A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
From inside the book
Results 6-10 of 80
Page 292
... joining the extremities of an arc . 20. A segment is any part of a circle bounded by an arc and its chord . 21. A semicircle is half the circle , or a segment cut off by a diameter . The half circumference is sometimes called the ...
... joining the extremities of an arc . 20. A segment is any part of a circle bounded by an arc and its chord . 21. A semicircle is half the circle , or a segment cut off by a diameter . The half circumference is sometimes called the ...
Page 293
... joining any two opposite angles of a quadrilateral , or of any other right lined figure . 45. Plane figures that have more than four sides are , in general , called poly- gons ; and they receive other particular names , according to the ...
... joining any two opposite angles of a quadrilateral , or of any other right lined figure . 45. Plane figures that have more than four sides are , in general , called poly- gons ; and they receive other particular names , according to the ...
Page 298
... inward opposite angles A or C. For , conceive the side BC to be bisected in the point E , and draw the line AE , producing it till EF be equal to AE ; and join BF . C E B Then , since the two triangles AEC , BEF , 298 GEOMETRY .
... inward opposite angles A or C. For , conceive the side BC to be bisected in the point E , and draw the line AE , producing it till EF be equal to AE ; and join BF . C E B Then , since the two triangles AEC , BEF , 298 GEOMETRY .
Page 299
... join CE , and hence ( th . 6 ) the angle CED ( that is CBD ) is greater than CAD , which is contrary to the hypothesis , and hence cannot be true of the figure respecting waich the hypothesis is made . Hence B cannot but coincide with A ...
... join CE , and hence ( th . 6 ) the angle CED ( that is CBD ) is greater than CAD , which is contrary to the hypothesis , and hence cannot be true of the figure respecting waich the hypothesis is made . Hence B cannot but coincide with A ...
Page 300
... join CD . Then , since BCD is a triangle , the outward angle ADC is greater than the inward opposite angle B ( th . 6 ) . But the angle ACD is equal to the said outward angle ADC , because AD is equal to AC ( th . 3 ) . Consequently ...
... join CD . Then , since BCD is a triangle , the outward angle ADC is greater than the inward opposite angle B ( th . 6 ) . But the angle ACD is equal to the said outward angle ADC , because AD is equal to AC ( th . 3 ) . Consequently ...
Other editions - View all
Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence