Elementary Geometry: With Applications in MensurationA. S. Barnes & Company, 1850 - 216 Seiten |
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Ergebnisse 1-5 von 19
Seite 13
... perimeter of the polygon . Hence , the perimeter of a polygon is the sum of all its sides . 37. A polygon of three sides is called a triangle . 38. A polygon of four sides is called a quadrilateral . 39. A polygon of five sides is ...
... perimeter of the polygon . Hence , the perimeter of a polygon is the sum of all its sides . 37. A polygon of three sides is called a triangle . 38. A polygon of four sides is called a quadrilateral . 39. A polygon of five sides is ...
Seite 104
... perimeter AB + BC + CD & c . , will be to the perimeter FG + GN + NI & c . , as the diameter AL to the diameter FM . For , draw the two corresponding diagonals AC , FN , as also the lines BL and GM . Then , the two triangles ACB and FNG ...
... perimeter AB + BC + CD & c . , will be to the perimeter FG + GN + NI & c . , as the diameter AL to the diameter FM . For , draw the two corresponding diagonals AC , FN , as also the lines BL and GM . Then , the two triangles ACB and FNG ...
Seite 106
... perimeter will coincide with the circumference . When this takes place , the line CH , drawn perpendicular to one of the sides , will become equal to the radius of the circle . H THEOREM XXIV . The circumferences of circles are to each ...
... perimeter will coincide with the circumference . When this takes place , the line CH , drawn perpendicular to one of the sides , will become equal to the radius of the circle . H THEOREM XXIV . The circumferences of circles are to each ...
Seite 107
... perimeter and the perpendicular let fall from the centre on one of the sides . Let C be the centre of a circle cir- cumscribing the regular polygon , and CD a perpendicular to one of its sides : then will its area be equal to half the ...
... perimeter and the perpendicular let fall from the centre on one of the sides . Let C be the centre of a circle cir- cumscribing the regular polygon , and CD a perpendicular to one of its sides : then will its area be equal to half the ...
Seite 108
... perimeter ( Th . xxvi ) . Let us now suppose the number of sides of the polygons to be increased , until the perimeter shall coincide with the cir- cumference ; the polygon will then become equal to the circle , and the perpendicular CD ...
... perimeter ( Th . xxvi ) . Let us now suppose the number of sides of the polygons to be increased , until the perimeter shall coincide with the cir- cumference ; the polygon will then become equal to the circle , and the perpendicular CD ...
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Häufige Begriffe und Wortgruppen
12 feet ABCD adjacent angles allel altitude angles equal axis base multiplied bisect breadth called centre chains chord circle whose diameter circular sector circumference common cone consequently convex surface cube cylinder decimal dicular divide dodecagon draw entire surface equal altitudes equal Bk equal to half equivalent figure find the area frustum GEOMETRY half the arc half the product hence heptagon homologous sides hypothenuse included angle inscribed intersection length Let ABCD lower base measured by half Mensuration of Surfaces nonagon number of sides opposite angles outward angle parallelogram parallelopipedon pendicular pentagon perimeter perpen perpendicular plane prism PROBLEM quadrilateral radii radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment slant height sphere square feet squares described straight line tangent THEOREM three sides trapezoid triangle ABC upper base viii
Beliebte Passagen
Seite 48 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Seite 10 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Seite 58 - BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D.
Seite 12 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Seite 118 - ... cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Seite 112 - 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 162 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
Seite 149 - This pulyedrun may be considered as formed of pyramids, each having for its vertex the centre of the sphere, and for its base one of the faces of the polyedron.
Seite 119 - If a cone be cut by a plane parallel to the base, the section will be a circle.