Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 99
Page 14
... perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so 88 to make the adjacent angles unequal . D C B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14 ...
... perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so 88 to make the adjacent angles unequal . D C B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14 ...
Page 22
... perpendicular to another AB , then be perpendicular to the first DE and DCB are right angles , by from what has just been proved , the angles ACE and ВСЕ are also right angles . Hence , the two lines ale mutually perpendicular to each ...
... perpendicular to another AB , then be perpendicular to the first DE and DCB are right angles , by from what has just been proved , the angles ACE and ВСЕ are also right angles . Hence , the two lines ale mutually perpendicular to each ...
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 33
... perpendicular can be drawn to a given straight line . Let A be a given point , and AB a perpendicular to DE : then can no other perpendicular to DE be drawn from A. A D B E F For , suppose a second perpendicular AC to be drawn . Prolong ...
... perpendicular can be drawn to a given straight line . Let A be a given point , and AB a perpendicular to DE : then can no other perpendicular to DE be drawn from A. A D B E F For , suppose a second perpendicular AC to be drawn . Prolong ...
Page 34
... perpendicular he let fall on the line , and oblique lines be drawn to differ . ent points of it : 1o . The perpendicular will be shorter than any oblique line . 2 ° . Any two oblique lines that meet the given line at points equally ...
... perpendicular he let fall on the line , and oblique lines be drawn to differ . ent points of it : 1o . The perpendicular will be shorter than any oblique line . 2 ° . Any two oblique lines that meet the given line at points equally ...
Other editions - View all
Common terms and phrases
ABCD 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence