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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... distance of two thousand years , continue to form the most approved introduction to the mathematical sciences . This remarkable distinction the Greek Geometer owes not only to the elegance and correct- ness of his demonstrations , but ...
... distance of two thousand years , continue to form the most approved introduction to the mathematical sciences . This remarkable distinction the Greek Geometer owes not only to the elegance and correct- ness of his demonstrations , but ...
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... distance between the points A and B. The multiplication of numbers cannot be expressed by simple apposition . 23. When any quantities are enclosed in a parenthesis , or have a line drawn over them , they are considered as one quantity ...
... distance between the points A and B. The multiplication of numbers cannot be expressed by simple apposition . 23. When any quantities are enclosed in a parenthesis , or have a line drawn over them , they are considered as one quantity ...
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... a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY . BOOK I. 7.
... a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY . BOOK I. 7.
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... distance from B to C ; therefore BC is less than BA + AC , or BA + AC > BC . PROP . XIV . THEOR . If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be ...
... distance from B to C ; therefore BC is less than BA + AC , or BA + AC > BC . PROP . XIV . THEOR . If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be ...
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... distances on the other line , will be equal ; and any two other oblique lines , cutting off unequal distances , the ... distance . COR . 2. Hence , also , every point in a perpendicular at the middle point of a given straight line , is ...
... distances on the other line , will be equal ; and any two other oblique lines , cutting off unequal distances , the ... distance . COR . 2. Hence , also , every point in a perpendicular at the middle point of a given straight line , is ...
Otras ediciones - Ver todas
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