Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 páginas |
Dentro del libro
Página 21
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
Página 22
... described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
Página 48
... described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . : PROP . XLIII . THEOR . The complements of the parallelograms which are about the diameter ...
... described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . : PROP . XLIII . THEOR . The complements of the parallelograms which are about the diameter ...
Página 50
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an ...
Página 51
... described upon the sides which contain the right angle . Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares de- scribed upon BA , AC . F G H K B On BC describe ...
... described upon the sides which contain the right angle . Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares de- scribed upon BA , AC . F G H K B On BC describe ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Información bibliográfica
| Título | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |