Elements of Geometry and Trigonometry |
From inside the book
Page 11
An equilateral triangle is one which has its three sides equal ; an isosceles triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has ...
An equilateral triangle is one which has its three sides equal ; an isosceles triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has ...
Page 13
Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the wholes will be equal . 3. If equals be taken from equals , the remainders will be equal . 4. If equals be added to unequals ...
Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the wholes will be equal . 3. If equals be taken from equals , the remainders will be equal . 4. If equals be added to unequals ...
Page 14
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ...
If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ...
Page 15
Hence , the angle FCD is equal to the angel FCE ( Ax . 10. ) ; which can only be the case when the lines CD and CE coincide : therefore , the straight lines which have two points A and B common , cannot separate at any point ...
Hence , the angle FCD is equal to the angel FCE ( Ax . 10. ) ; which can only be the case when the lines CD and CE coincide : therefore , the straight lines which have two points A and B common , cannot separate at any point ...
Page 16
Let AB and DE be two straight A lines , intersecting each other at C ; then will the angle ECB be equal to the angle ACD , and the angle ACE to the angle DCB . D B For , since the straight line DE is met by the straight line AC ...
Let AB and DE be two straight A lines , intersecting each other at C ; then will the angle ECB be equal to the angle ACD , and the angle ACE to the angle DCB . D B For , since the straight line DE is met by the straight line AC ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry DAVIES' COURSE OF MATHEMATICS |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Publisher | A.S. Barnes and Company, 1839 |
| Original from | Harvard University |
| Digitized | 14 Jan 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |