Elementary Geometry: With Applications in MensurationA. S. Barnes & Company, 1850 - 216 Seiten |
Im Buch
Ergebnisse 1-5 von 48
Seite 70
... example , 3 : 6 :: 6 : 12 ; and 6 is a mean proportional between 3 and 12 . 5. Quantities are said to be in proportion by inversion , or inversely , when the consequents are made the antecedents and the antecedents the consequents ...
... example , 3 : 6 :: 6 : 12 ; and 6 is a mean proportional between 3 and 12 . 5. Quantities are said to be in proportion by inversion , or inversely , when the consequents are made the antecedents and the antecedents the consequents ...
Seite 142
... example . Di- vide AE into 15 equal parts , whereof AI will contain 8 ; and through x , y , z , & c . , the points of division , draw planes E H K M D Of Parallelopipedons . These planes into 15 partial parallel to 142 GEOMETRY .
... example . Di- vide AE into 15 equal parts , whereof AI will contain 8 ; and through x , y , z , & c . , the points of division , draw planes E H K M D Of Parallelopipedons . These planes into 15 partial parallel to 142 GEOMETRY .
Seite 146
... example . Let ABCD be the base of a parallelopipedon , and suppose AB 4 feet , and BC - 3 feet . Then the number of square feet in the base ABCD will be equal to 3 × 4 12 square feet . Therefore , 12 equal cubes of 1 foot each , may be ...
... example . Let ABCD be the base of a parallelopipedon , and suppose AB 4 feet , and BC - 3 feet . Then the number of square feet in the base ABCD will be equal to 3 × 4 12 square feet . Therefore , 12 equal cubes of 1 foot each , may be ...
Seite 167
... and the product will be the area ( Bk . IV . Th . viii ) . EXAMPLES . 1. Required the area of the square ABCD , each of whose sides is 36 feet . D Mensuration of Surfaces . We multiply two sides of the OF GEOMETRY . 167.
... and the product will be the area ( Bk . IV . Th . viii ) . EXAMPLES . 1. Required the area of the square ABCD , each of whose sides is 36 feet . D Mensuration of Surfaces . We multiply two sides of the OF GEOMETRY . 167.
Seite 169
... EXAMPLES . 1. Required the area of the triangle 4BC , whose base AB is 10,75 feet , ind altitude 7,25 feet . C Mensuration of Surfaces . Operation . We first multiply the 15 OF GEOMETRY . 169 General Principles, Area of a Rectangle ...
... EXAMPLES . 1. Required the area of the triangle 4BC , whose base AB is 10,75 feet , ind altitude 7,25 feet . C Mensuration of Surfaces . Operation . We first multiply the 15 OF GEOMETRY . 169 General Principles, Area of a Rectangle ...
Andere Ausgaben - Alle anzeigen
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.