Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
From inside the book
Results 1-5 of 55
Page 5
... Third Books ,. BOOK IV . PAGE . 13 20 50 50 59 82 888 Proportions of Figures - Measurement of Areas , 93 Problems relating to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and ...
... Third Books ,. BOOK IV . PAGE . 13 20 50 50 59 82 888 Proportions of Figures - Measurement of Areas , 93 Problems relating to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and ...
Page 10
... third power . The Radical Sign , √ : Thus , A , B , indicate that the square root of A , and the cube root of B , are to be taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a ...
... third power . The Radical Sign , √ : Thus , A , B , indicate that the square root of A , and the cube root of B , are to be taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a ...
Page 26
... third side . Let ABC be a triangle : then will the sum of any two sides , as AB , BC , be greater than the third side For , the distance from A AC . 2 to C , measured on any broken line AB , BC , A is greater than the distance measured ...
... third side . Let ABC be a triangle : then will the sum of any two sides , as AB , BC , be greater than the third side For , the distance from A AC . 2 to C , measured on any broken line AB , BC , A is greater than the distance measured ...
Page 27
... third , and the difference of any two must be less than the third . PROPOSITION VIII . THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be . less than that of the ...
... third , and the difference of any two must be less than the third . PROPOSITION VIII . THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be . less than that of the ...
Page 28
... third sides will be unequal ; and the greater side will belong to the triangle which has the greater included angle . In the triangles BAC and DEF , let AB be equal to DE , AC to DF , and the angle A greater than the an- gle D : then ...
... third sides will be unequal ; and the greater side will belong to the triangle which has the greater included angle . In the triangles BAC and DEF , let AB be equal to DE , AC to DF , and the angle A greater than the an- gle D : then ...
Other editions - View all
Common terms and phrases
ABē ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following