of the United States of America, JP Dabney, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit...
Side 78 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Side 2 - CLERK'S OFFIcE. BE it remembered, that on the eleventh day of November, AD 1830, in the fiftyfifth year of the Independence of the United States of America, Gray & Bowen, of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit...
Side 136 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Side 121 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 137 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Side 127 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Side 154 - A, with a radius equal to the sum of the radii of the given circles, describe a circle.
Side 90 - ... any two triangles are to each other as the products of their bases by their altitudes.
Side 137 - P is at the center of the circle. II. 18. The sum of the arcs subtending the vertical angles made by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove that the difference of the concave and convex arcs intercepted by the cutting lines, is equal to twice the arc intercepted by the radii.