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 1-5 of 43
Page 292
... radii drawn to its extremities . 23. A quadrant , or quarter of a circle , is a sector having a quarter of the circumference for its arc , and its two radii are perpendicular to each other . A quarter of the circum- ference is sometimes ...
... radii drawn to its extremities . 23. A quadrant , or quarter of a circle , is a sector having a quarter of the circumference for its arc , and its two radii are perpendicular to each other . A quarter of the circum- ference is sometimes ...
Page 313
... radii CA , CB . Then the two triangles ACD , BCD , having CA equal to CB ( def . 44 ) , and CD common , also AD equal to DB ( hyp . ) ; they have all the three sides of the one , equal to all the three sides of the other , and so have ...
... radii CA , CB . Then the two triangles ACD , BCD , having CA equal to CB ( def . 44 ) , and CD common , also AD equal to DB ( hyp . ) ; they have all the three sides of the one , equal to all the three sides of the other , and so have ...
Page 314
... radii . THEOREM XLIII . If two circles placed one within another , touch , the centres of the circle and the point of contact will be all in the same right line . LET the two circles ABC , ADE , touch one another inter- nally in the ...
... radii . THEOREM XLIII . If two circles placed one within another , touch , the centres of the circle and the point of contact will be all in the same right line . LET the two circles ABC , ADE , touch one another inter- nally in the ...
Page 315
... radii GA , GC , and the two perpendiculars GE , GF , which are the equal distances from the centre G. Then the two right - angled triangles , GAE , GCF , have the side GA equal the side GC , and the side GE equal the side GF , and the ...
... radii GA , GC , and the two perpendiculars GE , GF , which are the equal distances from the centre G. Then the two right - angled triangles , GAE , GCF , have the side GA equal the side GC , and the side GE equal the side GF , and the ...
Page 320
... radii DH , FH , GH , are all equal , the line EG is equal to the sum of the sides DH , HE ; and EF is equal to their difference . D IXE But the rectangle of the sum and difference of the two sides of a triangle is equal to the rectangle ...
... radii DH , FH , GH , are all equal , the line EG is equal to the sum of the sides DH , HE ; and EF is equal to their difference . D IXE But the rectangle of the sum and difference of the two sides of a triangle is equal to the rectangle ...
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