The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Βιβλίο 11853 |
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Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 1
... extremities of a line are points . OBS . A line is usually denoted by two letters , these two letters denoting the points which are the extremities of the line . But lines are sometimes denoted by a single letter . Ex . We speak of the ...
... extremities of a line are points . OBS . A line is usually denoted by two letters , these two letters denoting the points which are the extremities of the line . But lines are sometimes denoted by a single letter . Ex . We speak of the ...
Σελίδα 2
... extremities of a surface are lines . VII . A plane surface or plane is a surface , in which , if any two points be taken , the straight line of which they are the extremities , lies wholly in that surface , i . e . every point in the ...
... extremities of a surface are lines . VII . A plane surface or plane is a surface , in which , if any two points be taken , the straight line of which they are the extremities , lies wholly in that surface , i . e . every point in the ...
Σελίδα 3
... extremity of any thing . XIV . A figure is a portion of space which is enclosed by one or more boundaries ; and when all the points in a figure are also points in the same plane , the figure is called a plane figure . OBS . Unless the ...
... extremity of any thing . XIV . A figure is a portion of space which is enclosed by one or more boundaries ; and when all the points in a figure are also points in the same plane , the figure is called a plane figure . OBS . Unless the ...
Σελίδα 11
... extremities A of AB as centre , and with AB as radius , describe ( Post . 3 ) the circle BCD ; with the other extremity B of AB as centre , and BA as radius , describe the circle AEF ; and from the point & where these circles cut one ...
... extremities A of AB as centre , and with AB as radius , describe ( Post . 3 ) the circle BCD ; with the other extremity B of AB as centre , and BA as radius , describe the circle AEF ; and from the point & where these circles cut one ...
Σελίδα 12
... extremity of AB to which the part to be cut off is required to be adjacent , draw ( i . 2 ) the straight line AD equal to c ; and with centre A and radius AD describe ( Post . 3 ) the circle DEF , cutting AB in E. Then AE shall be equal ...
... extremity of AB to which the part to be cut off is required to be adjacent , draw ( i . 2 ) the straight line AD equal to c ; and with centre A and radius AD describe ( Post . 3 ) the circle DEF , cutting AB in E. Then AE shall be equal ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles are equal angular points base BC bisected centre circle ABC circle DEF circumference const cut the circle diagonal draw equal angles equal Ax equals add equi equimultiples exterior angle FGHKL fore four magnitudes fourth given straight line gnomon hence the angle homologous hyps included angle interior and opposite join less Let ABC multiple opposite angle parallelogram perpendicular produced PROP proportional proved radius rectangle contained remaining angle respectively equal right angles segment shewn sides BC similar solid angle square of AC THEOR thing are equal third angle three angles touching the circle triangle ABC unequal
Δημοφιλή αποσπάσματα
Σελίδα 39 - 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...
Σελίδα 52 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 16 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 5 - From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw, from the point A, a straight line equal to BC.
Σελίδα 11 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.
Σελίδα 105 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 118 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Σελίδα 66 - 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 of the line between the points of section, is equal to the square of half the line.
Σελίδα 6 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
Σελίδα 119 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.