Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 100
Page 3
... propositions of Geometry are general truths , and ought to be stated in general terms , without reference to particular diagrams . In the following work , each proposition is first enunciated in general terms , and afterwards , with ...
... propositions of Geometry are general truths , and ought to be stated in general terms , without reference to particular diagrams . In the following work , each proposition is first enunciated in general terms , and afterwards , with ...
Page 11
... Propositions . 10. A LEMMA is an auxiliary proposition . 11 , A COROLLARY is an obvious consequence of ono more propositions . ΟΥ 12. A SCHOLIUM is a remark made upon one or more propositions , with reference to their connection , their ...
... Propositions . 10. A LEMMA is an auxiliary proposition . 11 , A COROLLARY is an obvious consequence of ono more propositions . ΟΥ 12. A SCHOLIUM is a remark made upon one or more propositions , with reference to their connection , their ...
Page 12
... proposition , or in the course of a demonstra- tion . 14. Magnitudes are equal to each other , when each con- tains the same unit an equal number of times . 15. Magnitudes are equal in all respects , when they may be so placed as to ...
... proposition , or in the course of a demonstra- tion . 14. Magnitudes are equal to each other , when each con- tains the same unit an equal number of times . 15. Magnitudes are equal in all respects , when they may be so placed as to ...
Page 19
... Proposition ; Prob . for Problem ; Post . for Postu- late ; and S. for Scholium . In referring to the same Book the number of the Book is not given ; in referring to any other Bock , the number of the Book is given . PROPOSITION I ...
... Proposition ; Prob . for Problem ; Post . for Postu- late ; and S. for Scholium . In referring to the same Book the number of the Book is not given ; in referring to any other Bock , the number of the Book is given . PROPOSITION I ...
Page 20
Adrien Marie Legendre. PROPOSITION I. THEOREM . If a straight line meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal ...
Adrien Marie Legendre. PROPOSITION I. THEOREM . If a straight line meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal ...
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