Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 páginas |
Dentro del libro
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Página 39
... similar deflec- tions , turns backwards at C from the position DK to CL . PROP . XXXIII . THEOR . If the opposite angles of a quadrilateral figure be equal , its opposite sides will be likewise equal and parallel . In the quadrilateral ...
... similar deflec- tions , turns backwards at C from the position DK to CL . PROP . XXXIII . THEOR . If the opposite angles of a quadrilateral figure be equal , its opposite sides will be likewise equal and parallel . In the quadrilateral ...
Página 50
... not so direct as when the figure was previously reduced to an equivalent triangle ; but it seems better adapted for the solution of another similar problem - To constitute under the same conditions a rhom- 50 ELEMENTS OF GEOMETRY .
... not so direct as when the figure was previously reduced to an equivalent triangle ; but it seems better adapted for the solution of another similar problem - To constitute under the same conditions a rhom- 50 ELEMENTS OF GEOMETRY .
Página 62
... similar to the original line AB . But this line CF is made up , by joining the whole line AB , now become only the larger portion , to its greater segment BF , which next forms the smaller portion in the new compound . Hence this ...
... similar to the original line AB . But this line CF is made up , by joining the whole line AB , now become only the larger portion , to its greater segment BF , which next forms the smaller portion in the new compound . Hence this ...
Página 127
... similar composition , if the corresponding terms of each pair contain its measure equally . Two pairs of quantities of a similar composition , being thus formed by the same distinct aggrega- tions of their elementary parts , constitute ...
... similar composition , if the corresponding terms of each pair contain its measure equally . Two pairs of quantities of a similar composition , being thus formed by the same distinct aggrega- tions of their elementary parts , constitute ...
Página 148
... similar terms are proportional ( V. 22. ) , or ABC : BCD :: KMO : LNP . But A : D :: ABC : BCB ( V. 3. ) , and consequently A : D :: KMO : LNP . The same mode of reasoning is applicable to any num- ber of component ratios . PROP . XXIV ...
... similar terms are proportional ( V. 22. ) , or ABC : BCD :: KMO : LNP . But A : D :: ABC : BCB ( V. 3. ) , and consequently A : D :: KMO : LNP . The same mode of reasoning is applicable to any num- ber of component ratios . PROP . XXIV ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter side AC sides AB sine square of AC squares of AB straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore
Pasajes populares
Página 30 - ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
Página 333 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Página 294 - 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...
Página 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 137 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Página 84 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Página 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Página 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Página 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.