Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 193
... semiperimeter and its excess above the base , and the rectangle under the separate excesses of that semiperimeter above the two remaining sides . The area of the triangle ABC is a mean proportional between the rectangle under half the ...
... semiperimeter and its excess above the base , and the rectangle under the separate excesses of that semiperimeter above the two remaining sides . The area of the triangle ABC is a mean proportional between the rectangle under half the ...
Σελίδα 194
... semiperimeter - or of I the segments BH , HC , and AG , -above the side BC . But the sides AB E L and BC , with the segments AK and CK , or AI and CL , also form the perimeter ; whence , BI being equal to BL , the part AI is the excess ...
... semiperimeter - or of I the segments BH , HC , and AG , -above the side BC . But the sides AB E L and BC , with the segments AK and CK , or AI and CL , also form the perimeter ; whence , BI being equal to BL , the part AI is the excess ...
Σελίδα 195
... semiperimeter BI . Whence the area of the tri- angle ABC is a mean proportional between the rectangle under BI and its excess above AC , and the rectangle un- der its excess above BC and that above AB . Cor . Hence the area of a ...
... semiperimeter BI . Whence the area of the tri- angle ABC is a mean proportional between the rectangle under BI and its excess above AC , and the rectangle un- der its excess above BC and that above AB . Cor . Hence the area of a ...
Σελίδα 196
... and half the sum of their bases , or the semiperimeter of the polygon . Therefore the circle itself , since it forms the ultimate limit of the polygon , must have its area equivalent to the rectangle under the 196 ELEMENTS OF GEOMETRY .
... and half the sum of their bases , or the semiperimeter of the polygon . Therefore the circle itself , since it forms the ultimate limit of the polygon , must have its area equivalent to the rectangle under the 196 ELEMENTS OF GEOMETRY .
Σελίδα 257
... semiperimeter , and its excess above the base , as the square of the ra- dius , to the square of the cosine of half the con- tained angle . In the triangle ABC , the perimeter being denoted by P , AB.BC : PP - AC ) :: R2 : cos B2 . For ...
... semiperimeter , and its excess above the base , as the square of the ra- dius , to the square of the cosine of half the con- tained angle . In the triangle ABC , the perimeter being denoted by P , AB.BC : PP - AC ) :: R2 : cos B2 . For ...
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Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angle altitude angle ABC angle ADB angle BAC angle BCD 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 Geometry greater half Hence hypotenuse inscribed intercepted 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 sinAC sinB sine square of AB square of AC tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 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.
Σελίδα 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.
Σελίδα 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Σελίδα 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Σελίδα 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.
Σελίδα 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.