The Element of GeometryW.E. Dean, 1836 - 114 σελίδες |
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Αποτελέσματα 1 - 5 από τα 56.
Σελίδα 13
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and ...
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and ...
Σελίδα 14
... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the tri- angle ABC ; and it ... Let ABC be a triangle , having the angle ABC ACB ; the side AB is also equal to the side AC . equal to the angle For ...
... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the tri- angle ABC ; and it ... Let ABC be a triangle , having the angle ABC ACB ; the side AB is also equal to the side AC . equal to the angle For ...
Σελίδα 15
... Let the two triangles ABC , DEF , have the three sides equal , that is , AB equal to DE , AC to DF , and BC to EF . The angles opposite the equal sides shall also be equal ; that is , the angle BAC to the an- gle EDF , ABC to DEF , and ...
... Let the two triangles ABC , DEF , have the three sides equal , that is , AB equal to DE , AC to DF , and BC to EF . The angles opposite the equal sides shall also be equal ; that is , the angle BAC to the an- gle EDF , ABC to DEF , and ...
Σελίδα 16
... ABC equal to the angle GBC , or DEF , and the angle ACB to the angle GCB , or DFE . Therefore , if , & c . Q. E. D. PROP . VIII . PROBLEM . To bisect a given finite straight line . Let AB be the given finite straight line ; it is ...
... ABC equal to the angle GBC , or DEF , and the angle ACB to the angle GCB , or DFE . Therefore , if , & c . Q. E. D. PROP . VIII . PROBLEM . To bisect a given finite straight line . Let AB be the given finite straight line ; it is ...
Σελίδα 17
... Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it ... ABC is a right angle , the angle FBC is also a right angle ( Cor . 3. 1. ) and the two triangles ABC , FBC have the ...
... Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it ... ABC is a right angle , the angle FBC is also a right angle ( Cor . 3. 1. ) and the two triangles ABC , FBC have the ...
Άλλες εκδόσεις - Προβολή όλων
The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF arc AC base BC bisect called centre circle ABCD circle EFGH coincide described divided drawn duplicate ratio equal 17 equal angles equal circles equal to CD equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides join less Let ABC Let the straight opposite angles parallel parallelogram perpendicular polygon PROB produced Q. E. D. PROP radius rectangle BC rectangle contained rectilineal figure remaining angle right angled triangle secant segment side AC similar sine square of AC straight line AB straight line AC THEOR touches the circle triangle ABC twice the rectangle wherefore whole angle
Δημοφιλή αποσπάσματα
Σελίδα 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Σελίδα 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Σελίδα 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Σελίδα 1 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Σελίδα 64 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...