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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... Third Books ; the arrangement of those Books is similar to that of LEGENDRE , in his Elements of Geometry and Trigono- metry . As the properties of the sections of straight lines are easily derived from Algebra , the demonstrations of ...
... Third Books ; the arrangement of those Books is similar to that of LEGENDRE , in his Elements of Geometry and Trigono- metry . As the properties of the sections of straight lines are easily derived from Algebra , the demonstrations of ...
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... third Book , the re- marks concerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the elements of the science . Some propositions ...
... third Book , the re- marks concerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the elements of the science . Some propositions ...
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... third quantity , are equal to each other . 5. A Theorem is a demonstrative proposition ; in which some property i asserted , and the truth of it required to be proved . Thus , when it is said that the sum of the three angles of any ...
... third quantity , are equal to each other . 5. A Theorem is a demonstrative proposition ; in which some property i asserted , and the truth of it required to be proved . Thus , when it is said that the sum of the three angles of any ...
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... third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29. The word , therefore , or hence , frequently OF GEOMETRY . BOOK I. 3.
... third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29. The word , therefore , or hence , frequently OF GEOMETRY . BOOK I. 3.
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... third to the third , and so on . The phrase mutually equiangular has a corresponding signification . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . 33. We shall give the name , equivalent ...
... third to the third , and so on . The phrase mutually equiangular has a corresponding signification . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . 33. We shall give the name , equivalent ...
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