Scientific and practical geometry for self-instruction1879 |
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Side viii
Rolla Rouse. angles , or alternate angles on same side of parallels ; the proof that the three angles of a triangle equal two right angles , that the external angle equals the two opposed angles , and is supplementary to the adjacent ...
Rolla Rouse. angles , or alternate angles on same side of parallels ; the proof that the three angles of a triangle equal two right angles , that the external angle equals the two opposed angles , and is supplementary to the adjacent ...
Side ix
... proof that " parallelograms ( or triangles ) on equal bases and between equidistant parallels are equivalent . " In Euclid no less than four Propositions ( 35 to 38 ) are given to attempt the results obtainable under Sect . 17 , and yet ...
... proof that " parallelograms ( or triangles ) on equal bases and between equidistant parallels are equivalent . " In Euclid no less than four Propositions ( 35 to 38 ) are given to attempt the results obtainable under Sect . 17 , and yet ...
Side x
... length himself , or take it as demonstrated . The proof is also attempted with triangles forming halves of the squares and rectangle to which the demonstration is applied . In this work ( Fig . 22 C ) the X INTRODUCTION .
... length himself , or take it as demonstrated . The proof is also attempted with triangles forming halves of the squares and rectangle to which the demonstration is applied . In this work ( Fig . 22 C ) the X INTRODUCTION .
Side xi
... proof is given with the entire quantities ; a rect- angle forming part of the square on the hypothenuse and the square on one side being proved ( by Sect . 17 ) to be re- spectively equivalent with a given parallelogram ( A ) , and ...
... proof is given with the entire quantities ; a rect- angle forming part of the square on the hypothenuse and the square on one side being proved ( by Sect . 17 ) to be re- spectively equivalent with a given parallelogram ( A ) , and ...
Side 5
... proof that the sides in those triangles are unequal , see Sect . 31 post , and in these triangles the angles are also unequal . 11. As regards the variation in angles . Acute - Angled Triangles have every angle less than a right angle ...
... proof that the sides in those triangles are unequal , see Sect . 31 post , and in these triangles the angles are also unequal . 11. As regards the variation in angles . Acute - Angled Triangles have every angle less than a right angle ...
Vanlige uttrykk og setninger
ab² abcd ac² adjacent angles altitude angles equal angles Sect Application axis bisected centre chord circle circumference consequently construction continued contour corresponding angles cutting deduction demonstration diagonal diameter distance divided division draw arc draw line draw the indefinite drawn ellipse equal angles equal bases equal Sect equal sides equidistant equivalent triangle Euclid example exterior angle external angle four right angles frustrum geometrical operations give greater hypothenuse inches included angle indefinite line isosceles triangle length Let abc let fall line ac line cd mark measure half mode Multiply number of sides oblique opposed angle parallel ruler parallelogram pendicular polygons proof proposition radii ratio rectangle reflex angle rhombus right line rule in Sect secant Sectns segment semicircle set square side ab side ac similar triangles slant height summit supplementary angles tangent third side trapezium triangle abc
Populære avsnitt
Side 14 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Side 7 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.
Side 96 - Any two sides of a triangle are together greater than the third side.
Side 73 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Side 278 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 14 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 266 - A sphere is a solid, bounded by a curved surface, every part of which is equally distant from a point within, called the centre.
Side 45 - From a given point without a line, to draw a perpendicular to that line. Let AB be the given line, and C the given point. From C draw any oblique line, as Cn.
Side 9 - The sign, + , which is read plus, indicates that the numbers between which it is placed are to be added ; thus, 6 + 4, means, that 4 is to be added to 6.