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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 1
... Plane and Spherical Trigonometry John Playfair. ELEMENTS OF GEOMETRY . BOOK I. THE PRINCIPLES . EXPLANATION OF TERMS AND SIGNS . 1. Geometry is a science which has for its object the measurement of mag- nitudes . Magnitudes may be ...
... Plane and Spherical Trigonometry John Playfair. ELEMENTS OF GEOMETRY . BOOK I. THE PRINCIPLES . EXPLANATION OF TERMS AND SIGNS . 1. Geometry is a science which has for its object the measurement of mag- nitudes . Magnitudes may be ...
Página 8
... Plane and Spherical Trigonometry John Playfair. AXIOMS . 1. THINGS Which are equal to the same thing , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders ...
... Plane and Spherical Trigonometry John Playfair. AXIOMS . 1. THINGS Which are equal to the same thing , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders ...
Página 9
... Plane and Spherical Trigonometry John Playfair. PROPOSITION I. THEOREM . If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or ...
... Plane and Spherical Trigonometry John Playfair. PROPOSITION I. THEOREM . If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or ...
Página 15
... Plane and Spherical Trigonometry John Playfair. AB ; the angle ABC is also greater than the angle BCA . Make AD equal to AB , and join BD : and because ADB is the exterior angle of the triangle BDC , it is greater ( 9. 1. ) than the ...
... Plane and Spherical Trigonometry John Playfair. AB ; the angle ABC is also greater than the angle BCA . Make AD equal to AB , and join BD : and because ADB is the exterior angle of the triangle BDC , it is greater ( 9. 1. ) than the ...
Página 18
... Plane and Spherical Trigonometry John Playfair. PROP . XVII . THEOR . A perpendicular is the shortest line that can be drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the same ...
... Plane and Spherical Trigonometry John Playfair. PROP . XVII . THEOR . A perpendicular is the shortest line that can be drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the same ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore