Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 σελίδες |
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Σελίδα 6
... propositions are all enunciated in general terms , with the utmost brevity which is consistent with clearness ; and , in order to remind the student to conclude his recitation with the enun ciation of the proposition , the leading words ...
... propositions are all enunciated in general terms , with the utmost brevity which is consistent with clearness ; and , in order to remind the student to conclude his recitation with the enun ciation of the proposition , the leading words ...
Σελίδα 7
... Proposition in the same Book , only the number of the Proposition is given ; but when the Proposition is found in a ifferent Book , the number of the Book is also specified . ELEMENTS OF GEOMETRY . BOOK I. GENERAL PRINCIPLES . Definitions.
... Proposition in the same Book , only the number of the Proposition is given ; but when the Proposition is found in a ifferent Book , the number of the Book is also specified . ELEMENTS OF GEOMETRY . BOOK I. GENERAL PRINCIPLES . Definitions.
Σελίδα 12
... propositions . 27. A scholium is a remark appended to a proposition . 28. An hypothesis is a supposition made either in the enun- ciation of a proposition , or in the course of a demonstration . Axioms . 1. Things which are equal to the ...
... propositions . 27. A scholium is a remark appended to a proposition . 28. An hypothesis is a supposition made either in the enun- ciation of a proposition , or in the course of a demonstration . Axioms . 1. Things which are equal to the ...
Σελίδα 14
... PROPOSITION II . THEOREM . The angles which one straight line makes with another , up › one side of it , are either two right angles , or are together equs to two right angles . Let the straight line AB make with CD , upon one side of ...
... PROPOSITION II . THEOREM . The angles which one straight line makes with another , up › one side of it , are either two right angles , or are together equs to two right angles . Let the straight line AB make with CD , upon one side of ...
Σελίδα 16
... PROPOSITION IV . THEOREM . Two straight lines , which have two points common , coinciae with each other throughout their whole extent , and form but one and the same straight line . Let there be two straight lines , having the points A ...
... PROPOSITION IV . THEOREM . Two straight lines , which have two points common , coinciae with each other throughout their whole extent , and form but one and the same straight line . Let there be two straight lines , having the points A ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD allel altitude angle ABC angle ACB angle BAC base bisected chord circle circumference cone convex surface cosine curve described diagonals diameter dicular divided draw ellipse equal angles equal to AC equiangular equilateral equivalent exterior angle figure foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect Join latus rectum less Let ABC logarithm major axis mean proportional meet multiplied number of sides opposite ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical triangle square subtangent tang tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 20 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
Σελίδα 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Σελίδα 34 - ... therefore the angle ACB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel to BD.
Σελίδα 32 - 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 159 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Σελίδα 151 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.