Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 89
Page 14
... perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the adjacent angles unequal . B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ...
... perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the adjacent angles unequal . B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ...
Page 19
... perpendicular may be drawn to a given straight line , either from a point without , or from a point on the line . 7. A straight line may be drawn , making with a given straight line an angle equal to a given angle . 8. A straight line ...
... perpendicular may be drawn to a given straight line , either from a point without , or from a point on the line . 7. A straight line may be drawn , making with a given straight line an angle equal to a given angle . 8. A straight line ...
Page 22
... perpendicular to another AB , then will the second line AB be perpendicular to the first DE and DCB are right angles , by For , the angles DCA definition ( D. 12 ) ; and from what has just been proved , the angles ACE and BCE are also ...
... perpendicular to another AB , then will the second line AB be perpendicular to the first DE and DCB are right angles , by For , the angles DCA definition ( D. 12 ) ; and from what has just been proved , the angles ACE and BCE are also ...
Page 23
... perpendicular to each other , the sum of the angles which they form will be equal to four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right ...
... perpendicular to each other , the sum of the angles which they form will be equal to four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right ...
Page 31
... perpendicular to the base . PROPOSITION XII . THEOREM . If two angles of a triangle are equal , the sides opposite to them are also equal , and consequently , the triangle is isos- celes . In the triangle ABC , let the angle ABC be ...
... perpendicular to the base . PROPOSITION XII . THEOREM . If two angles of a triangle are equal , the sides opposite to them are also equal , and consequently , the triangle is isos- celes . In the triangle ABC , let the angle ABC be ...
Other editions - View all
Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence