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Page xxi
... segments together with twice the rectangle contained by the segments 60 THEOREM 26. If a straight line be divided externally in CONTENTS . xxi.
... segments together with twice the rectangle contained by the segments 60 THEOREM 26. If a straight line be divided externally in CONTENTS . xxi.
Page xxii
... segments diminished by twice the rectangle contained by the segments THEOREM 27. The rectangle contained by the sum and difference of any two lines is equivalent to the difference of the squares on those lines One Corollary . THEOREM 28 ...
... segments diminished by twice the rectangle contained by the segments THEOREM 27. The rectangle contained by the sum and difference of any two lines is equivalent to the difference of the squares on those lines One Corollary . THEOREM 28 ...
Page xxiii
... distant from the centre , and conversely ; and of two unequal chords the greater is nearer to the centre than the less , and conversely Exercises 83 85 87 88 89 · 90 SECTION II . ANGLES IN SEGMENTS OF THE CIRCLE . CONTENTS . xxiii.
... distant from the centre , and conversely ; and of two unequal chords the greater is nearer to the centre than the less , and conversely Exercises 83 85 87 88 89 · 90 SECTION II . ANGLES IN SEGMENTS OF THE CIRCLE . CONTENTS . xxiii.
Page xxiv
... segment of a circle are equal to one another COR . 2. If a circle is divided into any two segments by a chord , the angles in the segments will be supplementary to one another • COR . 3. The angle in a semicircle is a right angle COR ...
... segment of a circle are equal to one another COR . 2. If a circle is divided into any two segments by a chord , the angles in the segments will be supplementary to one another • COR . 3. The angle in a semicircle is a right angle COR ...
Page xxv
... segment which shall be capable of a given angle PROBLEM 4. On a given straight line to describe a segment of a circle containing an angle equal to a given angle 105 106 PROBLEM 5. To draw a common tangent to two given circles · 107 ...
... segment which shall be capable of a given angle PROBLEM 4. On a given straight line to describe a segment of a circle containing an angle equal to a given angle 105 106 PROBLEM 5. To draw a common tangent to two given circles · 107 ...
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Common terms and phrases
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
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