A Course of Mathematics, Volume 1Longman, Rees, 1836 - Mathematics |
From inside the book
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Page 2
... angles of a plane triangle is equal to two right angles , that is a Theorem , the truth of which is demonstrated by Geometry . - A set or col- lection of such Theorems constitutes a Theory . 7. A Problem is a proposition or a question ...
... angles of a plane triangle is equal to two right angles , that is a Theorem , the truth of which is demonstrated by Geometry . - A set or col- lection of such Theorems constitutes a Theory . 7. A Problem is a proposition or a question ...
Page 289
... angles , it is either right - angled , obtuse - angled , or acute - angled . 33. A Right - angled Triangle is that which has one right angle . All other triangles are oblique - angled , and are either obtuse or acute . 34. An Obtuse - ...
... angles , it is either right - angled , obtuse - angled , or acute - angled . 33. A Right - angled Triangle is that which has one right angle . All other triangles are oblique - angled , and are either obtuse or acute . 34. An Obtuse - ...
Page 290
... right - angled triangle , the side opposite the right angle is called the ... angles DAE and EAC . 59. For the purpose of calculation the circumference of ... right line on which the Greater Perpendicular falls , is said to be farther ...
... right - angled triangle , the side opposite the right angle is called the ... angles DAE and EAC . 59. For the purpose of calculation the circumference of ... right line on which the Greater Perpendicular falls , is said to be farther ...
Page 291
... right - lined figure is Inscribed in a circle , or the circle Circumscribes it , when all the angular points of the ... angles of the one are respectively equal to those of the other . 71. Identical figures , are such as are both mutually ...
... right - lined figure is Inscribed in a circle , or the circle Circumscribes it , when all the angular points of the ... angles of the one are respectively equal to those of the other . 71. Identical figures , are such as are both mutually ...
Page 292
... right angles are equal to one another . 11. Angles that have equal measures , or arcs , are equal . THEOREM I. * IF two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other ...
... right angles are equal to one another . 11. Angles that have equal measures , or arcs , are equal . THEOREM I. * IF two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other ...
Common terms and phrases
AB² ABCD Algebra altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients contained Corol cube root decimal denominator denote diagonal diameter distance divide dividend division divisor draw drawn equal equation equiangular EXAMPLES expression feet figure fraction frustum geometrical geometrical progression given number gives greater half height Hence improper fraction inches infinite series integer intersect length less logarithms measure method multiply number of terms parallel parallelogram perpendicular plane polygon PROBLEM proportional Q. E. D. THEOREM quadratic equation QUEST quotient radius ratio rectangle Reduce remainder right angles right-angled triangle rule segment sides sine solid angle square root straight line subtract surd tangent third triangle ABC u₁ VULGAR FRACTIONS yards